(D* – 1) y = 0 O y = cje* + cze* + c3 cos x + c4 sin x O y = cje* + czxe* + C3x? cosx + C4x³ sin x

Q: A box with no top that is twice as long as it is wide has a volume of 36 m3. If x is the width of…

A: A box with no top that is twice as long as it is wide has a volume of 36 m3.

Q: Entered Answer Preview Result 1 1 incorrect The answer above is NOT correct. 1.8 -2 1,0 18 The slope…

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Q: ди ди ди I. Find , and (whenever possible) for the following functions. az дх ду 1) и %3 Зх?у +…

A: Given problem:- 3) u= x/y +2y/z -3z/x  Find ∂u/∂x, ∂u/∂y, ∂u/∂z

Q: equation of the tangent to the curve y = 1+ Int and x = t+ Int when t = 2

A: Topic:- application of derivatives

Q: Find the derivative of the following function F(x) (2t – 1)' dt

A: To find the derivative of the following function.Fx=∫x2x72t-13 dt

Q: Find the derivative of y = sin x³ cos x?

A: As per our  guidelines we are supposed to answer only one question. Kindly repost  others  questions…

Q: Let g(x) = | VI+7i dt. Use the Fundamental Theorem of Calculus to find g' (x). g' (x) =|

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Q: 1. Find the area bounded by the curves y?=2ax, y?=4ax-a? 2. By integration, show that the area of a…

A: To find the area of the region bounded by given curves.

Q: Calculate the following integral e-4 dx by using a substitution O - 0.25e^(-4x) + C O 0.25 e^(-4x) +…

A: Take substitution as -4x = t

Q: Problem 3: Evaluate the integral using the composite Simpson's 1/3 rule with the indicated number of…

A: See this solution in below

Q: 15. Find the width of the lake pictured below: 900 ft 800 ft 70°

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Q: 1 = dx x + Vx

A: We have to evaluate the integral.

Q: find the derivatives of the following with complete solution a. y = sec 2x b. y = sin x -

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Q: The point P(48, –14) is on the terminal side of angle e in standard position. What is the value of…

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Q: 10) у - еx3 In x

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Q: 8. Given the following functions of one variable: (a) f(x) x+ x* + 2 (b) f(x) = (2x + 1) (x- 4)…

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Q: 6. S (10 x - 40) dx x 2 - 8 x + 15 8. S (e 5x - e 2x + 8) dx 2 e 5x 7. S 10 cot 2x dx

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Q: If f(x) is an even function and f(x)dx = 5, find the value of , f(x)dx. %3D O 10 O 5 O cannot be…

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Q: ди and az ди ди Find дх ду (whenever possible) for the following functions. 1) u = 3x²y + xlny² –…

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Q: Find Inz3 -dz

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Q: ind the maximum product of two positive numbers given that the sum of the umber and twice the second…

A: Please refer to the image below

Q: Which of the following statements involving sigma notation is always true? η η η Α) E (ak bR) = E…

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Q: Evaluate the line integral below over the path c(t) = (t², sin(#), e-3t+4) over the interval 0 < t <…

A: We have to evaluate the line integral.

Q: x2 (x+2)³ In Ix + 21 + 4x+6 4x+6 (x+2)= In |x + 2| – (x+2)= +C Option 1 Option 2 ihk+ 21- 4x+6 In lx…

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Q: 3. (a) Calculate sinh (log(5) – log(4)) exactly, i.e. without using a calculator. Answer:

A: Solution is given below:

Q: x² – 2 (x + 2)(x + 1)² 1 + x + 2 x + 2 (x + 1)? x + 1 (x + 1)² Option 1 Option 2 1 1 2 1 x + 2 x +1…

A: The given expression is; x2-2x+2x+12   As we know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And…

Q: 11. Prove that tanh y du = In cosh u + C

A: The integration of the integral is tanhu.

Q: 2. Use second order derivative to derive the acceleration, a for an object that falls where its…

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Q: 4. S cotx csc'x dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 1) и %3D Зх?у + xӀпу? — Inxy

A: 1.

Q: Suppose f(x, y) = x" + y*. Find fa(1, 1), f,(1, 1), and fz (x, y)

A: Given :f(x,y)=xy+yx

Q: The volume generated when the region bounded by y = x , y = 1, x = 0 is rotated about x - axis is…

A:

Q: Find the critical points of the function x -8x2 О 0,2, -2 O 0, 1 О 1,2, 3 this function does not…

A: Solution: Let f(x) = x4 - 8x2 find where f'(x) is equal to zero or undefined  f'(x) = 4x3 - 16x

Q: sfcontucus on the dosed nterval (4, s O wes ONe at dfferentable en the open interval (-4, 5), fnd ).…

A: Topic:- calculus  Note:- as per our guideline if more than three subparts posted than only first…

Q: 8) Find the slope of the curve y = Sin³0 and x = Cos³0 _when 0 =

A: Given y=sin^2(theta), x=cos^3(theta)

Q: x2 22-23. Find the derivative: y = x-11 22x A) (xー11)? B) (x-11)2 x2-22x C) (xー11)? x²+22x D)…

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: Consider the function f (x) = sec (e*). %3D o How many different functions are composed to get f…

A:

Q: Evaluate the integral Se*dx

A: We can solve this as follows:

Q: General solution of x dy = (2xex – y + 6x2) dx %3D

A: The given equation is: x dy=(2xex-y+6x2)dx That can be written as:…

Q: The volume, when the curve y=v(3+ x^2 ) from x = 0 to x = 4 is rotated about x - axis is 100n 100/9…

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Q: lim, -r(csc Tx )(Inx)] -TC

A: The given limit,limx→1-πcscπxln x

Q: Sketch the graph of f(x) = 2x + Vx*.

A: Given that we need to Sketch the grah of  y = 2x1/3 + x4/3  Now,  The graph is as follows

Q: (x² + 2)² Find the dy/dx: Given y =

A: Find the dy/dx

Q: The area between the curves f(x)= x^2,and g(x)=1 1/2 1/4 O 4/3 O 1/3

A:

Q: 2. Evaluate xy(z + 2) dx dy dz

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Q: Given the vectors v and u, answer a. through d. below. v= 10i + 2j – 11k u=7i+24j a. Find the dot…

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Q: 3. Find the area (in sq. units) bounded by the parabolas x²-2y = 0 and x2+2y-8=0.

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Q: II. Consider the function g defined by 1 g(x, y) = cos (Tx Vy) + log3(x – y)" Do as indicated. 1.…

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Q: Compute for the indicated power of the following: (-võ + iv2)*

A: Please refer to the image below