Mark M.

11/01/21

If the speed limit is 60 mph, can the police cite you for speeding.

At 10:17 am you pass a police car at 55 mph that is stopped on the freeway. You pass a second police car at 55 mph at 10:53 am, which is located 39 miles from the first police car. If the speed... more

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Calculus Derivative

10/30/21

How do I find f(x) and a, of this derivative limit

The question says "The limit below represents a derivative of f'(a). Find f(x) and a.The problem it gives me is lim (h->0) ((2+h)^4-16)/h.

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Math Calculus

10/27/21

Find two numbers whose difference is 96 and whose product is a minimum. = ? (smaller number) = ? (larger number)

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Precalculus Pre Calculus Pre Calculus

10/27/21

Solve Logarithmic Equation for y

Pareto's law for capitalist countries states that the relationship between annual income x and the number y of individuals whose income exceeds x islog y = log b − k log x,where b and k are... more

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Math Calculus Precalculus

10/27/21

How to solve this one?

Check whether lim(x→−2) f(x) exists or not, where f(x)= {3x+2 , x<−2; x2+3x−1, x≥−2}

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Math Algebra 1 Algebra 2

10/26/21

Line g contains A(–4, 3) and B(3, 1). Line h contains S(–1, –1) and T(6, y). In order for g to be parallel to h, what is the y-coordinate of T?

A)-3B)-1C)0D)1

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Calculus

10/26/21

Given F (3) = 2, F' (3) = 6, F (4) = 2, F' (4) = 3 and G (2) = 7, G' (2) = 2, G (3)=4, G' (3)=4

Given F (3) = 2, F' (3) = 6, F (4) = 2, F' (4) = 3 and G (2) = 7, G' (2) = 2, G (3)=4, G' (3)=4,find each of the following.( Enter dne for any derivative that cannot be computed from this... more

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Precalculus

10/26/21

Prove the identity.

sin(6x) = 2 sin(3x) cos(3x)

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Precalculus

10/26/21

Find the exponential function f ( x ) = a ^x that passes through the point ( − 2 , 25 ) and has a y-intercept of 1.

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Algebra 2

10/26/21

When you reverse the digits in a certain two digit number you decrease its value by 36. Find the number if the sum of tis digits is 14.

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Answers •1

Calculus Algebra

10/25/21

The limit limh→0cos(π+h)−(−1)h represents f′ (a) for some function f and some number a. Find f(x) and a.

The limit lim h→0 [cos(π+h)−(−1)] / h represents f′ (a) for some function f and some number a. Find f(x) and a. f(x) = ??a = πI know that a = π , so I added that in.

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Algebra 2 Calculus Calculus

10/25/21

Determine whether k(x) is continuous at x=1.

k(x) =1-x2, x<1k(x)= x+1, 1<= x<2k(x) = √x+2, x>=2

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Trigonometry

10/25/21

Polar to rectangular

The letters r and \theta represent polar coordinates. Write the given equation using rectangular coordinates (x,y). r=3

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Calculus

10/24/21

nobody is answering this b) for 0 less than or equal to t less than or equal to 7, must there be a time when W9t) =18? Explain

t (minutes)--> 0 1 2 4 6 7W(t) (ounces)--> 0 8 13 22 25 33water is dripping into a cup. The amount of water in the cup at time t, 0 less than or equal to t which is less than or equal to 6,... more

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Math Trigonometry Sat Math

10/24/21

Use of trig formulas

a) 1+cos(8a)=?, given that 1+cos(2a)=2cos2(a)b) sin2(4a)=?, given that sin(2a)=2sin(a)*cos(a)

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Answers •2

Algebra 1 Algebra 2 Algebra

10/24/21

What is the rate of the rowing team in calm water and the rate of the current.

