7h] = v(t) lim ( h >0 /h] = a(t) = lim [ h>0

Q: Question 8 Find the area of the region bounded by the curve y=1- and the x-axis. 9 A) 0 B 4 square u...

A: Given query is to find the value of the area.

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

A:

Q: dx - = In[F(x)]+C. What is F(/3) if C= 0? For (x+x³) (x Tan-'x+ 1) A B 3 c) 6 D) 3 + + -15

A:

Q: Question 2 d²y Find the equation of the curve for which = 6 – 9x and which passes through the points...

A:

Q: cos2r- sin2x cos21 =-F(x)+C What is Fx)? =xp For COSX – sinư A 2. --cos 'x- cosT+-sin't 3 cos'x sinx...

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

Q: The parametric curve x= 414 + 412 + 1, y= 5t 3 – 5t has two tangent lines at the point (9, 0). Find ...

A:

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

A: We have to find the area under curve .

Q: sin-cos-sin@ do? 2 2 What is the integrable form of (A) 1 du B 2 | cosu du © -S du D) sinu du

A: This is a integration problem

Q: COSX-e +e The integral dr may be written as me asinx + px + ge" + C, where m, n, p, q, r, and Can si...

A: We will solve the integral. 

Q: Cosr -e Sinx sinx +x +e The integral dr may be written as mensinx + px+ ge"x + C: where m, n, p. q, ...

A:

Q: -cos-sino de has the form sin 2 2 -F(0) +C. What should The resulting integral of 4 be the value of ...

A:

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: Which of the following is an improper integral? S'in(x*+1) dv A dx (B 2x + 8 x²-x-2 In3e COSX xe dr

A: definite integral that has either both limits infinite or an integrand that approaches infinity or d...

Q: Question 13 d?y =6-9x and which passes through the points (0, -1) and (2, 3). Find the equation of t...

A: To find the equation of the curve satisfying the given conditions .

Q: Question 9 What is the integrable form of sin -cos-sin@ de? A 12-1 du B -2 sinu du du cosu du

A: We have to find the integral

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

A:

Q: cos2x – sin2x cos2x For dx = - What is F(x)? cosx - sinx O (cscx - secx)3 1 (sinx - cosx sinx + 3 co...

A:

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

A: Equation

Q: 5. y = xArctanx - In V1+x 6. y = In (e* + e*)

A: topic-second derivative of a function

Q: Question 1 sinx sinx +x The integral COsx - e +e dr may be written as mensinx prt gerxLC. where m, n...

A:

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

A:

Q: The weekly revenue from the sale of x units of a service is given by R(x) = 192x - 6x thousand dolla...

A:

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: In (a le) secx ((2- sec²x) " sec (3А - x) to be integrable using the formula What should be the valu...

A:

Q: ex What is the integrable form of dx? e* - e -X

A:

Q: e* What is the integrable form of dr? e* - e -* (u² – 1) ² du (1– u²) Z dr 1 (u²– 1) 2 du 2 – 1) ,? ...

A: Integration

Q: Evaluate the flux integral F.S where S is the surface given by 22 = 1 + y, 0s z 5 4, oriented upward...

A:

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

A: d2xdy2=6-9xor,∫(d2xdy2)dx=∫(6-9x)dxor,dxdy=6x-92x2+c1or,∫dxdydx=∫(6x-92x2+c1)dxor,y=3x2-32x3+c1x+c2....

Q: dx Evaluate Зх- 12 A - C) 8. B.

A:   The given integral is ∫14dx3x-12.   Compute the integral ∫dx3x-12 as follows. ∫dx3x-12=∫dx3(x-4)  ...

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

A: Here is the solution

Q: Which of the following is an improper integral? In(x4+1) dx dx x2-x- 2 dx 2x+ 8 2 In3e COSX dx xe -2

A:

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

A:

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

A:

Q: Find the area of the region bounded by the curve y2–4r and the lines x = 1 and x = 4. 24 square unit...

A: area of the region can be obtained by definite integral of the function within given limits. here we...

Q: T + : 0 UCt )=3€-30€ +72 act)= 6t-30 When is the particle speeding up?

A: A particle is said to be speeding up on the time interval (a,b) iff the acceleration function a(t)&g...

Q: The graph of a function is given. y 1.4 0.6 0.2 For which x in the range shown is the function incre...

A: Function is said to be increasing if slope of graph in that range is positive and for decreasing fun...

Q: Find the area of the region bounded by the curve y^2 = 4x and the lines x = 1 and x = 4.

A:

Q: (a) Use any method to estimate the slope of the tangent to the graph of the given function at the po...

A: Follow the procedure given below.

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A:

Q: What is the integrable form of dr? du u du

A: Given integral is:  

Q: +C. What should be the value of e to make F(0) =0? cos-sino de has the form 2 2 The resulting integr...

A:

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

A: Given,            The slope of the tangent line at any point x,y on a curve is 2x.            The po...

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

A:

Q: Find the area of the region bounded by the curve y2=4x and the lines x= 1 and x = 4. A 63/2 square u...

A: We have to find the area bounded by the region between x=1 to 4.

Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9.3) is on the cu...

A:

Q: cos2x- sin2 cos2x For dr=F(x) +C What is F(x)? cOSx-sinx A -3 sinx- cosX 2. Cos - COSX+sinPx 3 B sin...

A:

Q: 10 -dx may be written as Aln secB+ tanB"+C, where A, B, and Care constants not equal to zero. Evalua...

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Q: dx Evaluate 3x – 12 O 1 + 00 8 8

A: Solution is here

Q: cos(2x)- sin(2x)cos(2x)) cos(x)- sin(x) dx = -F(x) + For C. What is F (x)? 3.

A:

Q: Which of the following integrals is equal to (3x-5) dr if u=3x-7? (A (u+2) du 8/3 -2 -1 / (u-2) du 3...

A: