Let g(x) 2-x² x-5 if x < 1 if x = 1 if 1 2

Q: Use the graphs of f and g to answer the following. (a) Identify the domains and ranges of f and g.…

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Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

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Q: The total amount of consumer credit has been increasing steadily in recent years. The following…

A: The given data,YearConsumer…

Q: Given this integral: [x³e+4 dx Determine this indefinite integral What is the best analytical method…

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Q: Exercise 1.18. Find the equation of the plane in R passing through the three points P₁ = (1, 2, -1),…

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Q: Calculate (-3.³√x) dx The solution to any indefinite integral of the type given above will always…

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Q: 5. For the function: x + 3 (x² - 4) f(x) = a) Find the domain. ƒ'(x) = -x² - 6x-4 (x² − 4)² f"(x) =…

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: Consider the function: f(x) Which of the following statements is (are) true? I. lim f(x) = 2 X→2 II.…

A: We say the limit of a function f(x) exists and equal to L(say) at the point x=a when both the left…

Q: Decide whether the series Σ k=1 Use a comparison test to a p series So 1 k8 +9k + 9 1 k8 + 9k + 9…

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Q: Consider the following series. 1 1 1+ + + 49 Does this series converge or diverge? converges O…

A: The given series is

Q: Solve the following equation for x. 91-x=81

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Q: What is the partial fraction decomposition of the following problem: 5x+1 (2x-1)(x+2)²

A: We can find the partial fraction decomposition of given problem by seperating the terms.

Q: 5. For the function: x + 3 (x² - 4) f(x) = f'(x) = -x² - 6x-4 (x² - 4)² f"(x)= 2(x³ + 9x² + 12x +12)…

A: given function and its derivatives

Q: Which of the following first-order differential equations are separable? Select all that apply. r 0…

A: Solution is following in explanation step.

Q: Solve the following equation for x. (5X+5,5) =5 x=0 (Type an integer or a simplified fraction.)

A: given an equation

Q: Z- =x y = 1

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: y=, y=0, x=8 about the x-axis

Q: Select one: 01/√x O O Væde = O = 4 X + C √.c + C 3/α √√√xª O 3√√√√²+c X + C + C C

A: Note:-Since you asked multiple questions, according to our policy we can answer only first the…

Q: Find each indicated quantity if it exists. Let f(x) = x², - 2x, for x> 1 for x < 1 . Complete parts…

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Q: Given the series: Σ [In(2(k+ 1)) - In(2k)] k=4 does this series converge or diverge? O diverges O…

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Q: Calculate the physical area between y = sin(x), x = 2 and x = 5 Area = units² Simplify area to one…

A: We have to find the area between .To find the area under the curve we integrate the function y=sinx…

Q: C(x,y,2) that gives the cost of materials for the closed rectangular box, with dimensions in feet.…

A: given the material for the top and bottom costs $3 per square foot and the material for the sides…

Q: determine the intervals on which the following functions are continuous  f(x)=4x^5-3x^2+1

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Q: Use the graph to determine the x-values at which f is discontinuous. For each x-value, determine…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: we have given curve To Find: area enclosed by these curves.

Q: The point P(6,-3) lies on the curvey - (a) Qis the point (x, (0) 5.9 (1) 5.999 (N) 5.9999 (v) 6.1…

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Q: Let if x 2 (a) Evaluate each of the following, if it exists. (If an answer does not exist, enter…

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Q: find a linear equation whose graph is the straight line with the given properties through (0.5,…

A: To find a linear equation whose graph is the straight line with the given properties: passing…

Q: Use the table to evaluate the limit of f (x). If the limit does not exist, use DNE. f(x) = limx→2…

A: From the table,as x approaches 2 from left side, f(x) = -1

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x…

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Q: 2. Solve the differential equation if y(0) = 0, y' (0) = 0, and y" (0) = 1. y"" + 2y" - y' - 2y =…

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Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A: Point (-7,1)Line x+y=2

Q: 4x+9 (x-1) (x+1) (x+4)

A: we have given integration

Q: Calculus 2 ( 2nd week) (area between curves and integration by u sub) Suppose that Sue runs…

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Q: Differentiate implicitly to find the first partial derivatives of w. x2 +y2 + 2² - 7yw + 6w2 = 9 +22…

A: Given Expression

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) f(x)=x²-16…

A: As per company guidelines for multiple question posted we are allowed to solve only one question at…

Q: main and range for the relation. O Males O Parents of boys O People with brothers S = {(x, y)|x is…

A: We have given relation

Q: Use the graph of the function f shown to estimate the indicated limits and the function value. a.…

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Q: Solve the problem. If f(x) = -8x + 6 and g(x) = -7x² + 8x - 5, find g(f(-3)).

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Q: A hemispherical bowl of radius 9 inches is filled to a depth of h inches, where 0sh≤9. Find the…

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Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for -∞. (a) lim (20x² + 20x³) x→∞…

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Q: An ant is crawling along a straight wire, which we shall call the x axis, from A to B to C to D…

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Q: what is the area of the parallelogram with the vertices : A=(0,0,1) B=(3,2,3) C=(5,3,5), D=(2,1,3)

A: Using cross product of vectors, we can find the area of parallelogram.

Q: 17. Let P denote the path that goes counter-clockwise around the ellipse 4x³+ y³x² 1x² + y² = 1.…

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Q: The height of a triangle is increasing at a rate of 3 [cm/min] and its area at a rate of 3…

A: The height of a triangle is increasing at a rate of 3 cm/min and its area at a rate of 3 cm2/min. To…

Q: A rectangle in quadrant I has a corner at the origin and an opposite corner on the graph of y =…

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Q: 2.) Find the Standard Equation of the parabola, with vertex at the origin and focus at (0, -3)

A: To find the standard equation of the parabola, with vertex at the origin and focus at .

Q: Solve the following equation for x. e²-2x = e15 on 6 of 10 X= (Type an integer or a decimal. Use a…

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