Find the radius of convergence R of the series. Σ 4²(x + 4)" n = 1 R Find the interval of convergence I of the series. (Enter your answer using interval notation.) I:

Q: dw (C): If w = tan x and x = 4t³ + t; Find dt

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Q: There are 2 workers in one of companies, the company has determine the normal work hours by 8 hours…

A: This includes building costs, property taxes, utilities, payroll taxes, benefits, insurance,…

Q: 1. Find the second-order prediction error filter and the prediction error variance for the random…

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Q: Find the instantaneous rate of change for the function at the given value. g(t) = 2-1² at t= -6 The…

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Q: Verify that the function satisfies the three hypotheses of Roll's Theorem on the given interval.…

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Q: S 2 (2x² + 1) dx

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Q: Find the tangent equation to the curve y = sin² x at point x = 3.

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Q: Rewrite the following equation with the variables separated. 3√t + y² dy = 6 dt o y² dy = (6 + 3√t)…

A: Please see the below picture for detailed solution.

Q: If you were to use a substitution of u = 4x³ - 2 to evaluate the definite integral below, what would…

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Q: Determine whether the improper integral diverges or converges. 16 1 √√√x dx converges diverges…

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Q: g(x) dx = (Simplify your answer.) 7 4g(x)dx= 2 (Simplify your answer.) 7 [g(x)-f(x)]dx = (Simplify…

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Q: Use implicit differentiation for x² + y² O x/y O 5x O-x/y O -5x = 25.

A: To find the derivative.

Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of: 1 (1) limx-o[: 1-cos x 2 sin²x (2)…

A: We have to find the limit using L Hospital rule.

Q: Suppose f(x)dx= 2 and f f(x) dx = 1, and f3f(x)dx=-6, what is B. 2 C. 3 D. 4 A.-2 f(x)dx?

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Q: Q2: Solve the following in 7x²+14x+15 (1) f dx ; (x²+3)(x+7)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q1/ Answer the following: A. Find the shortest distance between the point A (3, 10) and the line y =…

A: We can find the shortest distance as below.

Q: 1. A cylindrical tube expands as its radius r and height h increase at the rate of 2 in/min and 4…

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Q: ind the angle between the vectors u=, v=

A: Given that u=1,1, v=-5,3To find :Angle between two vectorsSolution…

Q: Q4: Answer two only: 4 2 (A): If A = 2 l-2 Find AB and AC. 1 -1 01 0; 1 2 B = 2 l-1 3 1 -2 -2 and 2…

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Q: (14 Find the derivative of the function 7 (^ Y = x²+3 15 x²-3

A: Find the derivative of the function  y= [(x2+3)/(x2-3)]5

Q: Rewrite the following equation with the variables separated. tan(y)y' = 4 cos(x) O sin(y) dy = 4 dx…

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Q: Consider the graph of the function f(x) given on the next page, which consists of line segments and…

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Q: If y₁ and y2 are linearly independent solutions of ty" + 4y' + te³y = 0 and if W(y₁, y2)(1) = 4,…

A: Need to find out the Wy1,y24

Q: Find all points where the function is discontinuous. Ox=1 O None O x = -2 Ox= -2, x = 1 →→x

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Q: 1.5 Integrate 10(2x + 1) dx Answer 1

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Q: F(x)= -sqrt(4x+1)-2 This is the value of the function

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Q: 15. Show that the equation, 2³ + e* = 0 has exactly one real root.

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Q: Use the tabulated values off to evaluate the left and right Riemann sums for n = 10 over the…

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Q: The figure to the right shows four regions bounded by the graph of y=x sinx: R₁, R₂, R3, and R4,…

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Q: (b) If G(x) = CV: 1 cos (t¹) dt, compute G'(x).

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Q: at f" si sin rdr = 2, find the average value of the sine function on the interval [0.7]. Also, find…

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Q: Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. b…

A: We need to solve for the remaining angles and sides of the triangle.

Q: find an equation in spherical coordinates for the equation given in rectangular coordinates x^2 +…

A: We have to find spherical coordinates form

Q: Suppose a. ® Г f(x)dx = 36, [ f(x) dx f ' = f(x)dx = 12,

A: The given integral values,    ∫09f(x)dx=36 and ∫79f(x)dx=12

Q: (A): Solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x +2y-z = 4

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Q: Q5: Find for the following functions: TTTTTT³ : (2) y tan³√cot(7x) : = (4) y = x sinh 2x-cosh 2x (3)…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Problem 3. [10 pts] A rectangular box with a square base is being built. The height of the box plus…

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Q: 818 B. Find the horizontal, vertical, and oblique asymptotes of the curve y =

A: In this question, we want to find the vertical, horizontal and oblique asymptote of the given curve.…

Q: (a) lim x² - x + 6 X2 x 2 x² + 2x - 3 x² (b) lim x - 6 x 3 x² - 2x - 3 x - 4 (c) lim x+4√√√x-2

A: a.limx→2x2-x+6x2+2x-3=4-2+64+4-3=85b.limx→3x2-x-6x2-2x-3limx→3x-3x+2x-3x+1limx→3x+2x+1=54

Q: Integrate using the method of trigonometric substitution. Express the final answer in terms of the…

A: In this question we have to Integrate using the method of trigonometric substitution.

Q: find the area of parallelogram A=(0,2,0) B=(2,5,2) C=(3,8,4) D=(1,5,2) round to 2…

A: The given points are A=(0,2,0), B=(2,5,2), C=(3,8,4), D=(1,5,2)

Q: An experiment was conducted to determine the effects of elapsed time on a person's memory. Subjects…

A: We have to find the average percent recall after 1 hour, the expression for the rate of change in…

Q: Calculate the double integral. 7x S₂ x ² + x²0² +y dA, R= [1, 4] x [0, 1]

A: Explained below

Q: dy Q5: Find for the following functions: dx (3) y = et sin²x In√x

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Q: 04: Answer two only: (A): IF A-2 10 1-2 -1 Find AB and AC. 3 and C-0

A: Given :A=420210-2-11B=2312-2-2-121C=31-3026-121

Q: Q5: Find for the following functions: dy dx (1) In(x - y) = xy + y³ ; (2) y = tan³√/cot(7x);

A: To find derivative.

Q: Simplify the following with out 1) -5, 3+1 using the denominator

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Q: Find the component form of the vector u initial point (3,8,8) terminal point (5,6,10)

A: Initial point of u is (3,8,8)terminal point of u is (5,6,10)

Q: (C): It w = tan x and x = 4t³¹ +t: Find d?

A: Given that w=tanx  and x=4t3+t. We have to find dwdt. We can write,  dwdt= dwdxdxdt  [ using chain…

Q: Given f" (x) = 8x − 6, ƒ' (1) = −3, and f(1) = 5 find f(x).

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