Find the derivative of y = cos"+8 (x).

Q: dy Find using implicit differentiation, for the equation æ4 + yt = 7 is dæ O O O

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Q: 2. Solve the measure of the indicated angles using Figure 2. a. mzK = b. mzl = c. m2C = K (7x + 5) %...

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Q: Find the Maclaurin polynomials of orders n= 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyno...

A: To find the Maclaurin polynomials of orders n=0, 1, 2, 3, and 4 and then to find the nth Maclaurin p...

Q: 1.a)Find the area of the surface generated by revolving the curve y=√(121-x^2), −1 ≤ x ≤ 1 about the...

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Q: The functions f and g are continuous and differentiable with f'(x) = g(x). Selected values of the fu...

A: Average value of the function(over an interval):g(x) =1b-a ∫ab g(x) dxg(x)=f'(x)g(x)=1b-a ∫ab f'(x) ...

Q: The regions A, B, C, D, andE in the figure below are bounded by the graph of the function f and the ...

A: Here, ∫-40f(x) dx=∫-4-2f(x) dx+∫-20f(x) dx

Q: Find the integral. 12 dt 4+3 A) (4+t)3/4 + C B. t (4 + t3/4 + C B - (4+t4 c 9(4

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Q: 8. f(x) = 2x + Vx

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Q: What is the area under one crest of the sine curve, from x = O to x = n? y=sin x dx 1/2

A: Given problem:-

Q: Evaluate the integral. /x² – 36 Vx2 – 36 -dx + 6cos + C Vx² – 36 -dx = Vx² – 36 – 6cos- () + C x² – ...

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Q: Determine Whether the series is convergent or divergent. Write the exact tesst that you Use.

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Q: Find the area of the region between the parabola y=64 - x² and the x-axis. Round your answer to thre...

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Q: tan x dx

A: The answer is in step 2.

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

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Q: Find Z, * Z, and Z1/ Z2 Write the answers in rectangular form (a + ib). Зл 2(cos+i sin),Z, = 4(cos +...

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Q: Express your answer in rectangular form both in EXACT value and approximate value. Round off approxi...

A: z = -256 - i2563We need to find 9 roots of 'z'.   -------------------------------------------  

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by par...

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Q: Rewrite the following integral using substitution: sẽ (1 + 3x)?dx

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Q: Find the area of the region between the parabola y = 9 - x² and the x-axis. Round your answer to thr...

A: We can find the area as follows:

Q: A potato is launched vertically upward with an initial velocity of 110 ft/s from 85-foot-tall buildi...

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Q: Read, understand, and solve the given item. Write your solutions on a separate sheet of paper. Sx², ...

A: To find out the continuity of the function at x=0 

Q: Evaluate the Definite Integral sin'y dy - Blank 1 Note, the answers should be three decimal places o...

A: ∫0π3sin3ydyconsider∫sin3ydylet u=cosydifferentiate on both sidesdu=-sinydy  since u=cosy  ⇒u2=cos2y ...

Q: Find an algebraic expression equal to sec (cot- (3x)). (You may assume that- < cot-l (3x) < 5 .) Pro...

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Q: Evaluate the Following Integral sin7 Cos4x

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Q: 2x +7, a 7 conclusion. (i) f(7)= 14 (ii) lim f(x)= 21 (iii) lim f(x)-21 (iv) Justification Answer=

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Q: If the Wronskian W of f and g is t'et, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary const...

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Q: 2х dx dx 1. *) (x - 2)2(x + 2) 3. x(x2 + 1)2 2x? + 1 2. (x – 1)(x – 2)(x – 3) dx | |

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: 1) An equilateral triangular plate with 6m side is submerged vertically in a tank of water so that i...

A: Here, the top surface of the triangle plate is 2m  below the free surface of the water. Therefore, ...

Q: Evaluate thne integr sec3xdx A 3ln sec3x+ tan3x +C In sec3x + tan3x +C C =In sec3x- tan3x + C In sec...

A: Solve the integration

Q: If (5,1) is a point on the graph of y = f(x), which of the following must be on the graph of y= - 2f...

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Q: Find 2- ベ-3 2メ-3 2X+3 X+4

A: Please refer to the image below

Q: sản7y dy - Blank 1 Evaluate the Definite Integral Blank 1 Add your answer

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Q: Sketch two functions F such that F = f. In one case let F(0)=0. And in the other, let F0)=1. 1 f(x) ...

A: F'(x)=f(x)x&gt;1:f(x)=1∫ F'(x) dx = ∫ f(x) dxF(x)=∫1 dxF(x)=x + CF(0)=0+C0=0+CC=0F(x)=x ;   x&gt;1x&...

Q: Use sigma notation to write the Taylor series about x = xo for the function. 9 In x; xo = 1 1 |(-1)*...

A: Take the derivative multiple times and observe the pattern then substitute in the formula for Taylor...

Q: 4か さ n=0

A: To determine whether the given sequence converges or diverges.1+4n4nn=0∞

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 10j as ...

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Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for th...

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Q: Given y = f(u) and u = g(x), find dy dy dy du by using Leibniz's notation for the chain rule: dx dx ...

A: Given y=fu and u=gx, to find dydx by using Leibniz's notation for the chain rule: dydx=dydududx.y=5u...

Q: Let f be a function defined by z = f(x,y) = 3xy² – 4y. Find the approximate change in z when x chang...

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Q: z is jointly proportional to the square of x and the square of y. If z=364 when x=6 and y=5, find z ...

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Q: Given f(x) = 2/ (x + 5) and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x)

A: Given f(x) = 2/ (x + 5) and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x))

Q: Select the basic integration formula you can use to find the indefinite integral. | (9cos(20x))esin(...

A: To select the basic integration formuala you can use to find the indefinite integral.∫9 cos20xesin20...

Q: State the trigonometric substitution you would use to find the indefinite integral. Do not integrate...

A: Here, to evaluate the given integral use the trigonometric substitution. ∫x2(x2-36)32dx

Q: 7. Evaluate S(xcos 3x) dx

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: This is problem of sequence calculation. Based on the general formula and test available we will ans...

Q: Evaluate the tollowing Integral csc “(+w)cot" (+w)d 4

A: Problem is related to integral of the function based on the trigonometric concept. General formula o...

Q: 1. Solve the length of the indicated sides using Figure 1. a. LA= b. AY= c. OT= 2x + 2 3x 5х — 10 L ...

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Q: Evaluate the following integral 5 – 2x (c) dx 2/3x – x²

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Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the x-...

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