Differentiate the given series expansion of f term-by-term to obtain the corresponding series expansion for the derivative of f. If f(x) = 1 1 + 3x ∞ f'(x) = Σ = ∞ n=0 (-1)^3nxn

Q: Find the Riemann sum using R4 over the interval [0, π]. y = x² sin x

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Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: A card is chosen from pack of playing cards. What is the probability that it is either red or a…

A: We have to find probability of given question.

Q: r(x)=x2+5x+4 Find two points on the graph of the parabola other than the vertex and x-intercepts.

A: Solution of given question is written in below steps.

Q: 2. find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P. (0,0,0) in the…

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Q: Use integration to find the area between the functions y = x² and y = 3x + 4. Show your work. -4 YA…

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Q: 1.) S dr 3 f from 0 to ³

A: We have to find out the solutions

Q: (a)[1 Show that the following equation represents a sphere, and find its center and radius. x² + y²…

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Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: Evaluate limx→∞ 3x^2 - x - 2/ 5x^2+4x+1

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Q: Let a = (5, 4, 2) and b = (-1, -2, -3), then 3a 5b (10, 2, -9). = - Select one: O True O False

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Q: Calculate two iterations of Newton's Method to approximate a zero of the function using the given…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 1 A = 1 1 * The Eigen values of the matrix 0 1 1 10 1. 1 10 0,2,-1 O 0,0,1 O 0,2,2 O 0,1,2 O 0-12

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Q: 8. The area of the triangle whose angles are 61 9'32", 34°14'46", and 84°35 42" is 680.60. The…

A: Area of triangle and sine rule are used.

Q: The line L with symmetric equations point P(3,-3, -2). Select one: True False x+3 = = passes through…

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Q: The Taylor series for f(x) = eª at a = -4 is Σ ²n(x + 4)" n n=0 Find the first few coefficients. со…

A: The solution is given below

Q: 4 Suppose that sina and 90° < a < 180°. 5 a Find the exact values of sin and tan 2 गंत 2

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Q: The vectors u = (5, −4, 0) and v = (5, -4,0) and v = (−4, −5, 4) are orthogonal. Select one: O True…

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Q: H.W: replace the following polar equations by equivalent Cartesian equation, then describe or…

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Q: For the function graphed below, find the values of x at which the derivative does not exist. (Enter…

A: Solution : Given that the figure is

Q: 5. f 3√xdx

A: Topic = Integration

Q: Find the equation of the line, in slope-intercept form, that TANGENT to f(x) = 3x² − 10x +1 at x =…

A: Given that fx=3x2-10x+1 at x=3Solution :equation of line in slope intercept…

Q: 4. 4 1 SSx 20 x²ydxdy

A: Topic = Integration

Q: Use any of the results in this section to evaluate the given integral along the indicated closed…

A: Cauchy’s Integral Theorem : If f(z) is an analytic function in a simply-connected region R, then…

Q: then find f(x). | f(x)dx = = ln([x]) In(x) - sec(x) - 4e + 2 -x + 6x + C

A: The integration of f(x) equal to the;  ln(|x|)-sec(x)/3 -4ex/4+x2/2 +6x +C.

Q: Determine the Riemann sum using L4 over the interval [-1,1]. y = 3x² - 2x + 1

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Q: Given this boundary-value problem: d²y y + d0² 4 which has the solution y = 2 sin(0/2), 0, y(0) = 0,…

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Q: For the function z = - 8x³ - 2y² - 2xy, find a z(1,-2), andz(1,-2). dz dz a ax' dy ax

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Q: Graph the function. -4 X for -3 <x< -1 for -1<x< 1 -x²+1 for x ≥ 1 L X O

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

Q: Let C be the curve y = 12 11 10 9 8 7 16 16 5 A m Cy 1.5 x³ 1 + for 0.6 3.7. 3x 4 2,5 3 Find the arc…

A: We are given a curve C : y= x3/4 + 1/(3x)  for 0.6≤x≤3.7. We have to find arc length of C.…

Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

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Q: A manufacturer estimates that the cost of production of x units of a certain item is…

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Q: Consider the double integral f(x,y)=(x²+y²)3/2 over the region R where y is bounded between 0 and…

A: Solution

Q: dx S. √√x

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Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

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Q: Solve the remaining side of the spherical triangle whose given parts are A=B=80° and a=b= 89. A. 158…

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Q: H.W: Evaluate the integral 2. 01 jj(x+y+ -1-1 (x+y+1)dxdy

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Q: For the right triangle below, find the length of x. <-- 34°

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Q: True or False: The definite integral 2 L₁ (x + 36 is equal to Select one: O True False 2 [² (x +…

A: We can answer the question as below using the properties of integration.

Q: Solve the triangle, if possible. a = 26.38 km, b= 21.64 km, c = 18.31 km Select the correct choice…

A: Given problem:- Solve the triangle, if possible.   a = 26.38km , b = 21.64km , c = 18.31km

Q: Find the value پر 2 2x+3+| dx

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Q: Find the Wronskian of the functions f(t) = 6e sin(t) and g(t) = et cos(t). NOTE: Your answer must be…

A: The given functions are;  f(t)=6etsint and g(t)=etcost.

Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

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Q: 2. find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P. (0,0,0) in the…

A: We have a given function g=3e^x cos(yz)

Q: dx 16. S sin Ex di √x u= √√x du= I u 12/12 dx = ५५ -1/2 dx 2 би du YN

A: Solve the integration

Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

A: Given f(x)=4x and x=2

Q: What prevents the transformation (x,y)=(3x, -3y) from being called a dilation? Explain your awnser.

A: Given (x,y)=(3x,-3y) Dilation is a transformation, which is used to resize the object.

Q: 5. r² = 1

A: As per the rules of the company we can answer only first question and rest can be reposted.

Q: Find the value So X (x²+1)= dx

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Q: The national debt of a South American country t years from now is predicted to be D(t) = 70 + 18t4/3…

A: Given that the national debt of a South American country t years from now is predicted to be…