1 x√x²-2x =dx : √x²-2x x =+c C

Q: Evaluate lim X→∞ ९+2 1 - x³ ( if necessary, using L'Hôpital's rule)

A: limx→∞ex21-x3Apply L-Hospital rulelimx→∞2xex2-3x2limx→∞2ex2-3x

Q: 0 X State in words all the transformations necessary to obtain the graph of y=2f(x-2) from the given…

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Q: Suppose you know that f(8) = - 1, f'(8) = 10. Find the equation of the line tangent to the graph of…

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Q: (3x-x²) dx x² Reciprocal Substitution

A: Let's find.

Q: Gravel is being dumped from a conveyor belt at a rate of 34 ft3/min and its coarseness is such that…

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Q: f(x) = 2√3 x, g(x) = 2x − 4, y h(x) = 3x3. Encuentra el valor de cada expresio ́n. (a) (f ◦ g)(7),…

A: Given query is to find the value of the indicated function.

Q: sin³ (cos(4) dx 2 32 Ⓒcos A COS 35 32 B 35 32 Ⓒ-3 cos (4) C 32 D 3/7/7 C (4)[-5cos (4)+7] 5³ (4)…

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: d. Find an equation of the normal line to the graph of y = √x + 1 at the point (3, 2).

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Q: Consider the function f(x) = x² x7 +4 Use the Intermediate Value Theorem, if applicable, to…

A: Using the intermediate value theorem.

Q: f(x) = t^2(t - 7)^1/3.   Find all critiacal points and all relative maxima

A: Solution is given below:

Q: Calculate the difference quotient for f(x) = x + x¹ at a = 9. (Express numbers in exact form. Use…

A: Given query is to find the derivative and the tangent equation.

Q: d d Calculateri(t) r2(t)] and 77[r1(t) × r²(t)] first by differentiating the product directly and…

A: We need to find derivative.

Q: QUESTION 15

A: answer is in next step

Q: Evaluate the definite integral. NOTE: Enter the exact answer. L²||ti ti = + t²i||dt

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Q: 10. A. B. C. D. Consider ·S -9 +3 what is the integral form in terms of ? sin ²0 de Scos²e de sin²e…

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Q: 1) f(x,y)=y-x, (2.1)

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

Q: y 8 6 4 2 y = 3x+1 2 J C 4 y = 8 - x 8 CO X

A: Given query is to find the area under the curve.

Q: Describe the graph of the equation. r = 7 cos ti - 9 sin t j + k major axis of length 7 parallel to…

A: We need to describe graph of given function.

Q: The demand for a product is given by D(x) = 150e-0.025x, where x is the number of units sold each…

A: Let's find.

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: Given: The open rectangular box of maximum volume that can be made from a sheet of carboard 21 in by…

Q: a) Start by copying the graph of the inverse tangent curve onto your paper. Then label each plotted…

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Q: . Consider the integral f sin ¹x dx. If we let u = sin-¹x and dv = dx, the integral can be written…

A: answer is in next step

Q: Find the equation (in terms of 2) of the line through the points (-5,-4) and (2,3) y =

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Q: Q2: find dw/dt at given value point for the following function 1 1 x = cos² (t), y = sin² (t), z =…

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Here's the…

Q: N) dy x dx X (1+y) y (1-x)

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Q: x1

A: answer is in next step

Q: Caitlyn wants to enclose a rectangular field with two internal partitions as shown. If the area of…

A: Given problem:- Caitlyn wants to enclose a rectangular field with two internal partitions as shown.…

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Find F'(x). +2 x+² (4t + 1)dt a. F(x) = b. F(x) = ft³dt sinx c. F(x)=√t dt d. F(x) = f sin t² dt e.…

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Q: Explain why you think the sequence converges to a finite number or n+1 diverges. If the sequence…

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Q: Find all the values of x such that the given series would converge. ∞ 7¹ (x-3)n n+ 3 n=1 Answer:

A: Solution in step 2

Q: 82. lim (1 + 10)²

A: Explanation of the answer is as follows

Q: Question 9 Let f(x) f-¹(x) = 1 2+8

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Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 6 - 6…

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Q: 8 x²-1 x³+x A. -1 dx = √( + g(x)) + g(x) a dx, then A + f C. 1 g(x) dx is c B. -1 + In(5/2) to D.…

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Q: c) 59 ² + √x dx x

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Q: Find equations for (a) the tangent plane and (b) normal line at the point P on the given surface 1)…

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Q: = Consider the integral f sin-¹x dx. If we let u = sin¯¹x and dv dx, the integral. can be written as…

A: Explained below

Q: The series ∞ (-10) k k! k=1 is an alternating series but we can apply the ratio test to ∞ (-10) k k!…

A: We have to check convergence of series with the help of ratio test.

Q: A B Consider the integral f sin ¹x dx. If we let u = sin-¹x and dv= dx, the integral can be written…

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Q: Calculate the derivative. f(x) = 6-9x1/3 +9e* (Use symbolic notation and fractions where needed.) d…

A: A detailed solution is given below

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

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Q: rem, if applicable, to determine if f(x) takes the value 0.1 for some x in [0, 1].

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Q: lim (2x²+x-1) 2-0 LIMIT VALUE: 2²-4 lim 2-0 2+8 LIMIT VALUE: LIMIT VALUE: 9-z lim 2-9 3-√√2

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Q: Explain why you think the sequence -2, 25 125 " ... 8 2 32' . converges to a finite number or…

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Q: Q1: Find partial derivatives of the function with respect with each variable 2) f(x, y) =…

A: As per guidelines we can answer only three subpart questions at a time, so if you need more answers…

Q: dx 1+tan x

A:

Q: Suppose a tank leaks toxic chemicals. The area affected is a circle centered on the tank. When the…

A: A=πr2r0=70 mA0 =4900π  m2r1=220 mA1 =48,400π  m2rate of change in area:=A1-A0t1-t0=48400π-4900π50-0…

Q: 20. To solve S for this integral? A(2x) + B x² A. B. C. 22-12x dx, partial fraction is to be…

A: The given integral,      ∫22-12xx23x2-10x-8dx