1. Find a parametric representation of the solution set to the linear equation 12x1 +24x2 - 36x3 = 12

Q: This doesnt make senser and the answer is wrong

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Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 200e-x² - 3y² - 9z² where T is…

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Q: 14) lim tan 0-0 - cos 0 0

A: Given We have to find the limit.

Q: Consider the following function. f(x) = (x - 2)², x ≥ 2 Find the inverse function f-1. f-¹(x) =…

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Q: Determine the convergence/divergence/absolute convergence of the series 1 n (Inn)³/4* ∞ Σ(-1)" n=2

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Q: Find values of x, if any, at which the given function is not continuous. (a) f(x) (b) f(x) = |x³ -…

A: Find the x values where the function is not continuous.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: Given

Q: Evaluate the integral. 2 [₁²x² X 2 X + 4x + 20 dx

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Q: Evaluate the following limit: lim_x(ln(4x))² = x→0+ M

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Q: Find all the zeros of the function. (Enter your answers as a comma-separated list.) h(x) = x + 6x³ +…

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Q: 3. Graph the following equations. State the slope. a. x = 2 EAP EAT 306418 b. y = - 1 CAP Eduation…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Find the area of the region under the given curve from 1 to 2. 3 + 4x y x³

A: To find the area under the curve from 1 to 2, you can set up and evaluate the definite integral of…

Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

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Q: The Cartesian coordinates of a point are given. (a) (-6, 6) (1) Find polar coordinates (r, 0) of the…

A: We convert the following Cartesian coordinates into polar coordinates (a) (-6,6)(b) (4,4√3)

Q: f(x, y) = y² - 6xy + 10x² Which points lie on: f(x,y) = 5? (1,1), (1,5), (2,9)

A: In this question, we will check which points lie on f(x,y)= 5.

Q: 21. you у не я хит Ux

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Q: Find y'' y = xcos (5x) − sin2x

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: Given,

Q: Find the arc length corresponding to the given angle (in degrees) on a circle of radius 3.9. An…

A: given, radius= 3.9.given angle= 37 degreesformula for arc length is L=where  is angle in degrees and…

Q: Find the slope of tangent for the following (Approximate answers to 3 decimal places) 1. y = 4x+1…

A: The given equation is

Q: Question 1 If g(x) = sin(x) then g'(x) = g'(5) =

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Q: Find all the zeros of the function. (Enter your answers as a comma-separated list.) f(x) = x² + 25x²…

A: The given function is

Q: 30. An ant is at corner A of a shoebox that is 9 inches long. 5 inches wide, and 3 inches high. What…

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Q: Find the derivative of the function. f(t) = arccsc(-8t²) f'(t) = =

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Q: Evaluate the integral. So (sint)i + + jdt © 2(x + 1)] - 2ª − ln (x + 1)] -21--- +1 21+ln(x+1) j

A: The given integral is [(sint) i + 1 /(t+ 1 )j], limit from 0 to pi.

Q: Use the points A, B, C, D, and E in the graph to the right to answer the following questions. a. At…

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Q: The volume of a right circular cone of radius x and height y is given by V = when x = 6 and y = 11.…

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Q: Find the exact values of sin ø 17 - 9) sec 8= 15 and sin 0 <0

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Q: (13) 13) lim x-0 3x - sin(kx) X " k # 0

A: Given Expression for the limit

Q: Find dx by implicit differentiation. e* cos(y) = x + y

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Q: Use the ratio test to find the range of values of x such that convergent. xn n+1 n=0 is absolutely

A: given series

Q: Evaluate the integral. 6² X-8 x² - 7x + 10 dx

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Q: Find all the second-order partial derivatives of the following function. w = 2yex² -8y 27-0 dx²

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Q: Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile…

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Q: y co y = f(x) AH 8 16 24 32 8 0 co Evaluate each integral by interpreting it in terms of areas. X

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Q: (a) (b) x5 + 64 (+² x)(x4 + 16x² + 64) B A X + x² x² + x - 42 + A B + x-6 x+7 Cx + D 2 x² +8 + Ex +…

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Q: Consider the following function. f(x) = X = (a) Find the critical numbers of f. (Enter your answers…

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Q: Find the Taylor Series for f(x) = ln(3 + 4r) about x = 0.

A: find the Taylor series of function

Q: The partial fraction decomposition of f(x) = g(x) = 80 x² 4 can be written in the form of f(x) 2 X-…

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Q: Obtain the general solution to the equation. (x² + 4) d x + xy = x, y(0) = 5 The general solution is…

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Q: The partial fraction decomposition of g(x) x²+4' f(x) x + 3 + where 14x + 3 x³ + 3x² + 4x + 12 can…

A: Partial fraction decomposition of 14x+3x3+3x2+4x+12

Q: 2. Let h'(2) = 8, h' (2) = 5, h(2) = 3, h″(4) = −—1,h'(4) 4 ª[₂x x.h"(x) dx. 3, h(4) 6. Find = =

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Q: Consider the following. x³ 6-X y = y = 0 X = 5 (a) Use a graphing utility to graph the region…

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Q: Find the length of an arc on a circle of radius 9 corresponding to an angle of 135º. Arc length=…

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Q: Refer to the right triangle in the figure. Click on the picture to see it more clearly. If, BC = 3…

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Q: Directions: Show all work in a neat and organized manner and use equal signs appropriately. Clearly…

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Q: d all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

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Q: Consider the following function. g(x) = 2x³ - 9x Find the first and second derivatives of the…

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Q: Find an equation of the tangent plane to the given surface at the specified point. = ²²-², (1, -1,…

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Q: Find the volume generated by revolving the area 1 , x = 5,x= 6, and y = 0 about the y-axis. bounded…

A: The region is bounded by:The curve - The lines - The region has to be rotated about y-axis.This can…