√x²-1 The value of the definite integral / dx is in the form F(b) - F(a), where a and b are the lower and upper limits of integration respectively. What is F(a)? π 4 4+π 4 T-4 3 3

Q: 6. Evaluate * d'y day dx5 + dx4 y = (C₁+C₂ + С3) ex +С4е²x +C5e-³x - 6 d³ y = 0 dx³ y = C₁+C₂x +…

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Q: Find the sum of the geometric series below: 5 5 5 + + 5+ + 3 9 2187 49200 A 6561 5465

A: Topic:- sequence and series

Q: Use the graph to find the following limits and function value for each value of a. i) lim f(x) ii)…

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Q: Use substitution to find the indefinite integral. 16t-8t² dt (1-1) e 16t- ... Describe the most…

A: Solve the following

Q: 10) (x + 7)²_ (y + 4)² = 1 + 81 36

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Q: Which of the following functions will involve a factor of t" the t-axis?

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the volume of the solid obtained by rotating the region bounded by y=x+1 y=0, and x=2 24π C.U.…

A: Answer is 9π c. u.

Q: Using Rationalizing Substitution S- O In(y) + C O Arctan(y) + C O2Arctan(y) + C O2ln(y) + C dx…

A: ∫dxxx-1Substitute y=x-1→dydx=12x-1→dx=2x-1dy=2∫1y2+1dy

Q: Find average Value of f(x)=X³ on [1,2]. Then find Point CE [1,2] meun € [1,2] quaranteed by the…

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Q: 6. Find the integrating factor, I of the linear differential equation dy dx A. -x²y B. C. D. e-x²…

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Q: The area of a circle of radius a can be found by the following integral a. f (a²-x²) dx √a²-x²dx O…

A: Given

Q: For the given cost function C(x) = 32400+600x + x², First, find the average cost function. Use it to…

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Q: Using Rationalizing Substitution [√x + 1 dx = y² + 4y + 4in(y-1) + C. express the final answer in…

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Q: The equation N (t) 600 models the number of people in a town who have heard a rumor 1+49e-0.7t after…

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Q: Set-up the integral for the area of the plane region bounded by y=x+4 and y=x²-2x- (x²-3x - 4)dx…

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Q: Find the area of the plane region bounded by y=-x+2 and y=x²-2x 7 s.u. S.U. S.U. 2 9 s.u.

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Q: Students in a zoology class took a final exam. They took equivalent forms of the exam at monthly…

A: topic- functions and derivatives

Q: For each system in Exercises 1 and 2, (a) find the general solution; (b) determine if the origin is…

A: Answer is in next step

Q: what is the gross profit margin on the coffee tales described in question 1 above

A: Profit

Q: If you evaluate the integral expression |2x - 3|dx the result is Blank 1 (use fraction or decimal in…

A: Topic:- application of integration

Q: Find the area of the plane region bounded by y=-x+2 and y=x²-2x 9 s.u. 7 s.u. 2 S.U. S.U.

A: We have to find out area

Q: II. Find dy/dx of the following functions: 1. y = cosh √√4x²+3 2. y= sec hx² x² +1 3. y=xcsche4x

A: See this solution in below

Q: Using Rationalizing Substitution S O Arctan(y) + C Ⓒ2Arctan(y) + C O In(y) + C O2ln(y) + C dx X√√x-1…

A: The integral is  ∫ dxxx-1=∫f(y)dy

Q: If w = 2x² - 2y + 3z + sint and x-y=t, find the partial derivatives below. aw a. (3) X.2 c. (H) b.…

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Q: FIND THE VOLUME OF THE SOLID GENERATED WHEN THE REGION BOUNDED BY THE CURVE (x-5)² = 4-Y AND THE…

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Q: A street light is at the top of a 10 ft tall pole. A woman 6.5 ft tall walks toward the pole with a…

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Q: Find the maximum value of f(x,y) = 12-x² - y² on the line x + 2y = 5. The maximum value of f(x,y) =…

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Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in…

A: Here to find the velocity and speed we have to derivate the function s=f(t).

Q: 1+x² 1. Find the area of the region bounded by the curve y=- 2x² and the lines y = 0, y = x, x = 2.

A: Given problem:-  1. Find the area of the region bounded by the curve y=(1+x2)/2x2 and the lines y =…

Q: √x²=1 The resulting value of the definite integral x where c and d are whole numbers. What is the…

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Q: A) A retailer has been selling 1,000 computers a week at $750 each. The marketing department…

A: Please see the below picture for detailed solution.

Q: Find all solutions to the given equation. In the choices, k runs through all integers. √3csc(x)+2=0…

A: We can find the answer as below.

Q: A tank in the form of a rectangular parallelepiped is 12 ft long, 4 ft wide, and 6 ft deep. The tank…

A: Work done to pump water = mgh

Q: A thick cable, 60 ft long and weighing 180 lb, hangs from a winch on a crane. Set-up the integral…

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Q: 1 f²2² ²¹ (x+y+z)dxdzdy 0 0

A: This question can be solved using the concept of evaluating triple integrals.

Q: Evaluate the given limit of the following: lim_[Vx2 + x - Vx2 + 4] X+00 Ya

A: Given;  Limx-infinity [sqrt(x2+x) - sqrt(x2+4)]

Q: 13) 2 X 121 + (y − 1)² = 1

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Q: Find the area bounded by each of the following curves. Draw a graph and show complete solutions.…

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Q: Using Rationalizing Substitution 5y+5+ 5 y-1 6 6y+6+ y-1 6y²+6y+6+ 1 y²(y-1) 6 y-1 .729 dx 64 √x-3√x…

A: We can solve the given integral.

Q: .729 dx "J64 √X-3√x" √ or(v)dy, and f(x). find = Using Rationalizing Substitution © 6y+6+ 6 y-1 6y²…

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Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

A: answer is in next step

Q: π 3π The region bounded by y = cos x - 1 and the x-axis in the interval is revolved about the line x…

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Q: Find of, af , for f(x, y) = log₂ (3г² - +y)

A: Solution of given question is written in below steps.

Q: The area in the first quadrant bounded by y = x², the circle x² + y² = 2, and the x-axis is equal to…

A: We have to find the value of a and b.

Q: a. create a maclaurin series from the function: f(x) = 1/(1 + x)2 b. Determine the value of X so…

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Q: find the equation of tangent and normal to the curve √ x-√ y=1 at (9,4)

A: find the equation of tangent and normal to the curve √ x-√ y=1 at (9,4)

Q: ³₁(1+w) (2w + w²)5 dw

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Q: A thick cable, 60 ft long and weighing 180 lb, hangs from a winch on a crane. Set-up the integral…

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Q: 5. Find the partial derivatives with respect to x of the function: xy² - 5y +6 a. y²-5 b. y² C. xy -…

A: We have to solve partial derivative with respect to x As per Bartleby  guidelines we have to 1…

Q: A+B+C =0

A: