Which series converge in the interval described by |x| < 1? 1. 1+x+x^2+... 2. x+x^3 + x^5+... a. I only b. II only c. None d. I and II

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

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Q: Q3) Evaluate triple integral , dz dx dy.

A: We can calculate this as follows:

Q: Silerch the graph of the . given polarequations

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Q: in hrit insider= 14cos6 out side re1-asG Find area insider= 4G5G out side ret-sG in hrat quarter -

A: The area inside r=1+cos θ and outside r=1-cos θ is:

Q: Evaluate lim オ-5 x(x + 1). オ→0*

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Q: tan²x dx, can be evaluated by using trigonometric transformation . A True False

A: The given integral is: I=∫sec5xtan2xdx Use the derivarive: ddx(secx)=tan2x

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: We have to slove differentiable function above question

Q: (-1)"x2" (2n)! COS X = for all x € R. n=0 1. Let f(x) = cos(Vx). Determine the power series…

A: I have solved all three questions.  Hope this will help. Please upvote ?

Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

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Q: What is the shortest distance from the point (4,0, 5) to the sphere (x – 1)2 + (y + 2)2 + z² = 36?…

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Q: Find dy for the following functions (メ+リ)+(メーツ)ニxャガ 4.

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Q: Consider Evaluate ( 3x² + 6x ) e *+2) (6x2+ 3x) e +y2) (6x+9x)e+y2) O (9x4+6x) e *+y2)

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Q: -бх + 9 3. V6x – x² хр

A: We have to find the given integral.

Q: Identify if the following series is convergent or divergent: 00 (-1)"3n² 4n2–1 n=1

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Q: From Rogawski ET 2e section 10.3, exercise 3. Use the Integral Test to determine whether the…

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Q: Use the limit definition to compute the derivative of the function f(x) = Vx + 2 at x = 1. (Use…

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Q: Determine if the improper integral el/x dx x2 converges or diverges. If it converges, find its…

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Q: determine if the series diverges or converges

A: This question can be solved using the concept of convergence and divergence.

Q: Find the Area bounded by the curves y² = x and x = 2y – y². %3D

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Q: Find the surface area of the cone z = x² + y2 that lies between the plane y = x and the cylinder y =…

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Q: Sx³e** dx

A: To evaluate: ∫x3e4x dx

Q: Question For the function given below, which statements concerning Rolle's theorem are true? —3х - 1…

A: This question is related to Rolle's theorem, we will solve it using given information.

Q: Sketch the graph of the given polar equations. 57 17. 0 = 6. %3D

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Q: Let a = ci + jand b = 7i + 49j. Find c so that a and b are orthogonal. C = i

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Q: 1. The derivative of the sum or difference of two differentiable functions is to the sum or…

A: The solution is given in the next step.

Q: For the functionf(x) given below, where x > 0, evaluate lim f(x). X00 f(x) = In(3x' – 3) – In(4x² +…

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Q: 1 sin? (0)d0 2

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Q: Evaluate the definite integrals

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Q: 2n br 3n

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Q: Approximate the critical numbers of the function shown in the graph. Determine whether the function…

A: Explained below

Q: Evaluate the following integral using Trigonometric Substitutions Method: dx y = 9x² + 16

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Q: Question Approximate the local minimum value of the function given below. Use Newton's method with…

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Q: 1. S(5x4 + 2x – 1)dx

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Q: Q3) Evaluate triple integral , * dz dx dy.

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Q: 4. S cot?x dx

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Q: 4 5x2 Evaluate dx. TV3x2-1

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Q: Twins graduate from college together and start their careers. Twin 1 invests $1500 at the end of…

A: The question is based on the concept of Financial Management.

Q: Let f : [a, b] R be a continuous function on [a, b). Prove that if |f(x)| dx = 0 then f(r) = 0 for…

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Q: dy Which of the following is the general solution of the separable equation, = = 2y - 1? dx in 2y-1|…

A: Solving the problem by finding the differential equation. Here we take C as integral constant.

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 9…

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Q: Find f"(3) if Ax) = X-2.

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Q: V. Let f(x) be a differentiable function such that for all æ > 1, • f(x) > 1, • f'(x) < f(x) and lim…

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Q: 2) Solve the D.E dy + (xy – xy²)dx = 0

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Q: Is this series convergent or divergent?

A: This question can be solved using the concept of root test.

Q: dy Vy+2 sinnx costx dx

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Q: Each of the following limits represents a derivative f'(a). (5 + h) - 125 (a) lim Choose the correct…

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Q: 8. Find f(x) dx if for x < 4 f(x) = for x 2 4

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Q: Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not…

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Q: ...................... Consider the following. 4 f(x) = (a) State the domain of the function, all…

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Q: TOPIC/S: Partial Fraction Decomposition 2x3 — х2 + 2х — 2 dx 2x + 2) х?(x2 — -

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