Find the composite functions (f. g) and (g°f). What is the domain of each composite function? domain of domain of f(x) = xº g(x)=√x (fog)(x) = (fog)(x) (gof)(x) = (gof)(x) 3000 Are the two composite functions equal?

Q: Find the domain and the range of the function. (Enter your answers using Interval notation.) h(x) =…

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Q: cook Use the power series f(x) = In (1-x) = - Σ for -15 x <1, to find the power series…

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Q: 1 if x > 0 x²-1 if x ≤0 g(x)=x-1

A: Given the function, gx=1x-1if x&gt;0x2-1if x≤0

Q: Match the differential equations and the description/s that is/ are true to the differential…

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Q: 23. Express each of the following as a logarithm. Use a calculator to evaluate your answer correct…

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Q: Verify the identity. sin(x) + cos(x) = sin(x) cos(x) sec(x) + csc(x) sin(x) + cos(x) sec(x) + csc(x)…

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Q: Write an equation for the function graphed below. The y intercept is at (0,-0.2) -7 -6 -5 -4 -p 2 y…

A: To find the equation for the function.

Q: Find the distance from the point A to the line through points B and C. Then show that the triangle…

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Q: Find all values of x and y such that Px(x,y) = 0 and P Py(x,y)=0 simultaneously. P(x,y) = 5x² -…

A: Topic = Algebra

Q: Find the gradient of the function at the given point. g(x, y) = 12xe/x, (12, 0) Vg(12, 0) =

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Q: Estimate the area under the graph of f(x) = approximating rectangles and right endpoints. R₁ = 1 x²…

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

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

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Q: Question 28 to determine the instantaneous rate of change of 3, to the nearest tenth.…

A: Explanation of the answer is as follows

Q: It is estimated that between the hours of noon and 7:00 PM, the speed of a highway traffic flowing…

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Q: (a) Determine whether the series (b) Determine whether the series ∞ n=1 ∞ n=1 n+1 n³ +3 is…

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Q: Match the differential equations and the description/s that is/ are true to the differential…

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Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

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Q: Use the graph off to find the largest open interval on which f is increasing, and the largest open…

A: On observing curve we will find the interval.

Q: Consider the differential equation x²y" - 6xy' +10y = 0; x², x5, (0, ∞). Verify that the given…

A: We need to find general solution.

Q: The figure shows the temperature values (in °F) on a typical May day in a certain Midwestern city. t…

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Q: Determine whether or not F is a conservative vector field. F(x, y) = (my + ²)i + (mx + 7);

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Q: There is a line through the origin that divides the region bounded by the parabola y = 6x x-axis…

A: We will find the slope

Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

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Q: 3. The Downhill Ski Club is organizing a ski trip. Group tickets for the ski trip are priced at $20…

A: Given Price of ticket for first 100 skiers = $20 Discount in the price of ticket for skiers over 100…

Q: 2 2 6 8

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Q: Match the following iterns for the integral of (12) Using partial fractions, the above integral has…

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Q: Use implicit differentiation to find dv/dL.

A: We will use concepts of differentiation in this.

Q: Find the domain of the function. (Enter your answer using interval notation.) F(x)=√x + √7-x

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Select the correct answer. y = 6x4 - 8x² + 5x 4 y = 5x² - 6x² + 8x + 3 y = 6x²³ - 8x² +5 Oy=x²-8x²³…

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Q: (a) Determine whether the series n=1 n+1 n³ +3 is convergent or divergent.

A: Solution: ∑n=1∞n+1n3+3

Q: 5. 6. Je*cos2x dx dx 3 (x+2)4 -(x + 2)2 S-

A: I have stated the used formulas in the solution

Q: 14) At what point on the graph of f(x) = instantaneous rate of change? a. x=8, x=2 b. x = 4 2009-2…

A: Given fx=x-8x-2x-4

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: Find the area of the region bounded by the graphs of the given equations. y = 6x-x², y = - 2x The…

A: The given curves are: y=6x-x2, y=-2x   Now find the point of intersection between the given curves.…

Q: O O O O O IfE is the solid hemisphere a² + y² +2²5 49 and y 20, set up the integral using spherical…

A: Solution: In converting to spherical coordinates, we use so that

Q: 1. Set up the formulation to find the surface generated when the curve y = x² is revolved about the…

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Q: The profit from the supply of a certain commodity is modeled as P(q) = 30 + 50 In(q) thousand…

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Q: Solve the given differential equation. x²y" + 13xy' + 36y = 0 y(x) = ,X>0

A: The given differential equation is;  x2y''+13xy'+36y=0.

Q: To integrate by u-substitution, which part of the integrand should you choose as u? S cos de sin² x…

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Q: lim X+0 2-√ 4-X² x ²

A: We can find the answer by finding the limit as below.

Q: b) Let f(x) = ¹. Find f'(x), ƒ"(x), ƒ"(x) and ƒ(4) (x). Deduce f(n)(x).

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Q: 3 Solve the following ODES by Inverse Operator method. 2X (D²³ +1) y = 3+* +52x ● X/2 Ans: y=c₁e³+…

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Q: A circle starts out with a radius of 1cm. (at time t = 0) and begins growing. The area of the circle…

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Q: pls

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Q: 1. Let r(0) = 2sin(0) + cos(Ⓒ) be the polar definition of a planar curve. Find, in standard x-y…

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Q: Find the radius of convergence and interval of convergence of the series n=1 (x - 5)n n5n

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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