Find the area of the region bounded by the curve 2-4r and the lines x = 1 and x = 4.

Q: Question 4 The slope of the tangent line at any point (x, y) on a curve is 2. If the point (9, 3) is...

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Q: Find an equation of the tangent line to the curve at the given point. 3. Y sin xt cos P (0, 3)

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Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s2, where k is a positi...

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y = x²...

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Q: Which of the following integrals is equal to the integral / f(3x – 5) dx? 7/3 "s(:) dz 3 -2 2p (2)f ...

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Q: x-sin x f(x) = x²–1

A: f(x)=xsinxx2-1For Vertical aymptotesEquate denominator to zero⇒x2-1=0⇒(x+1)(x-1)=0⇒x=-1,1 Vertical a...

Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s?. where k is a positi...

A: The given question has been solved in detail.

Q: Find the area of the region bounded by the curve y= 1-x2 and the x-axis. 9 6 square units 8 square u...

A: Given query is to find the area of the region bounded by the curves.

Q: Which of the following integrals is equal to (3x-5) dr if u= 3x-7? 1.

A: The given integral,      ∫123x-5dx

Q: cos2x – sin2x cos2x For -F(x)+C. What is F(x)? cosx – sinx

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Q: Find the area of the region bounded by the curve y=1- and the x-axis. 4 square units 8 square units ...

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Q: Find the area of the region bounded by the curve y= 1--x² and the x-axis. 9. A 6 square units B) 0 c...

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Q: The antiderivative of f (x), which is F (x), exhibits an odd symmetry, i.e., it satisfies the proper...

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Q: Given matrices A = 5 , compute 2A + B. and B %3D

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Q: : [ (2- sec?x) lm sec(3A – x) e In (ale) sec3r What should be the value of A for dr. to be integrabl...

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Q: d?y =6- 9x and which passes through the points (0, - 1) and (2, 3). Find the equation of the curve f...

A: Integration

Q: Find the area of the region bounded by the curve y=1--x² and the x-axis. 9. (A 8 square units B 4 sq...

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Q: b "+xP+C- What is the value of the sum a +b+d+m+n+p a d The general antiderivative of (3x2– 4)2x2 ca...

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Q: Question 10 Which of the following is an improper integral? A dx -4 x-x-2 dx B 2. 2x+8 | In(x++1) dx...

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Q: The integral of (10*/cos 10*)dx may be written as A In sec B* + tan B* | + C. Where A,„B, and C are ...

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Q: If the brakes on a car give the car a constant negative acceleration of 24 m/s2, where k is a positi...

A: Here we applied the motion law  V^2=U^2-2as Where,  U=initial velocity. V=final velocity.   

Q: TC If f(x) =, then f tan x II

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Q: Which of the following is a multivariate function? No answer 5e-sin z cos (e) e V2x? – y

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Q: dx Evaluate Зх — 12 A) o в) 1 (c) + 00 D 00

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Q: sinx sinx +x Cosx - e + The integral dx may be written as nsinx те +px + qe* +C. where m, n, p, q, r...

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Q: eln (xle) What should be the value of A for dr to be integrable using the formula du? sec(3A – x) A ...

A: The given question has been solved in detail and option D is the correct answer

Q: Which of the following integrals represents the volume of the solid obtained by rotating the region ...

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Q: 1 x² + 10x + 41

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Q: Question Find the equation of the tangent line to f- at the point P(1, 2) for f(x) = /3 – x. %3D Pro...

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Q: of cos 2 2 sin 0) de has the form 1 -F 4 sin lue of 0 to make F(0) =0?

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Q: d²y =6- 9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve fo...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: The number of hits on a certain website (in thousands) is approximated by f(x) = 70 e 0.1769x where ...

A: The number of hits on a certain website is f(x)=70 e0.1769 x, where x=0 corresponds to 2000.

Q: 1. у %3D х3 — х?cosx + 2xsic 2 sin x – 1 2. у%3D cosx+ 2 3. tan(xy) + xу %3D 0 4. у %3D хсоsх

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Q: a b. d The general antiderivative of (3x2-4)2x2 can be written as +, xP+C. What is the value of the ...

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Q: d?y - =6-9x dx 2 Find the equation of the curve for which and which passes through the points (0, -1...

A: To find the curve satisfying the conditions

Q: dx Evaluate 3x-12 A 0. B 8.

A: Solution is here

Q: Find the slope of the tangent line to the curve 2a? – 4xy – 4y³ = 4 at the point ( – 2, – 1).

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Q: Vhat is the integrable form of sin(e) de? A 1- u² du B cos np(n)s -2/ sin(u)du D 12-1 du

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Q: Question 13 5 Point sinx sinx +x Cosx - e +e The integral dr may be written as nsinx me +px + qe FC....

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Q: f(x) = x³ – x +1 e = 0.0001 %3D %3D initial value = 0 %3D increment = -1 %3D

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Q: e* What is the integrable form of dx? B -1/2 D du

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Q: d +-xP +C. What is the value of the sum a The general antiderivative of (3x2 – 4) 2x2 can be written...

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Q: sinx sinx +x +e COSx - e The integral dr may be written as me nsinx + px + ge + C, where m, n, p, q,...

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Q: The resulting integral of sin -cos-sino de has the form -F(0)+C- What should be the value of e to ma...

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Q: dy Find dx y=4(sec x + tan x)( sec x- tan x).

A: Here, the given function is: y=4(sec x+tan x)(sec x-tan x)  =4(sec2x-tan2x)  =4(1)             (beca...

Q: Find the equation of the curve for which = 6- 9x and which passes through the points (0, –1) and (2,...

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Q: A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 96 fp...

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Q: Find the area of the region bounded by the curve y2= 4x and the lines x = 1 and x = 4. A 56/3 square...

A: area of the region will be obtained by taking out the definite integral of the function within given...

Q: Find the area of the region bounded by the curve y=1-x2 and the x-axis. 6 square units 4 square unit...

A: Refer Attachment for solution.

Q: Consider the line perpendicular to the surface z=x^2+y^2 at the point where x=3 and y=2. Find a vect...

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