Find the taylor Series of f(x) centered at the given valve of a and the interval on which the expansion is valid f(x)=ex a=-3

Q: By volume, one alloy is %60 copper, %30 zinc, and %10 nickel. A second alloy has percents of %50,…

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Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x - 1) + 2* - x has a critical number…

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Q: 2 sin 3at where a is any positive constant and s > a.

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Q: 2. By definition, the angle of intersection of the two curves is the angle between the two tangent…

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Q: Given the power series 2 (-1)" x" n = 0 Find the Derivative of the Power Series. x (n + 1) d A 2…

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Q: c)Test the series Ln =0 3n+1 for convergence or divergence.(write C or D) Answer:

A: This question can be solved by applying ratio test.

Q: A particle moves in a straight line with velocity 8 – 2t ft/s. Find the total displacement and total…

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Q: Sketch the curve. a) r=-2 sin 0

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Q: Test the series below for convergence using the Root Test. 5 (5n + 4 2n + 1 n=1 The limit of the…

A: This is a problem related to series and sum calculation. Based on the general formula we will answer…

Q: Find the net area and the area of the region bounded by y = 11 cos x and the x-axis between x= - and…

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Q: 15. Suppose you start at the point (0, 0, 3) and move 5 units along the curve x = 3 sin t, y = 4t, z…

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Q: Suppose C is the curve r(t) = (6t,t°), for 0sts2, and F = (3x,3y). Evaluate F•Tds using the…

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Q: SE-D) dx =- 4 In|x| +C 1. A. 4x В. 4* SA dx = 6Vĩ + c S(3Vx + dx = x + 3) + C 2. С. 4 3. D. -dx =…

A: Topic:- derivatives  Note:- as per our guideline if more than one question uploaded than only first…

Q: c)Find the limit of the sequence a, = nsin (-) Answer:

A: Given problem:-. Find the limit of sequence an = nsin(1/n)

Q: 3. Find the equation of the tangent line to the curve y = x2 – 3x + 4 that is perpendicular to the…

A: As per the company's guidelines,  we are supposed to solve first question for you,  kindly repost…

Q: 1 Suppose that L is a location function of an object, given as L(t) We will compute the 3t + 5…

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Q: Solving a differential equation using the Laplace transform, you find Y(s)=L{y} to be…

A: We need to find y(t).

Q: log4(x)-2logx(4)=1

A: log4x-2logx4=1

Q: Find the gradient vector field of f. f(x, y, z) = x cos(8y/ z)

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: Let f(x) = sin(x). Use the formula for the nth coefficient of the Taylor series for f(x) = sin(x)…

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Q: Use polar coordinates to find the volume of the solid region that lies inside the sphere x2 + y2 +…

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Q: Use the General Power Rule to find the derivative of the function. y = 12 3 4x2 + 7 y' =

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Q: Use implicit differentiation to find an equation of the tangent line to the graph of the equation at…

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Q: 1. Find the antiderivative of sin '(2.r)d.r.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Use Green's theorem to evaluate the line integral along the given positively oriented curve. ye* dx…

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Q: Q2. Find the second order partial derivative of F(x.y) = x³+ x°y°- 2y² w.r.t. x at (2,1).

A: Given:        Fx,y=x3+x2y3-2y2  taking first partial derivative with respect to x.…

Q: Determine the area, in square units, of the region bounded above by f(x)=−8x3−3x2+3 and below by…

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Q: We can find the inverse of a matrix by row reduction. Suppose matrix A is given and we wish to find…

A: Explanation of the answer is as follows

Q: The limit of the sequence a, = (-1)"2 is equal to %3D Select one: True O False

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Q: Find Ta Centered at x 2 f(x)=e,a=0

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Q: Find the limit. 300 lim er

A: limx→∞ x300ex

Q: The Mean Value Theorem states that if a function f is continuous on the closed interval [a,b] and…

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Q: Find the minimum amount of tin sheet that can be made into a closed cylinder having a volume of 108…

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Q: Find the derivative of the function. y = 4t   t + 7 y' =

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Q: y^(29) for y=-cos(x)

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Q: 2x 3, Use the limit definition of derivative to show that f(x) is differentiable at x2 – 3, r > 2 x…

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Q: Illustrate the graph: Y x2-3x-4 3. Check whether the function f(x) = is continuous at x = 4. Sketch…

A: NOTE: As per our guidelines, I have solved the first problem in the solution (3rd question). If you…

Q: The average value of the function y = 10 x In(4 x) on the interval [3,7] is О 50.05 O 152.14 O…

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Q: L = - Given the power series 00 (x + 2)" n = 0 2" Find the "Radius of Convergence" for the series.…

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Q: . Value of t such that vectors a=, b=, c= are coplanar.

A: Value of t such that vectors a=<1, 1, 1>, b=<2, -4, 0>, c=<1, t, 3> are coplanar.

Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x - 1) + 2* – x %3D has a critical number…

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Q: 1 1-xl-x²-y? Evaluate the integral S S [dz dx dy 0 0 0

A: We will evaluate the given integral in this question.

Q: Calculate the derivative: d dx * ST (6t3 – 9t) dt = -

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Q: Find the length of the segment of the curve y = f (x) = e ^ x between the abscissa points x = 0 and…

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Q: Assessment Identify whether the following functions are continuous or not. Write your solutions on a…

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Q: Suppose f is a quadratic function that has roots at x=−4 and x=8, and f(0)=16 We will write a…

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Q: hction given as J(E) that IS a Simplify the expression f(x + h). f(r + h) = f(r + h) – f(x) Simplify…

A: Given : f(x)=-2x+1.

Q: A college student borrowed $44,000 to pay for tuition, room, and board. Some of the money was…

A: A college student borrowed $44,000 to pay for tuition, room , and board. Some of the money was…

Q: The rectangular coordinates of a point are given. Plot the point. (9, 0) 15 10 10 -10 -5 10 10 -5 10…

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