Q5: Find for the following functions: dx (1) In(x - y) = xy + y³; (2)y=tan³ √/cot(7x); cash? -nh. sin² (3)y= Inv

Q: 2: Solve the following integrals: - 7x² +14x+15 (x²+3)(x+7) dx ; 1) S

A: Given: ∫7x2+14x+15x2+3x+7dx

Q: The volume of the solid obtained by rotating the region enclosed by x = 0, y = 1, x = y5 bout the…

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Q: 3. What is the distance between two points (3,-1) and (-2, - 5).

A: Solution:formula: Distance between two points x1,y1 and (x2,y2)                Distance =…

Q: Q2: Solve the following integrals: (1) f 7x²+14x+15 (x²+3)(x+7) dx ; (2) S sin x+cos x sin³ x cos³ x…

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Q: Find an equation of the plane tangent to the following surface at the given points. zexy; (1,0,1)…

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Q: Consider the following situation, which involves two options. Determine which option is less…

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Q: A-Find the intercepts, the symmetry for the polar equation r = cos20 am draw it.

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Q: Write a recursive formula for the geometric sequence an given below. 10,10/3,10/9,10/27,10/81,…

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Q: 1. Integrate: [x³ sin(2x) dx.

A: As per Bartleby guideline, only the first question has been answered. If you want to get the answer…

Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³;

A: We have to find the dydx of the given function.

Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (2) limx-o x-³ (tan-¹x - x)

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Q: Which radical function has a domain of (xe Rx≤3) and range of (y e RIy2-4)? Oy--√x+3-4 Oy--√x+3+4…

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Q: 2. Find the volume of the solid generated when the region between y = sin x and y = 0 for 0 ≤ x ≤ π…

A: The region between y=sin x and y=0 for 0≤x≤π is revolved about the y-axis.

Q: Q5: Find d for the following functions: dx (1) In(x - y) = xy + y³ ; (2) y = tan³ √cot(7x) ;

A: We can solve the answers as below by finding the derivatives.

Q: Apply Descartes' Rule of Signs. Determine the number of possible positive and negative real zeros…

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Q: dw (C): If w = tan x and x = 4t³ + t; Find dt

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Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (1) limx-ol 1-cos x sin²x (2) lim, o…

A: 3 1) limx-0[1/(1-cosx) -2/sin2x ] 2) limx-0 (tan-1x-x) x-3

Q: Approximate the area of the region bounded by the graph of f(t) = cos (t/2/2) and the t-axis on…

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Q: Which of the following describes the graph of h(x) = −3(x − 1)²(x + 1)²(x + 2)? O-12 O -10 -0 -4 -12…

A: see below the answer and explanation

Q: A solid of revolution is formed by revolving about the x- axis the region bounded by the curve y √2x…

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Q: Evaluate the following limit. t sinj+ sin = 1+ k t -k π lim costi-5 1-x

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Q: 31-4 A piecewise function f(x) is defined by f(x)=x²+3x+4 x² -7x+12 Part A: Graph the piecewise…

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Q: 9x¹+x x-100 2x¹45x²-x+6 iv. lim

A: Given limx→∞ 9x4+x2x4+5x2-x+6

Q: Q2: Solve the following integrals: (3) dx

A:

Q: (B): Find the tangent equation to the curve y = sin² x at point x = 7.

A: I have stated the used formulas in the solution

Q: Find the area of the region bounded by the cubic y= (x + 2)(x - 1)(x - 3) and the x-axis. Write your…

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Q: Find the minimum and maximum values of the function on the given interval by comparing values at the…

A: Find critical points by putting derivative of given function equal to zero

Q: A circular swimming pool has a diameter of 16 ft, the sides are 6 ft high, and the depth of the…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) xy - 25 lim (x, y) → (5, 5)…

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Q: Which of the following statements is (are) false? A) A basis is a spanning set that is as large as…

A: Please see the below picture for detailed solution.

Q: The curves y = 2x - x 2 and y = 3x2 - 6x are used to form the boundary of a thin plate of uniform…

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Q: 리 The amount of time in seconds, f, it takes for a bungee jumper to free fall is given by the…

A: The amount of time in seconds, t, it takes for a bungee jumper to freefall is given by the function…

Q: QUESTION 1 Let I = fxe³x. To solve I, we need to apply O Integration by substitution O Integration…

A: The answer is given below.

Q: dr. (4+x²)²

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Q: 인 여 प्रि sin K K K

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Q: Find the cross products uxv and vxu for the the vectors u=2i-j-2k and v= i +3j-2k.

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Q: Find the limit, if it exists. If the limit does not exist, explain why. limx→∞((√x^2+2x) −x) You…

A: Given :limx→∞x2+2x-x

Q: Find the tangent equation to the curve y = sin² x at point x = 3.

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Q: 2. Find the equation of the line tangent to the circle x + y + 6x - 2y - 15 = 0 at the point (1,-2).

A: x2 + y2 + 6x -2y -15 = 0  given we have to find equation of tangent line to circle  for that first…

Q: Q5: Find dy dx (1) In(x - y) = xy + y³; for the following functions: (2) y = tan³√/cot(7x);

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Q: Find f(145) (x) for f(x) = 83x¹0⁹. Simplify your answer completely. f (145) (x) =

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Q: Find local maximum local mainimum Critical points Increasing decreaing interval

A: The solution is given below

Q: Find the limit, if it exists. If the limit does not exist, explain why. limx→2…

A: The limit is evaluated below.

Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: We have to find out equation of tangent

Q: Show all your work to receive full credit. Write your answers as complete sentences. 1. Integrate…

A: Topic = Integration

Q: e (5-x) dx = xydy

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Q: dx d dx dx d dx -sinu d dx -tanu dx dx d dx d dx COSU dx cot u secu CSCU √u A.n+un- B. au* Ina*. C.…

A: Please see the below picture for detailed solution.

Q: 3. The marginal revenue function has x measured in years and MR(x) in hundreds of dollars per year.…

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Q: 4. A one-way road has an overpass in the form of a semi-ellipse, 15 feet high at the center, 40 feet…

A: Overpass is in the shape of a semi ellipse. 15 feet height at the center that means distance between…

Q: y = sin(x), y = 0, x=0, x= π Exercise (a) the volume of the solid formed by revolving the region…

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