Inverse functions, Exponentials, and Logs Answer all questions, Show all work. 1) a) Find the inverse of f(x): b) Find f¹(f(x)) and ƒ(ƒ¯¹(x)) x+1 X c) Is the inverse correct? Circle Yes or No

Q: Let f(x) = {5² (52–3, 2x, x > 1, x < 1, Does lim f(x) exist? Why or why not? x 3 1. Yes because you…

A: To determine whether the given limit exists or not

Q: Find the arc length of the following curve on the given interval. R|N JU x = 3 sint - 3t cost, y = 3…

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Q: Find a set of parametric equations for the rectangular equation that satisfies the given condition.…

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Q: Find the differential dy when x = 1 and dx = 0.3 Find the differential dy when x = 1 and dx = 0.6…

A: Given query is to find differential at indicated points.

Q: Evaluate the definite integral D = D = [²1+1/2u² = 2/5u³ du NOTE: Use exact values only. Do not…

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Q: L(t) = (−2,0, 3) +t(2,3,−4), _ne 27x+10y + 21z = 1279. is … -∞<t<∞

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Q: What is the minimal degree Taylor polynomial about x = 0 that you need to calculate sin(1) to 3…

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Q: Find the surface area and the volume of each figure. Give the exact answers and the approximations…

A: Cylinder

Q: find the second parametric derivative of the equation and locate its critical point x(t)= t²-4t,…

A: Given that:   x(t)= t2 - 4t and y(t)= 2t3 - 6t. We find second perametric derivative of this given…

Q: Compute the average value of f(x) = x² + 6x − 2 on the interval [-1,1]. Average value = X

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Q: When p = -3, n = 1 and q =2   Find:    2p2 - 3q..              -3np – pq

A: When p = -3, n = 1 and q =2   Find the value of (2p^2 - 3q) and (-3np-pq)

Q: K Find the area between f(x)=x²-7 and the x-axis from x = 0 and x = 10.

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Q: 12 IF [¹², If f(x) dx = 15, then compute the value of the following definite integral. 6 f(2x) + 4…

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Q: (a) 63°

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: (a) Estimate the area under the graph of the function f(x) = endpoints. Round your answer to four…

A: Let's find area under the curve  by using right and left endpoints.

Q: Use the properties of limits to compute the following limit exactly lim [(x-3)³ (5x+1)²]

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Q: a B What is the value of tan(a)? с b Description of image (in case it has trouble loading): A right…

A: Given that  a right angle triangle with side length. And a= 2 ; b= 3 and c= √13. And we find the…

Q: The marginal cost function associated with producing x widgets is given by C'(x) = -0.6x + 100 where…

A: Given query is to find the cost of producing first 100 unit.

Q: how many triangles b = 19 mine <A = 26° a = 14 T 1 form if :

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Q: Stan²x sec4x dx

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Q: Suppose a boat leaves port, travels 7 kilometers, turns 21°, and then travels another 12 kilometers.…

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Q: Find the area of the surface generated by revolving the curve about each given axis. x = 2t, y = 4t,…

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Q: √9-1² - Compute the following double integral LS sin(x²+y2) dy dx by converting to polar…

A: The given integral: ∫-33∫09-x2sinx2+y2 dydx

Q: Find the displacement of a particle moving in a straight line with velocity v(t) = 30t - 5 m/s over…

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Q: answer

A: We have to write the definite integral  such that represent the area according to the given…

Q: Find an antiderivative of 7 z4–9 z6 27 Antiderivative = in the variable where x > 0. Remember to…

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Q: A ladder leans against the side of a house. The angle of elevation of the laser is 63 degrees when…

A: Let x be the distance of top of ladder from the ground.

Q: 5. Find the volume of the solid form by revolving the region by the r-axis, the y-axis y² and + =…

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Q: Find the equation of the ellipse with foci at (0, ±10) and vertices (± 8, 0)?

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Q: Use the Laws of Exponents to rewrite and simplify each expression. (a) √√5 3/320 (b) 642/3 (c)…

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Q: ďy dx² If xy + 2 = -x then find y at the point (1, -3) in simplest form.

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Q: Calculate ff f(x, y, z) dS For x² + y² =9, 0≤ z≤ 6; ffs f(x, y, z) ds = 97(e-6-1) f(x, y, z) = ez

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Q: Use the divergence theorem to calculate the flux of the vector field F(x, y, z) = 4xyi + 5yzj + 2x…

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Q: Determine the slope of the tangent to the curve y = x^2 - x at the point with x -coordinate 4. Show…

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Q: Solve 7x + 5 = 3x –  11 then  x =

A: we have to slove the above question

Q: A graphing calculator is recommended. Use the graphical method to find all solutions of the system…

A: Given  x29+y218=1 and y=-x2+6x-6

Q: Find the elasticity. 22) q = D(x) = 200 - x 1 A) E(X)= 200-X C) E(x)= x(200 - x) B) E(x)= D) E(X)= X…

A: Given: q=Dx=200-xTo find the elasticity.

Q: y = x² — 24; y = 0; −3 ≤ x ≤ 0

A: To find area of the given bounded region.

Q: Express the number as a ratio of integers. 3.805 3.805805805...

A: Given 3.805¯

Q: on v. dr, where C' is the triangle with vertices (5, 0, 0), (0, 0, 5), and (0, 4, 0), traversed in…

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Q: P3 Find the Maclaurin expansion for the following functions and indicate for which values of a it…

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Q: Find the surface area and volume of the figure below. 7 in 7 in Surface Area = Volume = 7 in Q…

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Q: (a + 2b-3c) (ab+c).

A: let  I=(a+2b-3c)(a-b+c)

Q: Use integration by parts to find the integral. (Use C for the constant of integration.)…

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Q: A) 13 B) 글 2/3

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Q: 3. Evaluate the double integral. 2-1 (coey) dA where D is the regiou bounded by y-0. y -a², and

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: A storage bin has the shape of a cylinder with a conical top. What is the volume of the storage bin…

A: volume of storagr bin is volume of cylindwe +volume of cone volume of cylindwe =πr2hvolume of cone…

Q: 2. Find the area of the region bounded by the curves y = f(x)=x²-3x and y = g(x) = -2² +9

A: we need to find the area bounded by the curves

Q: K Determine the horizontal asymptote of the function. If none exists, state that fact. 2x+3x³-6 5x°…

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Q: 22. Eliminate the parameter from the parametric equations x= -√fy-4t+20sts4

A: To eliminate the parameter to get the Cartesian equation