n 5 3 n=0

Q: if the series converges absolutely, converges conditi verges nverges conditionally

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Q: Find the quadratic approximation of f at x = 0. f(x) = In (1 + sin 7x) 49 O A. Q(x) = 1 + 7x + 7x 49...

A:                                                                    

Q: The asymptotes of y = 2sec(8x). 1. x = 15 II. x = " III. x = 16 %3D 8. A. I and II only B. I and III...

A: The given function y=2sec8x Note:    Multiple questions are given, we are answered with only one que...

Q: Consider the given right triangle with legs of length x cm. and y cm. and angle O radians. If x is d...

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Q: Classify the quadric surface. x2 z = y2 16 ellipsoid O elliptic cone elliptic paraboloid O hyperboli...

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Q: (5п/6,2) 15 0.5 (п/12,0) (7п/12,0) (13п/12,0) (19т1/12,0) T/12 5TT / 12 5T /6 5T / 4 5T /3 25т 12 f ...

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Q: EXAMPLE 4 The region R enclosed by the curves y = 3x and y = x is rotated about the x-axis. Find the...

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Q: One model for the way diseases die out when properly treated assumes that the rate at which the numb...

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Q: (b) By applying Newton's second law to a body of mass m at a distance x, we obtain the d?x +9x = -18...

A: Solve the given problem.

Q: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the...

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Q: Find equations of the normal plane and osculating plane of the curve at the given point. x = sin 2t,...

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Q: Determine convergence or divergence of the series. 3/4 2n 00 Σ 7/4 + 6 n=1 5n O Converges O Diverges

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Q: Find the first partial derivatives. g(x, y) = In(x + y 9,(x, v) = 9,(x, v) = %3D

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Q: True or false? Ef Fcx) is an Odd funch on, then. 3. fox) de -3 -20 f(x) doc -3

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Q: Determine p′(x) if p(x)=ln(5x^2+x+6/x^3/5 tan(x)).

A: Given query is to find the derivative of the function.

Q: (9) Graph the position, velocity, and acceleration functions for 0 sts 6. 30 20 10

A: We are asked to find the acceleration and aslo plot the graph

Q: Negation of  For all real numbers x, if x(x-2)>0, then x>2 or x<0

A: Write negation. 

Q: Write a polar equation for the graph below. Enter theta for 0 if needed. -5 4-3 -2 -1 -2 of r(8) =| ...

A: Graph of the circle is given, we have to find its equation in polar coordinate.

Q: Evaluate the integral. 8e 8t dt 8t 2. 1+ e 8t 8 e dt = 8t 1+e

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Q: yA yA y = f(x) y = g(x) 1

A: We have to find out

Q: Scientists have observed that a small colony of penguins on a remote Antarctic Island obeys the popu...

A: We know that, P= P0ert where P is the population at time t. P0 is the initial population. r is the r...

Q: Given || (x² + sin y)dA , where R is the region bounded by x=0, x=2, y=0, and y =x. Sketch the regio...

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Q: dy Find dt y%3Dsec" 5xt 5xt dy dt

A: I have solved first question for second repost again

Q: Do not use a calculator for this problem. Find the x-value where the maximum valu y = sin x for an e...

A: Given, y= sin x -7x² Therefore, y'= d(sin x -7x²)/dx y'= cos x - 14x  

Q: Solve the equation 2x° + x2 – 5x + 2 = 0-

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Q: Find the Taylor polynomials of orders 0, 1, 2, and 3 generated by f at x = a. f(x) = –, a =1 %3! ......

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Q: Let E be the set of all real numbers in [0, 1] whose decimal expansion does not contain a 8. For exa...

A: Answer is mentioned below

Q: 4 When you evaluate the integral (8x- 12) (4x2 – 12x)" dx using u substitution, the integral you mus...

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Q: equation of line normal to f(x) = (x +4)1/2 at Q (0,3) is?

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Q: Evaluate the indefinite integral by using the substitution u =x° +x to reduce the integral to standa...

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Q: Replace the polar equation r= 6 cos 0 +2 sin 0 with an equivalent Cartesian equation. Then identify ...

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Q: . Find the exact value of each definite integral. Do not use decimal approximation. dx V1-x² а. 3 b....

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Q: dy Find -5 y%3D(2+cos4t) dy dt

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Q: Use the linut definition to Compute f(x) when f)-at. the derivative f(x) when f)-2+L

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Q: When you evaluate the integral f (8z – 12) (4x? – 12x)*da using u substitution, the integral you mus...

A: In this question we have to evaluate the Integral using u substitution.

Q: 11. The graph of y =f(x) is given below. Evaluate each integral. f(x) -5 -2 10 11 12 13 I f(x)dx f (...

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Q: Find out whether the series given below converges or diverges. 1 Σ 2 n=3 nyn - 2

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Q: y' + y = e», y(0) = 1.

A: Consider the first order differential equation            dydx +P(x)y= Q(x)               .............

Q: Find the derivative of the function at Po in the direction of A. f(x,y) = 2xy + y, Po(-5,10), A= - 4...

A:  

Q: solve

A: We have to find the following conditions according to the given information

Q: 10) For each system below clossity the and deaw a phase portrait, Stobility ot (8] ינג A- C4 2 a) x'...

A: Here is the solution of the given problem:

Q: Classify the quadric surface. 9x2 + 3y2 − 6z2 = 54

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Q: 0.020 (a) Find the velocity at time t (in ft/s). v(t) = (b) What is the velocity (in ft/s) after 1 s...

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Q: Find the cemplex fourth routs of Z: 2 J3-22

A: Given, z= 2√3-2i Therefore, r= √[(2√3)²+(2)²] r= √(12+4) r= 4 θ= tan-1(-2/2√3) θ= -30°

Q: sin o 2. Evaluate the integral. cos ¢ A. cot? o +c B. tan? +c c. cot? ¢ +c D. tan? o +c

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Q: 2n 27 1+ (b) а, :— n

A: The given sequence,an=1+2πn2n

Q: Calculus Question

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Q: 4. Determine whether the improper integral is convergent or divergent. 00 1 ;dx x(In x)2' A. The imp...

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Q: Use the graph of f(x) in the figure to find the following values or state that they do not exist Fin...

A: Consider