If f(x)=x-15 and g(x)=x+2, then (g/f)(x)=x+2/x-15. What is the domain of (g/f)(x) in interval notation?

Q: Q1: Determine the volumew of revolution obtained by rotating the region bounded by y = √√9-x², 3y +…

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Q: f(x,y) = x² + 6xy − 3y² + 2x - 2y + 1433, g(x, y) = sin(x²y + 2x - 5),

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Q: Find the slope and x-intercept of the graph of the equation. 3x-y=9 The slope is (Type an integer or…

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Q: Let f(x)=0.5x²-x-7. Solve each equation graphically to two decimal places. (A) f(x) = 4 (B) f(x) =…

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Q: Q) Using the properties of logarithms, find the derivative of the following function (x²-1) √x + 1 y…

A: By using the properties of logarithms, to find the derivative of the following…

Q: dy a) Show that the equation x² - 13y² 12xy is homogeneous. dx The equation is homogeneous because…

A: We have to solve a part a,b and c.

Q: 3) 3x² + 3x³ - 5x² + x - 1 x²+x-2 dx

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Q: A) u-substitution with u = 7x³ +5 B) u-substitution with u = 3x² u-substitution with u = 3x² dx…

A: Integration

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

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Q: 9. ytan x² a. 2xsec³² 10. y=sin x + 5 cos x a. posx–5sinx b. 5 cosx+sinx b. 2x sec 2 x² c. xsec²x²…

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Q: A. Find the determonant of the matrix A = 142 2 1 -21 -1 -2 -1 4 2 13 2 L-2 1 2 -3-

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Q: Directions: Solve for the derivatives of the following function. Write the letter of the correct…

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Q: Evaluate √16-x² dx

A: ∫16-x2dx

Q: If f(x)=(5x+6)−3

A: Given:  f(x)=(5x+6)−3To Find: f'(x), and f'(3)

Q: 10. lim, [(2)(x²+x-5)] A. -6 B. 0 C. -2 5 D. 4

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Q: Use the trapezoid rule with n = 60 to approximate the sum in addition to providing the…

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Q: 4x 10. Find all vertical asymptotes for the rational function f(x) = x²-144 11. Find all of the…

A: We can solve this as follows:

Q: A. Find the determonant of the matrix A 2 1 -21 -1 -2 -1 4 3 132 2 1 1 2 2-31 ܝܪ ܠܕ ܬ ܨܐ 1

A: To find the determinant of the matrix A=121-2-1-2-142132-212-3.

Q: Find the vertex form of the function. Then find each of the following. (A) Intercepts (B) Vertex (C)…

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Q: Match each of the following with the correct statement. C stands for Convergent, D stands for…

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Q: Evaluate the integrat. Sa dx су-хууг dx

A: Given :∫14-x22dx

Q: Evaluate / fasiner for drdedz Jo

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Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular…

A: This is a problem related to maxima and minima of the function. Based on the general formula and…

Q: The value of θ, where 180º ≤ θ ≤ 360º, in the equation 2cos2θ + cosθ =0 would be? i) θ = 90º, 120º…

A: We want to select the correct option.

Q: lim 4x X f(x) ?

A: Using approximate approach ing toward 1/2

Q: The radius of a circular oil spill after tt minutes is given by r(t)=√9tr(t)=9t. Find the…

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Q: Verify that the indicated function y = p(x) is an explicit solution of the given first-order…

A: This question can be solved using the concept of derivatives.

Q: This doesn't explain why -1 is the right answer over the other options

A: Solution

Q: D-the result of the following 1² lim x-0 In (sec x) anther answer O 1

A: Here we have to evaluate the limx→0x2ln(secx)

Q: Write an equation of the line with the indicated slope and y-intercept Slope = -4 y-intercept = 3 y=

A: slope =m=-4y-intercept =3

Q: of the 3. Find the de AND FINAL ANSWER 1. f(x) = (4x² +8x + 2)² 2. f(x)=(2x +6) f(x)=(3x²+2x+1)³ 3.…

A: Topic = Derivative

Q: Use continuity to evaluate the limit. lim x→5 x   29 − x2

A: We have to determine  limit use continuity

Q: Determine whether the integral is improper. +∞0 (x+3)-1/3 dx -∞0 O Improper O Not improper

A: Topic = Integartion Improper

Q: du + 2) du dx du dy -

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Q: 1.Use taylor series method to get solution to dy =x+2y-xy, y(0) = 1 dx 1) Find taylor expansion (at…

A: Let's solve.

Q: Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours after 12:00 noon…

A: The objective of the question is determine maximum distance.

Q: y' = X y+x²y , y(0) = -2

A: Given differential equation: y'=xy+x2y, y0=-2To Find: solution of the differential equation

Q: Solve the ff initial value problem. 1. y'=4xe2x²cosx - ytan x, where y(0)=1 2. y'=e-2x y², where…

A: To solve the Initial Value Problem:

Q: 1.Jx' dx 2.1-dx X 3.18x²dx

A: Topic = Derivative

Q: 6- find the second order partial derivative's of the function : z = x sin sin (x²y)

A: Here i am providing my handwritten solution

Q: 2. lim x-1 X f(x) x-1 √3 0.9 0.99 0.999 1 ? 1.001 1.01 1.1

A: Given problem:- limx→12x-1-3x-1 Evaluate limit using table

Q: Use the given information to find f '(9). f(x) = 3g(x) + h(x) g(9) = -4 and g'(9) = -1 h(9) = -5 and…

A: Given: fx=3gx+hx.We need to find f'9.

Q: Sketch the graph of a function f that is continuous except for the stated values(s). Discontinuous,…

A: The function is discontinuous at x=3 and right continuous at x=3

Q: 0 Question 5 サ lim f(x) does not exist. ✓ [Select] True False [Select] Find all z-values at which f…

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Q: If acceleration is a(t) = sin(t) and initial velocity is v(0) = 3, what is an integral function that…

A: topic- integration

Q: let X be a random variable with density function given by x si -1≤x≤1 f(x) = ={1 0 en otro caso x…

A: As the given function is triangular function between -1 and 1 , hence, we can use the general…

Q: Q3: Fill in the blanks in the following: A. If u= (1,6,-8) and v=(4,-2, -1) the xu B. The inverse…

A: "According to the guidelines issued by the company we are supposed to answer only first three…

Q: tions: Solve for the derivatives of the following function. Write the letter of the correct answer…

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Q: Suppose s(t) = 3t+ 6 on the interval [1, 4]. What is the displacement on [1, 4]? 06 08 09 O 18

A: topic-displacement

Q: Consider the following curve. f(x) = (x-2)/(x^2) a. Determine the domain of the curve. (Enter your…

A: given f(x)=(x-2)x2a.Determine the domain of the curve.b.find y'and y''