IV. Suppose z is a function of r and y, and tan Vy² + x² = z*e®y. Solve for dz dz and

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Q: 14. Write an expression that gives the area under the curve as a limit. Use right endpoints. Curve:…

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Q: e*(1-e*) (1+ x)[ In(1–x)] 12. lim, 0 'x0

A: Recall: If we have 00 form then we apply L'Hospital Rule.i.e, limx→a f(x)g(x)  = limx→a f'(x)g'(x)

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Q: 9. Find f x • e*dx as a power series. (You can use e* = E=o 100

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Q: Find the radius of convergenee and interval of convergence for the following. (x – 2)" 2 2" (2n)!…

A: The given series,       ∑n=1∞x-2n2n2n!

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A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: What is the exact value of csc(– 1305°)? V3 A B D 2.

A: using csc(-x)=-csc(x) and  csc(360n+x)=csc(x)

Q: 4 p² sinø dpdødo

A: To find the volume.

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A: Here we have to choose the corect option.

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

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Q: lim X→1 X-1 In x)

A: The given limit,      limx→1xx-1-xln x

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Q: Area under the curve x + y = 3 and the coordinate axis

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Q: Find the value of y (0.4) if y' + 0.2y = 0, y(0) = 5. Solve analytically.

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Q: Inx Evaluate the integral (show clear work!): S dx

A: SOLUTION-

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Q: 10) (-1

A: lets we take example 9 and 10   9 (-2) -3/2 here in 3/2 so we have to also make 2 in whole term…

Q: a. You are about to eat a slice of pizza and decide to do a little PreCalculus first. The entire…

A: Let's find volume of slice of pizza.

Q: dx cot 2x cos 2x 4,

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Q: Using the method of LaPlace Transform, solve the following IVPs a.) y" + 8y' + 25y = 13e-2t…

A: As per bartleby guidelines we only give first question answers because questions are lengthy.

Q: Find the average value of æ on the interval 0, 4| O 16 O 64

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Q: 3. General solution of x dy = (2xe* – y + 6x²) dx

A: The given differential equation,     x dy=2xex-y+6x2dx

Q: 9. State whether each of the following functions is convex, concave, or neither. (a) fo -e (b) f) -e…

A: Note- as per our guidelines we have to answer only first three parts if multiple parts are posted in…

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: dz Determine whether the integral converge (and evaluate to what it converged) or diverge: Jo 5-z A.…

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Q: V1-x² 1–x2 dy dx -1 . J-V1-x²

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Q: Describe the transformations of the graph of y=vx to obtain the graphs of the following functions.…

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Q: 16. For the function g(x) = x² + x – 1, find and simplify: 9*+h)-g(x) h

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Q: Solve fo x: 3csc(x) + 2=0

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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

A: We have to find the integral.

Q: Evaluate the integral: 1. - 1 (1- 5x + x³ – 2x5 5х + x3 — 2x5 dx x2 2. S(y³ – 3,/y+ Vy) dy

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Q: 1 -2 Inx x-1 11. lim,» x→1

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Q: Converting 1530 degrees to radians will correspond to which value? 19n 3 201 B 3 29Tt

A: The value of θ° to radians is given by        ∅ = θ×π180  radians

Q: Find f/(x). If f(x) = tan-1x? .2 %3!

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Q: 9. The general solution of y" + y = cos? x

A: Given :   y"+y=cos2x

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: B. Directions: Compute the definite integral of the following functions using the Substitution Rule.…

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Q: 1 = dx x + Vx

A: We have to evaluate the integral.

Q: Verify that the given functions are linearly independent by evaluating the Wronskian at x = 0. {e2a…

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Q: Evaluate the definite integral. es dx x/ln x v 5 6568542194924

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Q: Find the second derivative of the function. f(x) = 7x3/2 f "(x) =

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A: Velocity is obtained by differentiating S

Q: (26) Let f(x) = x?e=*. For what value(s) of r does f(x) have a horizontal tangent?

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