04/05/24

Finding a unit normal vector to a surface

Find a unit normal vector to the surface z(x,y,z)=0 at the point P(-4,-5,9) for the functionf(x,y,z)=ln(-4x/(-5y-z))Please write your answer as a vector ⟨a,b,c⟩ with a negative z component, and... more
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07/17/22

Finding Work (Calculus 2)
A force of 55 pounds is required to hold a spring that is stretched 0.3 feet beyond it's natural length.How much work (in foot-pounds) is done when stretching the spring from it's natural length to... more
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03/25/22

Use the left-endpoint approximation to approximate the area under the curve of f(x ) = 3/x on the interval [1,4] using n=3 rectangles.
Submit your answer using an exact value. For instance, if your answer is 10/3, then enter this fraction as your answer in the response box.Area= ___ unit^2?
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03/24/22

Calculus Particle Motion Question hw
given that a particle moves according to the function: s(t)=t(t-6)^2 , find (s is in meters, t is in seconds):a. the velocity at all timesb. the velocity at t=2c. when the particle is at rest?... more
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03/24/22

please help with this math probability statistical question
Has a brother Does not have a brother Has a sister 2 3 Does not have a sister 10 7 In a class of students, the following data table summarizes how many students have a brother or a sister.... more
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03/24/22

Compute the derivative of the function 𝑦=6cos^−1 (4𝑥) at the point 𝑥=1/6. (Use symbolic notation and fractions where needed.) 𝑦′(1/6)=
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03/24/22

Find an equation of the tangent line to the curve cos(𝑥)+13𝑦^2=𝑥𝑦^9 + 40 at the point (0,√3). Assume that 𝑦 is a function of 𝑥.

Express all numbers in exact form and write the equation of the tangent line in terms of 𝑥 and 𝑦.equation:
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03/24/22

Differentiate 𝑒^𝑦^7/𝑥^4 with respect to 𝑥, assuming that 𝑦 is implicitly a function of 𝑥. (Use symbolic notation and fractions where needed. Use 𝑦′ in place of 𝑑𝑦/𝑑𝑥. )

𝑑/𝑑𝑥(𝑒^𝑦^7/𝑥^4) = ______________
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03/24/22

A solid shaft of diameter d = 10 cm (Fig. 1.37) is subjected to a tensile force P = 10,000 N and a torque T = 5000 N cm. At point A on the surface,determine the principal stress,

A solid shaft of diameter d = 10 cm (Fig. 1.37) is subjected to a tensile force P = 10,000 N and a torque T = 5000 N cm. At point A on the surface,determine the principal stress, the octahedral... more
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03/24/22

Find k'(x) if k(x)= e (-2x^4 - 4x^1/3)
Use derivative for the exponential function
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03/24/22

Maximum and Minimum on an Interval Question
The fuel efficiency, E, in litres per 100 kilometres, for a car driven at speed v, in km h, isE(v)=1600v/v2 +6400a) If the speed limit is 100 km h, determine the legal speed that will maximize the... more
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03/23/22

Let f be the function given by f(x)= \int_(10)^x (-t^2+2t+3)dt. On what intervals is f decreasing?
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03/23/22

A 0.456 kg piece of iron is at an inital tempeerature of 29.5 C . If 87.3 J of thermal energy is removed from the piece of rion what is the final temperature
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03/23/22

A block of ice at -17 degrees C is converted to water at 29 degrees C when 9.4 X 10^5 J of thermal energy is added to the system. What is the mass of the water.

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03/23/22

Perform Riemann Sum formula for approximating the value of the area of the given equation: y=√x -2 . from x=1 to x= 10
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03/23/22

Find k'(x) if k(x)= e (4/5x^5/2 + 2/5x^2/5)
Use derivative and all I know is that it's a 2 part answer but just confused on 2nd part after finding derivative.
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03/23/22

Derivaties question. Can someone walk me through this question? I need help
The curve with the equation y^2=(x^3) + 3x^2 is called the Tshirnhausen cubic. Find the equation of the tangent to this curve at a point (1,-2).From what I know already I believe I'm supposed to... more
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03/23/22

Related rates are confusing. Can someone please explain how to do this problem. should I be using the formula for a right triangle?

The hypotenuse of a right triangle is a fixed length but the lengths of the other 2 sides x and y vary with time. How fast is y changing when dx/dt=4 and x=20 if the length of the hypotenuse is... more
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03/21/22

Trig Identity clarification
The question is: sin theta = cos (theta + 10)For my answers I got theta = 90o - (theta + 10o) + 360on : [180o(9n +2)]/9 theta = 180o - (90o - (theta + 10o)) = 360on For the second I found it's true... more
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03/21/22

Calculus Related Rates Question
Helium is pumped into a spherical balloon at a rate of 4 cubic feet per second. How fast is the radius increasing after 2 minutes?Rate of change of radius (in feet per second) =  ???
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03/20/22

A jet flying at 119 m/s banks to make a horizontal circular turn. The radius of the turn is 3810 m, and the mass of the jet is 2.35 × 105 kg. Calculate the magnitude of the necessary lifting force.
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03/20/22

A satellite circles the earth in an orbit whose radius is 4.50 times the earth's radius. The earth's mass is 5.98 x 1024 kg, and its radius is 6.38 x 106 m. What is the period of the satellite?
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03/17/22

What is the Velocity in ft/sec?
Two pumps pump at 200 gpm each. What is the Velocity in ft/sec if the discharge pipe is 12in diameter?
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03/17/22

pre-calculus operations on functions
f(x)=2x+1, g(x)=√x(f+g)(4), (f-g)(-2), (fg)(1), and (f÷g)(0).
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03/09/22

A graphing calculator may NOT be used for the following problem
The spread of a fungal infection in an ant colony can be modeled by dy/dt = (y+1) / 2√ t where t is the time in hours and y is the percent of the ants infected. At t = 1 only three percent of the... more
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