3 - V11 + 4x 2x +1 1. lim

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

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Q: 21 Given the function F(x) = x3 + 2x – 1, find the value F(-2).

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Q: 2" n3 Σ 4"+1 n=1 is convergent or divergent.

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Q: Plane travels for 9.5 hours on two-way trip between location A and B. The Plane can fly at 320 km/h…

A: Plane travels for 9.5 hours on two-way trip between location A and B. The Plane can fly at 320 km/h…

Q: Find the center and the radius of the sphe- x2 +y? +z? + 6x – 4z = 0

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Q: 2. Find the area of: (a) the region bounded by y = x^2, the x-axis and the line x = 2 (b) the region…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A: Given query is to find the antiderivative if the expression.

Q: Given the vectors v and u, answer a. through d. below. v= 6i + 2j- 3k u = 3i + 4j a. Find the dot…

A: We can find the dot product as below.

Q: Question 2 [ a) [ : Explain why the following series (-1)" Σ 1 + n5/2 n=1 is Alternating. b) h. 1:…

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Q: blc (x-) got cancelled out »PW-x(x-1) (x+) 7. For what value(s) of c is f(x) = 4- x°, cr2 + 13 x <…

A: Solving

Q: (d) , 2x Vx2 + 2 dx -5 (e) Si J5-y dy

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Q: potter forms a piece of clay into a cylinder. As she rolls it, the length, L, of the cylinder…

A: Given problem:- A potter forms a piece of clay into a cylinder. As she rolls it, the length, L, of…

Q: Question 12 The domain of the function f(x) : R → R defined by f(x) = V² – 3x + 2 is O (-∞, –3) U…

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

Q: Answer the following True or False. Let f(x)be a decreasing positive function. Then the right…

A: topic - area under curve

Q: For the following function, find its inverse. f(x)= ln(4x−2)(4x−2)   a. f⁻¹(x)= (eˣ - 4)/3 b.…

A: We have to find the inverse function

Q: Let u = 8i + 2j, v=i+j, and w =i-j. Find scalars a and b such that u = av + bw. a = b =

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Q: If T is the point at the given distance on the unit circle C from P (1, 0), determine the quadrant…

A: Here, T is on the unit circle, and its distance from the point P(1,0) is 13π12 that is:

Q: sin 4.r if r>0 3. Suppose f(r) = {0 if r = 0. Find f'(0) using the definition of derivatives. if r<0…

A: This question is related to derivative, we will solve it using given information.

Q: Find two sets of polar coordinates for the point for 0 s0 < 2z. (r, 0) = (smaller r-value) (r, 0) =…

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Q: Find the gradient field F of the function f. 7 8 f(x.y,z) =x°e x +y'z O A. F= (5+8x)x*e *i+7y®j+8z°k…

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Q: -7 -3 A 87 23 Find the eigenvectors of the given matrix: -.1 1 1 i 3 - 15

A: Solution

Q: Find the minimum and maximum of the function y = z° – 6480z on [-8, 8] by comparing values at the…

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Q: Given the function G(x) = 3x2 + 2x -1, find the value G(a + 2). 3a 2 + 14a + 15 3a 2 + 2a + 15 5a +…

A: Given: Gx=3x2+2x-1.We need to find the value of Ga+2.

Q: 10. Find L{cos(3t)}. E. None S 3 C. s² +3 3 В. S s? +3 A. s² +9 +9

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Q: Suppose a(t) = 2 m/s²gives the acceleration of a particle moving along a line in…

A: We have to find the velocity function, displacement and distance.

Q: 3 B. Find the eigenvalues. -. 2,= -1 & 1z= 4 B. A,= 2 & 12= 2 C. A,= 4 & 12= 1 E Nona

A: Topic:- matrix algebra

Q: (x- 2)² , (y-6)² Problem #4: Find the slope of the line tangent to the conic section =1 at 16 25…

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Q: Evaluate the following integrals. Use only the variables "u" (and "v" if applicable) in your…

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Q: S V25 – 4x2

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

Q: Find the area under the curve y 3x3 over the interval 0, 2 > Next Question

A: Solve the following

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: (b) Solve the following first-order ODE xy'y=2x* +2y*

A: Given that ODE                 xy3y' = 2x4 + 2y4 We can write this equation as   y' =2x4+2y4xy3…

Q: If the derivative dx (instead of .) exists at a point and dx = 0, then the tangent line at that…

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Q: -31+2ア-K and ミー-^ -4 +3k in component form. 9ミ-2? +-yk delermine -マ-5+42

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Q: Consider the function f(x) = x2-1 (a) Find the intercepts of the graph of f (if any). (b) Find the…

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Q: Which of the following integrals will yield In u+ C? A. SE B. S- x+1 D. S dx xdx C. S 2rdx = x+1 O…

A: From the following integrals will yield ln u+C Note:     Multiple questions are given, we are answer…

Q: M(x,y)dx + N(x,y)dy is an exact differential when: M N В. M N C. IN M N D. E. None

A: Topic:- differential equations

Q: What are intervals of concavity of the function f(x) = -2x' + 6x² – 3 ? O a. Concave upward on (1,…

A: Given query is to find the the interval where function is concave upward and downward.

Q: the folium (meaning "leaf"). Descartes's scientific colleague Gilles de Roberval called it the…

A: Find your answer below

Q: Find a set of parametric equations for the rectangular equation that satisfies the given condition.…

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Q: Express the vector P, P2 in the form v = v,i+ v2j+ V3k if P, is the point (- 8, - 1,8) and P2 is the…

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Q: Given that f(x) = x ² - 5x + 6, evaluate the function f(x+ h) – f(x). %3D

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Q: For the points P,(4,2,3) and P2(5,1,2), find the direction of P,P2 and the midpoint of line segment…

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Q: p1 Use a straightedge to draw line

A: answer is in next step

Q: The following series is divergent: 7n-2 \" Σ n+5 n =1 Select one: O True O False

A: We can solve this as follows:

Q: Write each of the other trigonometric functions of e in terms of cos(e). (Enter your answers as…

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Q: (d) g(x) = v4 – x²;(-2,2) 2 (e) f(x) = (x + 1)3; [-2,1]

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Q: Express the following sums using sigma notation. c. 12 + 22 + 32 + 4² 4 c. 12 + 22 + 32 + 4? = E k=…

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Q: Consider the function f(x) = : x2. (a) Find the intercepts of the graph of f (if any). (b) Find the…

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Q: For the points P1 (4,2,3) and P2(5,1,2), find the direction of P,P2 and the midpoint of line segment…

A: Given that coordinate of point P1 is (4,2,3) The coordinate of point P2 (5,1,2) We have to found the…