14. Find dr/de: r= 0 sin 0 + cos 0 а. cos @ b. 0 cos 0 0 sin 0 C. O a O b

Q: dx Evaluate xV x2 - 4 8 프2프4 O O O

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Q: зах X-Vx

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Q: 1. The graph of a function f is shown. Verify that f satisfies the hypotheses of Rolle's Theorem on ...

A: Rolle's Theorem Let f(x) be a function that is continuous on [a, b]  and differentiable on (a, b). I...

Q: 2 cos(За? + 5) + [62? + 2] (а) lim За2 + 5 0)2

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Q: V9 – x2 Let R be the region bounded by the curves Consider the function f(x) = 3 y = f(x) and y = 0 ...

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Q: Evaluate csc?x cot(cot x) dx. O -In |sin(cot x)| +C O cot(csc?x) + C O - csc?(cot x) + C O In |sin(c...

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Q: complementry function for this DE  12.7y" + 68.58y' + 153y = 0.289(y+1)

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Q: What is the reversed order of integration of dydx ?

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Q: Assume that sin(z) equals its Maclaurin series for all x. Use the Maclaurin series for sin(72) to ev...

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Q: Use l'Hospital's rule to find the limit. HINT [See Example 4.] x + 3 lim ex

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Q: What is the balance after 1 year in an account containing $1000 that earns a yearly nominal interest...

A: This question can be solved using the concept of compound interest.

Q: Part of the piecewise-defined function - (I – 5) +3 if 4< ¤ < 7 f(z) = bif =7 MI if 7< I < 14 is ske...

A: NOTE: Refresh your page if you can't see any equations. . the function is continuous on the interval...

Q: csc S- |cot2즐x)-4cot(를x) +4 Given: Find: u cot -2 O ca) cot 4cot x+4 cot +4

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Q: Find the derivative of the given. f(x)= cos x cot x let g= cos x and h= cot x. Then, g'= -sin x an...

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Q: Evaluate :// F. d5 , where F = and S is the helicoid with vector equation r(u, v) upward orientatio...

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Q: Find the critical numbers of the function f(x) = 2x -15x2 +36x- 24. O a. -2 and -3 O b. 2 and-3 O c....

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Q: Let f and g be functions that satisfy f′​(4)=2 and ​g'(4)=−3. Find h′​(4) for h(x)=3f(x)−g(x)+2.

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Q: A community had an initial population of 6000 people in 1990. (a) First assume that the population ...

A: NOTE: Refresh your page if you can't see any equations. . the population decreased by a constant 100...

Q: MAT

A: Graphical representation:

Q: Determine if the given function is continuous at O. * (x² + 3 f(x) = {3 – 4x (x – 12 x 3

A: This question can be solved using the concept of continuity of a function at a point.

Q: SV5+12x? - 4x4 xdx 2x2 - 3 (2x2 - 3)/5+ 12x? – 4xª + 14Arcsin V14 +C O (2x2 - 3)/5+ 12x² – 4xª + 14I...

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Q: Question 2: Illustrated below are two tangent lines drawn at 2 different points on the curve whose f...

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Q: ADVANCED ENGINEERING MATHEMATICS: Determine if the function satisfy the Cauchy-Riemann equations. Sh...

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Q: 1 dx. 10. Evaluate the improper integral m 64 + z²

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Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x) =...

A: Find your answer below 

Q: Given: x² dx Find: Formula Se"au o fe"du " du 3 o 1 e"du o fa"du aªdu

A: topic - indefinite integral

Q: A vertical wall makes an angle of radian measure ?r with the ground. A ladder of length 20 ft is lea...

A: Let's find. 

Q: 5. The volume of the solid formed by revolving the region bounded by the curve y = Vcosz, I-ax: from...

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Q: The population of a certain state (in thousands) from 1991 (t= 0) to 2001 (t= 10) is modeled by the ...

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Q: The price of crude oil during the period 2000-2010 can be approximated by P(t) = 6t + 18 dollars per...

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Q: ку — 1 x²y 1 dx dy = 0 ху?

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Q: y 4 3 2 -3 -2 -1 2 3 4 5

A: Using simpson rule with n=4 .   

Q: Sketch the region enclosed by y = 4x and y= 6x². Decide whether to integrate with respect to x or y....

A: Given query is to find area under the curve.

Q: EXERCISE 1 In each of the following, find əf. ду df Əf and (j) f(x, y) = ez+by

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Q: Find the area of the shaded region in the given graph.

A: This question can be solved using the concept of area under curve using definite integral.

Q: In3 in2 4-ex xp- xV16-Inx 1 x Vinx In2 iv. Ino.5 e2x +1 1 O 2/22 O8-2/15 O 3 2 OIn 2

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Q: 3. The graph of a function g is shown. 1. (a) Verify that g satisfies the hypotheses of the Mean Val...

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Q: For the cost function, find the marginal cost at the given production level x. State the units of me...

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Q: SV1+ vw_dw

A: ∫1+wdw  

Q: S Зх-5 Xp- (3х- 1)(х - 3) Given: Find: u Ох-3 Зx2- 10х+3 3x2 +3 Зх-1

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Q: 4. If f is a differentiable function of x and y with w = f(x, y), x = r cos 0 and y = r sin 0, show ...

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Q: Evaluate the integral. cot (2x) csc°(2x) dx = + C NOTE: Enter the exact answer.

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Q: 8. Detemine the area of the region enclosed by the curve y = x +4 and y = x+4. %3D

A: The given curves y=x2+4 and y=x+4  

Q: Find dy/dx, using implicit differentiation. e*y – y = 8 Implicit Differentiation: dx Compare your an...

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Q: Express the general solution in terms of Bessel functions: 4x?y" – 4xy/ + (16x² + 3)y = 0

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Q: eat (A cos t + B sin t) + t²

A: Given function is eαtAcost+Bsint+t2find the laplace transform 

Q: The present value of a sum of money is the amount that must be invested now, at a given rate of inte...

A: topic - present value 1year =52 weeks

Q: S10ze +ldr= Select one: O z'e* +l + c O 5e²+1 + c O 4re+1+ c O 6e +1 + c O None of the other choices...

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