The slope of the tangent line at any point (x, y) on a curve is If the point (9, 3) is on the curve, find an equation of the cur 4 y=-x3/2 – 33 3 O y=x3/2 – 24 3 y=-x3/2+ 33 4 4 y=-x3/2 – 39 3

Q: Which of the following is an improper integral? A dx -4 x² – x – 2 In3e (B cosx dx хе -2 dx C 2x + 8...

A: To find out the integral which is improper. 

Q: Determine whether the statement is true or false. (tan (x)) = (sec"(x) dx

A: topic - derivatives

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.

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A: we have to find the value of A. 

Q: Determine whether z is a function of x and y Determine whether z is a function a?z + 3y? – xy = 10 x...

A: Here is the solution  

Q: Find the volume of the solid formed by rotating the region enclosed by x = 0, x = 1, y = 0, y = 7+ 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

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A: We will find the value of theta. 

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 ...

A:

Q: Let {an}=1 be a convergent sequence such that a1 = V5 and an+1 = V5 a,n. Compute lim an.

A: The sequence an is convergenta1=5 and an+1=5 an

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

A:

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

A:

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

A:

Q: If F(X) is an antiderivative of *-2 + x-', then what is the value of F(1) - F(-1)?

A:

Q: Which of the following integrals is equal to the integral (3x-s) dr? 7/3 A |dz 713 B D

A: Please see the answer below.

Q: Question 17 5 Points Find the equation of the curve for which dx2 d?y =6-9x and which passes through...

A:

Q: Which of the following is an improper integral? dx A) 2x+8 2. In3e ® S* (в COSX dx -2 C) 4x² – x - 2...

A:

Q: Determine whether z is a functio *+ + 2? = 1 No Yes

A: Solved below

Q: Consider the following function. f(x) = ;x = 1 (a) Use any method to estimate the slope of the tange...

A: Explained below 

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

A: We have to find the anti derivative of the expression and find the values of them.

Q: 1. Let {an}1 be a convergent sequence such that V5 and an+1 3D V5а,. a1 = Compute lim an. n→∞

A: ann=1∞ be a convergent sequence such that a1=5 and an+1=5an

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

A:

Q: , Suppose f (x, y) = 4, P = (3,2) and v = 3i – 2j. - A. Find the gradient of f. (Vf)(x, y) : i+ j No...

A: As per the company guidelines we can solve first three parts . I hope that the given solution will h...

Q: 3. Sketch the region bounded above by the curve y = x, below by the line y = -x - 2 and on the sides...

A:

Q: Help

A: We will find the dimension to minimize the fencing. 

Q: What is the integrable form of sin-cos-sin0 d0? 2 A /1 – u² du B Vu²-1 du © : fcomndn cosu du D sinu...

A:

Q: The antiderivative of fx), denoted by F(X), exhibits an odd symmetry i.e., it satisfies the property...

A:

Q: The general antiderivative of ( 3x2 - 4) +C. What is the value of the sum a +b+d+m +n+p? can be writ...

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

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: sinx sinx +x The integral cosx - e +e -dr may be written as mensinx + pr+ gerx + C, where m, n, p, q...

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

A: We have,

Q: 10 dx may be written as A ln secB+ tanB*+ C. where A, B. and Care constants not equal to zero. Evalu...

A:

Q: Differentlate. sin(0) e) = 1+ cos(0) f() = -. Write a decimal correct to 4 d.p

A: topic - derivative of a function

Q: ex What is the integrable form of dr? e* – e° A 2 du B (u²– 1) ² du (u²– 1) ² du D (1-u²) ² du

A: In this question we have to find the Integrable form of the Integral.

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 y= 1--x² and the x-axis.

A:

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

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the s...

A: The region is bounded by y=x2, y=9, x=0, x=3

Q: Find the derivative of y = csc¯(In sin (x))

A: use simple integration formula.

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: 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 ...

A:

Q: The radius of a cylinder is increasing at a rate of 1 meter per hour, and the height of the cylinder...

A: Given; dr/dt =1, dh/dt=-1,r=5meters,h=8meters.

Q: bacteria culture initially contains 2000 bacteria and doubles every half hour. Find the size of the ...

A: Given query is to find population of bacteria after indicated time  

Q: The slope of the tangent line at any point (x, y) on a curve is 25 If the point (9, 3) is on the cur...

A:

Q: Find the area of the region bounded by the curve ,2-4r and the lines x = 1 and x = 4. 21/2 square un...

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

Q: If the brakes on a car give the car a constant negative acceleration of 24 mfe2, where i is a positi...

A:

Q: Question d79 Find (-9 sin (x)). dx79 Provide your answer below: ( -9 sin(x)) = D 7.79

A:

Q: In Exercises 21-24, an implicitly defined function of x, y and z is given along with a point P that ...

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect...

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.