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Calculus

07/29/23

vectors problem

Find the vector and scalar equations for the plane through A(1, 0, 10), B(5, -5, 3), and C(8, 8, 2).

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Calculus

07/29/23

vectors problem

Given the points A(3, 5) and B(-3, -7) find: The vector equation of the line through them. The parametric equations of the line through them. The symmetric equation of the line. The scalar... more

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Calculus

07/29/23

vectors problems

Classify each measurement as a vector or a scalar. The volume of a bottle is 591 mL A car is travelling at 85 km/h proju→v→ A ship is sailing at 45 knots with a bearing of 172° AB→ The moon’s... more

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Calculus

07/29/23

vectors problem

Find the distance between the point (10,100,1000) and the plane [x,y,z]=[1,1,1]+s[5,−5,3]+t[−1,1,3]

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Calculus Precalculus

07/29/23

Employ the limit of a quotient of polynomial to find limx→∞ P(x)/Q(x) , where P(x) and Q(x) are polynomial in x. What is the value of limx→∞ 4x^4 + 5x + 1 / 37x^3 − 9

Choices:A. no limit B. 0 C. −∞ D. 4/37

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Calculus Precalculus

07/29/23

A function f(x) is said to be continuous at a point x = a, in its domain if the following statements are satisfied:

I. f(a) exists II. lim x→a f(x) exists III. right-hand limit ≠ left-hand limitIV. Both are finiteChoices:A. Statements I, II, and III only B. Statements II, III, and IV only C. Statements I, II,... more

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Calculus Precalculus

07/29/23

The derivative of 1,000 is equal to _______.

A. ∞ B. nonexistence C. − ∞ D. 0

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Calculus Precalculus

07/29/23

Finding the derivatives of the inverse trigonometric functions involves using _____ and the derivatives of regular trigonometric functions.

Choices:A. Chain ruleB. explicit differentiation C. Implicit differentiationD. All of these

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Calculus Precalculus

07/29/23

The derivatives of trigonometric functions consist of sinx, cosx,tanx, cotx, secx, and cscx. All these functions are continuous and differentiable in their _______.

Choices:A. domains B. ranges C. intervals D. x and y – axes

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Calculus Physics

07/29/23

The terms jerk, snap or jounce, crackle, and pop etc. are commonly used to indicate______.

Choices:A. Derivative of Position C. Limits of DifferentiationB. Higher Order Derivative D. Techniques of Extracting Derivatives

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Calculus Precalculus

07/29/23

If a function f has a derivative at x = c, which of the following statements is TRUE?

I. Function f is continuous at x = C.II. The limit of f at x = C is differentiable and exists.III. Its graph cannot have a hole or jump at C.IV. The tangent to the graph of f can be vertical at x =... more

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Calculus Precalculus

07/29/23

In calculating the average rate of a function, which of the following statements holds TRUE?

Choices:A. Finding the slope of a tangent line between any two points in a function.B. Finding the average value between any two points in a given function.C. Finding the derivative of a graph at... more

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Calculus Precalculus

07/29/23

Which of the following is the first-step in getting the derivative using Four-Step-Rule?

A. Every increment x and ∆x and y by ∆y.B. Substitute y = f(x) and solve for ∆y.C. Divide both sides of the equation by ∆x.D. Determine the limit of both sides as ∆x approaches zero.

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Calculus

07/29/23

Please help me to solve related rate problem

Two people start from the same point. One walks east at 3 mi/h and the other walks northeast at 5 mi/h. How fast (in mi/h) is the distance between the people changing after 15 minutes? (Round the... more

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Calculus

07/28/23

why the direction to the north is negative?

Car A is traveling west at 50 mi/h and car B is traveling north at 60 mi/h. Both are headed for the intersection of the two roads. At what rate are the cars approaching each other when car A is 0.3... more

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Calculus

07/28/23

Solve by techniques of integration

Integrate the following rational function: S (3x ^3 - 17 x^2 + 36x - 35) / (x^2 – 4x + 4) dx

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Calculus

07/28/23

Consider the following function. f(x) = x^2 / x^2 − 25 .Complete the following table below. (Round your answers to two decimal places.)

x −5.5 −5.1 −5.01 −5.001 −5 −4.999 −4.99 −4.9 −4.5 f(x) ? 2.Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary integer if necessary. If an... more

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Calculus

07/27/23

Applications to Geometry

Consider the region bounded by y = ex, the x-axis, and the lines x - 0 and x = 6. Find the volume of the solid obtained by rotating the region about the horizontal line y = -3.Round your answer to... more

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Calculus

07/27/23

Applications to Geometry

Consider the region bounded by y = x2, y = 1, and the y-axis for x ≥ 0. Find the volume of the solid obtained by rotating the region around the line y = -8.V = Hint: Find the inner radius and outer... more

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Calculus

07/27/23

Applications to geometry

Consider the region bounded by y = x2, y = 81, and the y-axis, for x ≥ 0. Find the volume of the solid obtained by rotating the region around the y-axis.Hint:Slice the object into disks... more

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Calculus

07/27/23

calculus word problem

An apple orchard has 2000 trees per hectare and the average yield is 300 apples per tree. For each additional tree planted per hectare the average yield per tree is reduced by about 0.1 apple. How... more

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Calculus

07/27/23

calculus word problem

An isolated farm house is located on the bank of a straight canal that is 200 m wide. Electric power for the house must come from a connection that is on the opposite side of the canal, 500 m... more

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Calculus

07/27/23

calculus word problem

A train service carries 20,000 people daily between Rationalia and Real City. The rail line could serve up to 31,000 people. The cost to ride the train is $π, but research shows that for each fare... more

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Calculus

07/27/23

calculus word problem

A train service carries 20,000 people daily between Rationalia and Real City. The rail line could serve up to 31,000 people. The cost to ride the train is $π, but research shows that for each fare... more

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Calculus

07/27/23

wire problem for calculus

An artist has 9 m of wire. They will cut it into two pieces. One will be bent into a square while the other will be bent into a circle. Where on the wire should they cut to get the smallest total... more

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vectors problem

vectors problem

vectors problems

vectors problem

Employ the limit of a quotient of polynomial to find limx→∞ P(x)/Q(x) , where P(x) and Q(x) are polynomial in x. What is the value of limx→∞ 4x^4 + 5x + 1 / 37x^3 − 9

A function f(x) is said to be continuous at a point x = a, in its domain if the following statements are satisfied:

The derivative of 1,000 is equal to _______.

Finding the derivatives of the inverse trigonometric functions involves using _____ and the derivatives of regular trigonometric functions.

The derivatives of trigonometric functions consist of sinx, cosx,tanx, cotx, secx, and cscx. All these functions are continuous and differentiable in their _______.

The terms jerk, snap or jounce, crackle, and pop etc. are commonly used to indicate______.

If a function f has a derivative at x = c, which of the following statements is TRUE?

In calculating the average rate of a function, which of the following statements holds TRUE?

Which of the following is the first-step in getting the derivative using Four-Step-Rule?

Please help me to solve related rate problem

why the direction to the north is negative?

Solve by techniques of integration

Consider the following function. f(x) = x^2 / x^2 − 25 .Complete the following table below. (Round your answers to two decimal places.)

Applications to Geometry

Applications to Geometry

Applications to geometry

calculus word problem

calculus word problem

calculus word problem

calculus word problem

wire problem for calculus

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