A rowing team rowing with the current traveled 48 km in 4 h. Rowing against the current, the team rowed 16 km in the same amount of time. Find the rate of the rowing team in calm water and the rate... more

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Trigonometry

10/23/21

2sin2x+cosx-1=0

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Math Algebra 1 Algebra 2

10/23/21

true or false diagonalisation

For each of the following statements, select True or False(i) Every square matrix is diagonalisable(ii) If an matrix is diagonalisable then it must have n distinct eigenvalues (i.e. all of them... more

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Algebra 1

10/22/21

What is an equation of the line that passes through the point (1,6) and is perpendicular to the line x+3y=27?

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Math Calculus

10/21/21

Let f(x) = 4sin(x). What is the absolute value of f'(x) <= ? By Mean Value Theorem, absolute value of (f(a)-f(b)) <= [blank] absolute value of (a-b) for all a and b.

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Calculus

10/20/21

calculus math 202

Given 2x2y - 2y3 = 5x - 4 , use implicit differentiation to find the derivative y'=dy/dx and evaluate it at the point (x,y)=(2,1). a y' = 9/25 b y' = -9/7 c y' = 4/3 d y' = -3/4 e y'... more

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Algebra 1

10/20/21

eigenvalue and multiplicity

Suppose that a matrix is known to have exactly two distinct eigenvalues, 9 and 3. If the trace of the matrix is 33 and the determinant is 6,561 then what is the multiplicity of the eigenvalue 9?

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Math Calculus

10/19/21

Suppose that 4 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of f(4) − f(1)?

??? ≤ f(4) − f(1) ≤ ???fill in the blanks

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Math Calculus

10/19/21

If f(3) = 11 and f '(x) ≥ 3 for 3 ≤ x ≤ 5, how small can f(5) possibly be?

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Answers •1

Calculus Differential Equations

10/19/21

Let y = 3x2 Find the change in y, Δy when x = 5 and Δx = .2 Find the differential dy when x = 5 and dx = .2

Let y = 3x2Find the change in y, Δy when x = 5 and Δx = .2Find the differential dy when x = 5 and dx = .2

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Answers •1

If the speed limit is 60 mph, can the police cite you for speeding.

How do I find f(x) and a, of this derivative limit

Find two numbers whose difference is 96 and whose product is a minimum. = ? (smaller number) = ? (larger number)

Solve Logarithmic Equation for y

How to solve this one?

Line g contains A(–4, 3) and B(3, 1). Line h contains S(–1, –1) and T(6, y). In order for g to be parallel to h, what is the y-coordinate of T?

Given F (3) = 2, F' (3) = 6, F (4) = 2, F' (4) = 3 and G (2) = 7, G' (2) = 2, G (3)=4, G' (3)=4

Prove the identity.

Find the exponential function f ( x ) = a ^x that passes through the point ( − 2 , 25 ) and has a y-intercept of 1.

When you reverse the digits in a certain two digit number you decrease its value by 36. Find the number if the sum of tis digits is 14.

The limit limh→0cos(π+h)−(−1)h represents f′ (a) for some function f and some number a. Find f(x) and a.

Determine whether k(x) is continuous at x=1.

Polar to rectangular

nobody is answering this b) for 0 less than or equal to t less than or equal to 7, must there be a time when W9t) =18? Explain

Use of trig formulas

What is the rate of the rowing team in calm water and the rate of the current.

2sin2x+cosx-1=0

true or false diagonalisation

What is an equation of the line that passes through the point (1,6) and is perpendicular to the line x+3y=27?

Let f(x) = 4sin(x). What is the absolute value of f'(x) <= ? By Mean Value Theorem, absolute value of (f(a)-f(b)) <= [blank] absolute value of (a-b) for all a and b.

calculus math 202

eigenvalue and multiplicity

Suppose that 4 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of f(4) − f(1)?

If f(3) = 11 and f '(x) ≥ 3 for 3 ≤ x ≤ 5, how small can f(5) possibly be?

Let y = 3x2 Find the change in y, Δy when x = 5 and Δx = .2 Find the differential dy when x = 5 and dx = .2

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