A ball is thrown up on the surface of a moon. Its height above the lunar surface (in feet) after t seconds is given by the formula 142 h = 476t – Find the time that the ball reaches its maximum height. Answer = Find the maximal height attained by the ball Answer =

Q: Find the derivative of the function. g(t) = t^2 − 9/t^3

A: Given, g(t) = t2 - 9/t3 then d(g(t))/dt = g'(t) Differentiating both sides with respect to t  

Q: Evaluate the integral. eu + 3 du -3

A: ∫-31eu+3 du

Q: d'y dy +5- da The order of the differential equation: 5 sin z is dr3

A:

Q: Evaluate each definite integral using the Fundamental Theorem of Calculus, Part 2. 181.  16 ∫   (d...

A: Given, Part a: F(t)=∫116dtt4F'(t)=f(t)∫abf(t) dt=F(b)-F(a) Taking the derivative of the given integr...

Q: A ball is propelled from a cliff 320 feet above ground level. The height above ground, in feet, is m...

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Q: Find f. f '(t) = 4 cos(t) + sec?(t), -п/2 <t< a/2, f(л/3) %3 1 f(t) =

A:

Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 4x; R(x) = 9x - 0.00...

A: Given: Cx=4xRx=9x-0.001x2

Q: Solve the problem fast please

A: Given: The differential equation is d2ydx2+dydx-56y=0.

Q: See image :)

A:

Q: In the following exercises, identify the roots of the integrand to remove absolute values, then eval...

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Q: Evaluate the improper integral: dx CA. 0 CB. -00 Oc. 0 CD. In 3 E. None of these

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Q: as a balloon in the shape of a sphere is being blown up, the volume is increasing at the rate of 4 c...

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Q: 6.a

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Q: I need to see the steps on how to solve please. Please and thank you!

A: Consider the figure,

Q: 4.

A: 4.(a) To find complex limits: limz→1-iz-z¯z+z¯ We know that: z¯=z2z Using this we will evaluate the ...

Q: 5) Find GF

A: Given,          

Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. cos(t) csc(t)

A:

Q: Find the distance from (2, -7, 8) to each of the following. (a) the xy-plane (b) the yz-plane (c) th...

A: (a) Consider the provided information, The point 2,-7,8 So, the length perpendicular from 0 point 2,...

Q: Sketch the graphs of the functions f and g. f(x) = −x2 + 2x + 2,    g(x) = −x + 2     Find the are...

A:

Q: Given the graph of the second derivative f"(x) shown below, exactly how many inflection points does ...

A: Given the graph of second derivative of f(x).  To find the number of inflection points. 

Q: Solve the given differential equation (2x-y +2)dx + (6x -3y +1)dy = 0

A: Given:                              (2x-y +2)dx + (6x -3y +1)dy = 0   Solution:                     ...

Q: Find f. f'(x) = 1 + 3Vx, f(4) = 23

A: We are solving the first question and for the ext question post the question again and alsomention t...

Q: This should clear up. Its asking to prove y'.

A:

Q: 10 What is the value of S" F'(x) dx ?

A: Given,            y=Fx         We know that,        ∫abF'xdx=Fb-Fa

Q: An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round - a...

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Q: Find the maximum value of f(x)=x^3-3x on the set of all real numbers x satisfying x^4+36&lt; (less t...

A: Given: The function fx=x3-3x To find: The maximum value of given function on the set of all real num...

Q: help with 8

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Q: 6. Find the area of the region bounded by a parabola and a line: y = r-4x and y = 2x. Find the two i...

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Q: Identify the roots of the integrand to remove absolute values, then evaluate using the Fundamental T...

A: ∫-π2π2|sint|dt In the given interval , sin (0) =0  so root at x=0 from x=-π2 to 0 the value of sin (...

Q: 2. Evaluate each of the following line integrals in two ways∗.(a) ZC1F~1 · d~r, where F~1(x, y) = (2...

A: Given vector field is F→(x,y)=(2x-cosy)i^+(xsiny)j^F→.dr→=(2x-cosy)dx+(xsiny)dy C1 is the straight-l...

Q: Use Fundamental Theorem of Calculus to find the shaded area R. Note: Area is always positive. You wi...

A: Given: The shaded area R is as follows;  

Q: use the half-angle identities to find the desired function values. if cos x=1/4 and cot x &lt; 0 , f...

A:

Q: Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing th...

A:  Since you have asked multiple questions in single request  so we  will be answering only first ques...

Q: b) Use the concept of infinite limit to compute the following: (1 – i)z + i lim 2-i/2 2z +i

A: To compute the limit: limz→i21-iz+i2z+i Explanation: The concept of limit states that if the highest...

Q: Consider the following problem: A farmer with 950 ft of fencing wants to enclose a rectangular area ...

A: Assume that the length of the rectangular area be x ft and the width be y ft. Therefore, the area of...

Q: The Reed-Frost model for the spread of an epidemic predicts that the number I of newly infected peop...

A: Consider the given model, I=S1-e-rx it is given that x=17, r=0.1 and S=200

Q: use the half-angle identities to find the desired function values. if sec x =-3 and cot x &lt; 0, fi...

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Q: Which formula is not equivalent to the other two? Σ -1)k-1 k- 1 (-1)* b. E k + 1 (-1)* Σ k=-k + 2 а....

A: Consider the formula a, ∑k=24-1k-1k-1 expand and simplify the formula as follows, ∑k=02-1kk+1=-100+1...

Q: A person standing close to the edge on top of a 32-foot building throws a ball vertically upward. Th...

A: Given: A person standing close to the edge on top of a 32-foot building throws a ball vertically upw...

Q: Verify whether the function f(z) = e^x (cos y + isin y) satisfies Cauchy-Riemann equations or not.

A: We know that cauchy-Riemann equations  ux = vy  and uy = -vx Here  u = excosy and v = exsiny

Q: By the way it says cylinder underneath the number 13.

A: A = 2πr² + 2πrhV = πr²h Then ,  dA = (4πr + 2πh) dr + 2πr dh dV = 0 = 2πrh dr + πr² dh ⇒ dr = -r/(2h...

Q: Evaluate the integral. 37/2 8|sin x| dx

A: The given integral is ∫03pi2 8sinxdx. The function sinx is positive in the first quadrant and negati...