Find the inverse of the function. f(x)= 9 + sqrt 4x -4

Q: Find the area of the triangles, which the lines form with the coordinate axes: а. 5х-35y %3D15 b. 4x…

A: a) We need to find x and y intercept of the line, Put x=0 in equation 5x-35y=15 Then 5(0)-35y=15…

Q: Use any method to simplify the complex fractloh. k+1 25k 3k - 1 15k

A: Use the fraction rule; abcd=a·db·c   The given expression is: k+125k3k-115k

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

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Q: Find u + v, u – v, and 3u 5v. Then sketch each resultant vector. | u = (-4, 1), v = (3, -5) %3D (a)…

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Q: The volume of a torus (doughnut or bagel) with an inner radius of a and an outer radius of b is V -…

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Q: Find the equation of the line parallel to: a. 13x + 9y + 180 = 0 b. 2х-7у-35%3D 0 x+ 10y-11 0…

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Q: Use the arc length formula to find the length of the curve y = 3x - 5, -2 SxS 3. Check your answer…

A: This question is related to Functions and curves, we will solve it using given information.

Q: dx (x² – 1)²

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Q: Find the arc length of the graph of r(t) = eV2t¡ + e-V2tj+ 2tk, 0<ts V2 In 7 NOTE: Enter the exact…

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Q: d Calculate ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating d dt dt the product directly…

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Q: <press the area of the given surface as an iterated double integral, and then find the surface area.…

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: We have to find the volume by shell method.

Q: Question 7 Use double integration to find the volume of the solid. 3 3x + 2y + 4z = 12 A) 6 B) 9 c)…

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Q: y is a function of  x and the slope of the function is zero at x=10 then to determine that y reaches…

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Q: Evaluate JJ xy dA, where R is the region in (1, 3) (5, 3) R (2, 1) (4, 1) A) 56 В) 67 с) 38 90

A: Explanation of the answer is as follows

Q: Find the exact sülution fur ylz Xtzy

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Q: Find the distance of the centerof gravity of the area on the first quadrant region bounded by the…

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Q: please

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Q: 33. The expression for the horsepower of an engine is P-0.4 n x^2 where n is the number of cylinders…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = Y, (1, 5, 5) %3D…

A: Given problem:- Find an equation of the tangent plane to the surface at the given point.   f(x, y) =…

Q: A spring whose natural length is 14cm exerts a force of 33N when stretched to a length of 19cm. (a)…

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Q: In every sphere of radius r it is true that its volume V is given by V =ar³ , A snowball is melting…

A: volume of snowball (sphere);V=43πr3differentiating w.r.t. time t;dVdt=-4π3(3r2) drdtdVdt=-4πr2…

Q: Find f such that the given conditions are satisfied. 17) f(x) = 5x2 - 7x + 4, f(0) = 2 A) f(x) =x3…

A: Given f'(x)=5x2-7x+4,   f(0)=2To find f:

Q: Evaluate the double integral f(r, 0) dA. -7 cos(0) r dr de 497 2 Sketch the region R. 7/2 A/2 6 2 4…

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Q: Three equally sized corrals are constructed next to a river. if the area to be enclosed is 19600…

A: Use concept of minimizing of fencing

Q: 1. Set up the following improper integrals by definition. sin(x) dx 22 — За — 4 а. xe dx с. 4 et b.…

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Q: In this question, the power series method is to be applied to find the general solution of a…

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Q: Let f: R → R some function that is at least two times derivable , for f we know that f"(-1) = f"(2)…

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Q: 1. F'(x) = 2x ; F(1) = 2 2. F'(x) = 4x +1; F(2) = 6 3. F'(x) = 3x² + 2 ; F(-3) = -32 4. F'(x) = 4x³…

A: Apply integration both side with respect to x

Q: Sand falls from a conveyor belt at a rate of 10 m^3/min and accumulate in a conical pile with the…

A: Use derivative concept

Q: Evaluate the indefinite integral. 8 + x*dx + C

A: topic- indefinite integral

Q: Prove that f : [−4,2] → R defined by f(x) = 7/x+5 is uniformly continuous on the interval [−4, 2]…

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Q: _ア-1 x² - 1' y(2) = 2 dx

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Q: 1-sin8 Evaluate the iterated integrals r2 cose dr de A 1 B) 2 D) 3

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Q: 0, 1, 2, 3, and 4 about x = xo Find the Taylor polynomials of orders n = and then find the nth…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(2) = | : 1 -dt 1 + t5…

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Q: Find the area of the region that is enclosed by the cardiod r = 12 + 12 sin 0.

A: form a integral then solve

Q: 2. Write the Riemann sum to find the area under the graph of the function f(x) = x* from x = 5 tox =…

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Q: The graph of a function y= ) is shown At which point is the following true (Onlytype the letter of…

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Q: Choose the correct word to fill in the blank for the following theorem. "If f(x) is on [a, b), then…

A: To solve the following problem

Q: Find V· (V × F), if F(x, y, z) = 7e*²i+ 6xe"j –- 6e²k. V·(V × F)

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Q: Find the length of the curve of the graph of the indicated function. y = 4x3/2, between points (1,4)…

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Q: Set up (but do not evaluate) an iterated triple integral for the volume of the solid enclosed…

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Q: Find the exact arc length of the curve over the stated interval. 1 1 +y2, from y = 1 to y = 4 x = 4°

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Q: Assume the cubic function f(z) = ar+ b +cz+d, %3D has a relative maximum value of 3 at z =-2 and a…

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Q: In a recent Gallup poll, 1003 randomly selected adults in the United States were asked if they have…

A: This question is related to percentages, we will solve it using given information.

Q: f(x) = In(x4 + 1)

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Q: Using Long (Euclidean) division then decomposition into partial fractions x4 - 4x2 -x- 3 dx x2 - 2x…

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Q: Write an expression for the nth term of the geometric sequence. Then find the indicated term. a, =…

A: topic- geometric sequence

Q: Find the volume V of the described solid S. A right circular cone with height 3h and base radius 4r…

A: Solving the problem by finding the volume of the cone.