32. Tell if the following infinite series converges or divergesE,)", 8n2

Q: Find all values of x and y such that f(x, y) = 0 and f(x, y) = 0 simultaneously. f(x, y) = x² + 4xy ...

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Q: Find the price that will maximize profit for the demand and cost functions, where p is the price, x ...

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Q: Find the monthly payment needed to amortize a typical $130,000 mortgage loan amortized over 30 years...

A: P =$130000 n = 30 year = 12*30 = 360 month r = 5.7% = 5.7/12 =0.475 % monthly   monthly payment = Pr...

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 16j as ...

A: Given,            The adjacent sides are i+j and i-16j.To find : Find the lengths of the diagonals o...

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: B - Find the equation of the curve whose slope at any point p(x.y) is m = x(x+5)², and passing throu...

A: slope m at (2,1)  m = 2(2+5)2 m = 2*49 m = 98 so line equation y - y0 = m(x - x0 ) y -1 = 98(x - 2) ...

Q: Find the number of units x that produces a maximum revenue R. R = 204x2 − 0.08x3

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Q: 5. Which of the has a domain of (-0, +o)? a. f(x) =x b. f(x) = x? c. fx) =x d. f(x) =x* 6. Given the...

A: Use the basic property of function and composition of function. 

Q: (2х + Зу — 5)dx + (3x — у — 2)dy — 0

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Q: Evaluate the following integral. | e2* cos3x dx

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Q: Q3/B/ Find the value of unknown in the following 1 -2 7 9 5 6 ? 3 ? -2 7 1 6 1 -2 7 +4 ? 1 - 5 6 -3 ...

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Q: Note: Values of x should be typed in INCREASING order from LEFT to RIGHT. DO NOT include spaces in b...

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

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Q: H.W: Estimate the root of the equation for the following equation using Secant Method: 1. x -5x 3 Xo...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: x2sinx Q4 : Find dy /dx Y = (1+x2)2V1+x

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Q: : Give the following formulas ① Volume and surface area of a sphere (diameter = a)

A: We know volume and surface area of a sphere

Q: Find the points on the graph of f(x, y) = (x + 1)y at which the tangent plane is horizontal. The poi...

A: Topic:- geometry

Q: 11. Evaluate the lim a. +00 b. -00 C. d. Indeterminate

A: Given:        limx→0-1x4       =limx→0-1x4

Q: 15. S (9z + 15z* – 8z° +2 + 4) dz 9.

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Q: Answer the following questions about the function whose derivative is f'(x)= (x+3) e 2x a. What are ...

A: Let us consider a function f(x). A point x=a is said to be a critical point of f(x) iff f'(a)=0 f(x)...

Q: 1. Use the e - d definition of the limit to show the following: (a) lim(5x – 2) = 3 エ→1 (b) lim Vr =...

A: The objective is to use definition of limit to prove the above question.

Q: (2) Find the value of B (,-)

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Q: xf (x² )dx if / f(x)dx = 9. Find Enter the exact answer. %3D

A: Given query is to find the value of the integral.

Q: 1: Find the area of the region bounded by the graphs of x = y², y = x + 3, y = -3 and y = 2.

A: The region is bounded by x=y2, y=x+3, y=-3 and y=2

Q: Lim 9. x + 4

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Q: A power line is to be constructed from a power station at point A to an island at point C, which is ...

A: We have to find the distance SA.

Q: Given the function f(z) = – 4+ 6z“, calculate the following values: %3D f(a) = %3D f(a + h) = %3D f(...

A: Use function value for finding the expression.

Q: 45-54. First Derivative Test a. Locate the critical points of f. b. Use the First Derivative Test to...

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Q: A retail outlet for calculators sells 720 calculators per year. It costs $2 to store one calculator ...

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Q: Write an equation for the polynomial graphed below -5 -4 -3 -2- -3+ -4 -5+ y(x) = %3D

A: We see that the curve passing through the points 1, 4, -4.  

Q: Consider the following. f(x, y) = 2x – 4y (a) Find f(10, 3) and f(10.1, 3.05) and calculate Az. f(10...

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Q: Write an equation for the function graphed below. The y intercept is at (0,-0.2) -7 -6 5 y = Questio...

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Q: 1 dx (25 – x2)3/2 - Show My Work (Required) ?

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Q: - Evaluate the following integral. | e2* cos3x dx

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Q: 2+x, x<2 16-x, x22 21. Determine whether the function g(x) is continuous at x-2. a Continuous b. Dis...

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Q: Consider the points A(1, –1, 2), B(2, –3,0), C(-1, –2,0), and D(2, 1, –1). (a) Find the volume of th...

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Q: 28. 5 29. (x + 1)(x – 1) 30. 을 (x-1)5

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Q: The slope of the tangent line to the curve y 2x at the point (- 5, - 250) is: The equation of this t...

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Q: B - Find the equation of the curve whose slope at any point p(x.y) is m = x(x+5)² , and passing thro...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 6j + 9k and the vector component of v ort...

A: We know that, vector component of v on b is v.bb2.b Therefore , vector component of v on b is =(2i^-...

Q: Evaluate the given integrals. 2. S sin?x sin 2x dx

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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: The position vector r describes the path of an object moving in space. Position Vector Time r(t) = 3...

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Q: Evaluate the definite integral. 9. 1 dx 25 + (x + 4)2

A: We have to integrate

Q: 10 Which of the following is the derivative of g (x) = x2 -10 g (a) = x3 O g (2) = -10 d (x) -10 O g...

A: Question is solved.

Q: Use the given acceleration function and initial conditions to find the velocity vector v(t), and pos...

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Q: For a given number n, to create a mask for trailing zeros, we can use the expression: (n & – n) – 1

A: For a given number n, to create a mask for trailing zeros, we can use the expression: (n &amp; - n) ...

Q: x2sinx Find dy /dx %3D (1+x2)2V1+x

A: Given: y=x2sinx1+x221+x   We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x The...