satellite is moving in an elliptical orbit about a planet. The equation of its planar orbit is 3x? -4y² = 20. If the velocity of the satellite in the y direction is 10 when the y coordinate of the tellite is 2, what is the velocity in the x direction at that time?

Q: Write the first five terms of the arithmetic sequence. a1=3, d=6

A: Let's five terms of arithmetic sequence are a-2d,a-d,a,a+d,and a+2d Then a-2d=3 ,d=6 a=3+2×6=3+12 a=...

Q: 4.) Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder ha...

A: The given question can be solved as shown in step2

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Q: What is the maximum value of f(x) = x³ + 3x² -2 ? Answer:

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Q: A one-to-one function is given. Write an equation for the inverse function. X-4 v (x) = x+5 (x) = D

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Q: Question Select your answer. Given f(x) 1 and a = -3, find f'(a). 1 1 9. 1 1 9 Answer

A: We have given function  fx=-5x+4x2 f'x=ddxfx f'x=-5dxdx+4ddxx2 f'x=-5+42x f'x=-5+8x Put x=2 f'2=-5+8...

Q: A farmer has 800 meters of fencing material to enclose a rectangular pen adjacent to a long existing...

A: Let's  answer 3rd questions. 

Q: et f(x) = x³ + 4x. Using fact that f(2) = 16 find (f-1)'(16)

A: Topic:- application of derivatives

Q: Given the triangle below, find sec(0). Enter an exact answer in fraction form. 5 12 13 Provide your ...

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Q: What is the slope of the line tangent to the graph of a function defined by f(x)= x² + √x at x=1?

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Q: D. A student attempts to solve the differential equation dy %3D ry' with the initial condition that ...

A:

Q: Consider the function f(z) = 2x°- 6r on the interval -3, 3]. Find the average or mean slope of the f...

A: topic - functions and derivatives

Q: Let y=(x+sin(x))^5 Find g(x) and f(x) so that y=(f∘g)(x), and compute the derivative using the Chai...

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Q: (a) Use the power-law expansion for eox and sin(nx) near x = 0 to approximate the integrand as a cub...

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Q: B. Use the properties of continuity to determine where each function is continuous. 1. f(x) = 2x-x3 ...

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as...

Q: 4. Find the constant a so that e +y = I-l is an implicit solution to e %3D tay O 5/2 О 32

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Q: The isotope of plutonium 238. Pu is used to make thermoelectric power sources for spacecraft. Suppos...

A:

Q: Q5 A) find dr for the function y = x' + Inx

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Find all the values of x where the graph of f(x) = 2x – 24x2 + 72 - 1 has a horizontal tangent line....

A:

Q: Find the following using the table below. 1 2 3 4 f(x) f'(x) g(x) g'(x) 4 2 1 2 4 3 1 3 2 4 4 2 1 h'...

A: Find h'(1) if  a) h(x)= f(x).g(x)  b)h(x)=f(x)/g(x)  c) h(x)= f(g(x))   Where , f(1) = 3 , g(1)= 1, ...

Q: The tangent to the graph of f(x) = 1/x^2 at point (2, 1/4) form a triangle. Find the area of the tri...

A: Given query is to find the area of the triangle formed by tangent.

Q: a The value of an investment account has a doubling time of 13 years and $35,000 was originally depo...

A:

Q: Solve for E. log E- 12.2 = 1.44 M (used in geology) E E =D e

A: Topic = Algebra

Q: nctions f(x) = 3 + VI, 9(x) = x² – 3, %3D (a) (fo g)(x) (b) (go m)(r)

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Q: 2n (a) ) n + 2 n=1

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Q: (lx] + 3 , ={-2x (6x +2, I<-3 Q4) Check the continuity of f(x) - 3 <x< 3 x2 3

A: topic - limits and continuity

Q: f(x)=6x-10 , g(x)= x^2+3x+8 (gof)(-2) = 55 none of these 25

A:

Q: To evaluate the integral V-x² + 9 xp- which of the following substitution should be used? Select one...

A: ∫-x2+9xdx

Q: Given the following functions: f(u)=tan⁡(u) and g(x)=x^8. Find: f(g(x)) = f'(u) = f'(g(x)) ...

A: The given functions,fu=tanu and g(x)=x8

Q: Find a formula for thr nth term of the arithmetic sequence. 24,22,20,18,16, …

A: Given query is to find the nth term of the sequence.

Q: 2n n=1 п+ en

A:

Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

A: polynomial function is that in which the power is positive and non-zero integer. so here lets check ...

Q: 1. Find the truncuated error of the Maclaurin series sinx cosx given that is truncated into 3 terms....

A: This is a problem of series expansion. Maclaurin series is nothing but taylor series expansion at va...

Q: The differential equation dy = xy+2y written correctly in separable form is dx dy dy (A) - = (x+2)dx...

A: Topic:-  differential equations  Note :- as per our guideline if more than one question uploaded tha...

Q: Differentiate f(x) = arcsin(3x). Use exact values. %3D f'(x) =

A: Solution is written in below steps.

Q: d. If a rational function has a finite limit as x , then it must have a finite limit as x 43. Explai...

A: Topic:- calculus

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it d...

A: Topic = Integration

Q: Determine whe ther the series is Convergent test that you use. diver gent.write the exact or n=2

A: We have to check weather the given series is convergent or divergent.

Q: Q4/ Find the centroid of the triangular region cut from the first quadrant by the line x + y = 3.

A: Topic:- geometry

Q: The monthly costs for a small company to do business has been increasing over time due in part to in...

A:

Q: A 4-meter length of stiff wire is cut in two pieces. One piece is bent into the shape of a square an...

A: Length of the wire = 4 m,  One piece is bent into the shape of a square and the other into a rectang...

Q: dx 3— 2л — т2

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Q: Solve over the interval [0, 2n) 2cos23x + sin3x = 1

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Q: Differentiate the function. 1 g(x) 6 ,2 6x + 15 !! | g'(x) = %3D

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Q: If y=3xe , then what is d²y. 3x dx 2

A: Let's find. 

Q: 茂 cos x dx = 0 COS Select one: O True O False

A: This question is related to definite integration, we will solve it using given information. 

Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

A: Polynomial function :A Polynomial function in standard form is             f(x) = anxn+an-1xn-1 +......

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular...

A:

Q: Evaluate (x+1)2 In3x dx Then, write the coefficient of the integral: Blank 1(*+1) ³ In3x + Blank 2 x...

A: topic - indefinite integral

Q: Two owners of a cattle ranch, Robert and Val, want to find the average weight for the ranch’s 200 co...

A: Given : Instead of weighing all of the cows: Robert weighs 25 cows and gets an average weight of 1,5...