3. 2 +7 Зл

Q: Given that f'(x) = cos(x), ƒ'(π/2) = 7 and f(7/2) f'(x) = f(x) = ← ▲ = 4 find:

A: f"x=cosx Integrating both sides ∫f" xdx=∫cosxdx f'x=sinx+c Put x=π2 f'π2=sinπ2+c 7=1+c c=7-1 c=6…

Q: At the indicated point for the function, find the following. (Round your answers to the nearest…

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Q: Find the volume of the parallelepiped defined by: a,, and → = [1, 0, - 4] b→= [8, -7, 9] c→ = [2, 3,…

A: Let three sides of the parallelepiped are denoted by vectors a→ , b→ , c→ then volume of…

Q: = Evaluate the following indefinite integral ƒ x−¹¹/6 dx : +C

A: Given integral is,

Q: Use f(x) = 6tan(x - 2) to answer the questions below. (a) Which of the following is a horizontal…

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Q: Consider the function f(x) whose second derivative is f"(x) = 2x + 2 sin(x). If f(0) = 3 and f'(0) =…

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Q: Evaluate the integral. 4 5y³√7-5y* dy √5y³√7-5y¹ dy= 3 4

A: To find out the integration.

Q: Evaluate the following indefinite integral. 6 fode dt t4 J +C

A: We are required to: Find the value of ∫6t4dt

Q: 3) f(x, y) = -9 sin x-5 cos y at (0, 5 (0,7) A) L(x, y) = 9x - 5y - C) L(x, y) = -9x - 5y - 5 B)…

A: We have to find the linear approximation of the given function.

Q: Connecting the Start Capacitor The spacecraft is nearly ready for takeoff! The last task is to…

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Q: 1. Maple Scented Ambient Candles, Itd., have determined that the average price their large candles…

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Q: Determine the most possible complex zeros of the following function: f(x) = 3x+6x¹4 - 7x15+ 13x

A: f(x)=3x4+6x14-7x15+13x    We have to equal f(x) = 0 for finding zeros

Q: y = cos x, 0 ≤ x ≤ I 4

A: y =cosx

Q: Use Direct Comparison t Σ 1 3n? +2

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Q: Combine the given expression into a single logarithm with coefficient one: ½lnx + ln(x + 1) (x − 1)…

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Q: Suppose that the marginal propensity to consume is dc = 0.9-e -0.5y (in billions of dollars) dy and…

A: given  dCdy=0.9-e-0.5ygiven  consumption is $8.5 billion when income is $0

Q: A particle is moving with acceleration a(t) = 30t+16. its position at time t = 0 is s(0) = 17 and…

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Q: An inverted pyramid is being filled with water at a constant rate of 65 cubic centimeters per…

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Q: g(x) = For the graph of the function(x)=; state each of the following. Show all the steps clearly.…

A: Since you have posted a question with multiple subparts, we will provide the solution only to the…

Q: Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 27). (Enter your…

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Q: Use an Addition or Subtraction Formula to simplify the equation. sin(0) cos(30) + cos(0) sin(30) = 0…

A: (a) Given: The trigonometric equation is, sinθcos3θ+cosθsin3θ=0

Q: ) Based on your answer to #2, how much would your parents have to have saved per month over the past…

A: Here the total tuition fees is 120448. Rate of interest is 7% compounded monthly and total time…

Q: 1-20 Find the most general antiderivative of the function. (Check your answer by differentiation.)…

A: given  f(x)=12+34x2-45x3formula used→(i) ∫xndx=xn+1n+1+c(ii)  d dx(xn)=nxn-1

Q: Evaluate the iterated integral by converting to polar coordinates. 4-x² 2 [[ /0 (x2 + y2)3/2 dy dx…

A: First i have graph the region of integration in the xy_ plane

Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

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Q: Let y = 3√x. Find the change in y, Ay when x = = 5 and Ax = 0.2 0.133 Find the differential dy when…

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

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Q: Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 9.…

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Q: The function f(x) = 2x³ - 33x² +144x - 8 has two critical numbers. The smaller one is x = and the…

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Q: Find the producers' surplus if the supply function for pork bellies is given by the following. 7/2…

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Q: 0 1 2 3 4 where p = 4. Left sum = Right sum = 0 1234

A: p=4

Q: Find the absolute maximum and absolute minimum of the function f (x) = 7x² − 14x + 3 on the interval…

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Q: Calculate the derivative X d 33 £1₁ (54²-1) ¹3 d 5t2 dx dt using Part 2 of the Fundamental Theorem…

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Q: The Spacecraft Password Entering the room, you see the spacecraft. Finally, you will be able to…

A: given derivative is 11cos(x)let a function is f(x)given  f'(x)=11cosx

Q: Evaluate the following indefinite integral. [10da 10 dx +C

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Q: Use series to evaluate the limit. 1 - cos(4x) lim x+01+4x - e

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Q: Let f(x) = 4sin(x) for 0 ≤ x ≤ Find Lf (P) and Uƒ (P) (to the nearest thousandth) for f and the…

A: Functional value in Uf is taken as the greatest value of f(x) in the interval i.  Similarly, in Lf…

Q: Find the indicated second-order partial derivative for f(x,y), shown below. 5 Inx y fyy(x,y) if…

A: given  f(x,y)=5lnxy

Q: Evaluate f(4) for the function f(x)= O 16 32 **-** (9) O 16 O 32

A: f(x) = (1/4)x-2 We have to find the function at x = 4

Q: 6) f(x, y) = 2xy - 7x - 3y 21 2 A) f B) f C) f D) f 3 2'2 2 N/W 3 NN 2 == == NI 3 7 2 = saddle point…

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Q: Find the volume of the Shape around the Y Axix of 2x^3 + 3x between the limits Y = 1 and y = 3

A: We  use the method of cylindrical shells. Firstly,  Writing equation in terms of y,  for x: 2x3+3x=y…

Q: Compute the curl of the following vector field. F = (2x2-3y2,2xy,3z) The curl of F is ()i+j+k

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Q: 2. Make a function discussion of f(x) = − (4x^2 − 8x + 4) / (2x-1) You must find the zero point,…

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Q: Evaluate. (10x³+4x² - 7x+2) dx

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Q: First find f' and then find f. ƒ"(x) = ƒ'(1) = −1, f(1) = -3. f'(x) = f(x) = (5x³ + 9x² + 10x + 5),…

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Q: please do e

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Q: Find dy dx || dy dx x2 2 x2 for y=x | tant d dt 2 dt + (Type ex

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Q: If we apply Rolle's Theorem to the function f(x) = 2x² 20x - 1 on the interval [3, 7], how many…

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Q: Step 4. Add the areas of all n rectangles Sum of Areas of n rectangles n 2 (5+ **) -→ 2 - 2 + + 4 +…

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Q: (1) Evaluate the following integral using the Fundamental Theorem of Calculus. 4 √(3-5a (3 - 5x)√x…

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