differentiate y = (x2 -4) 1/2  / (x)2 + (1/2)[Arcsec(x/2)].

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = ln...

A: the given function f(x)=ln x on the interval [1, 6]

Q: Sketch a graph of the function. x – 2 if a 1 Given the piecewise definition f(x) Draw the graph of ...

A:

Q: evaluate the improper integral / 1 dx. Does it converge x(In x)2 diverge? Justify your claim.

A:

Q: Evaluate the limit: limx→0 √6x+64−8/−4

A:

Q: Find the equation of the curve that passes through the point (3, 8) if its slope is given by dy 3x –...

A: We have to find equation of curve

Q: Rion to 2%3D8

A: Solution :Derivative with implicite diffrantiation Given  : x2y+y2=8

Q: Va + 4 What is the domain of the following function: f(x) = %3D x- 7 0[-4, 0) O (7, 00) 0[-4, 7) U (...

A:

Q: g(b) Use the substitution formula f(g(x))g'(x)dx = f(u)du where g(x) = u to evaluate the integral be...

A:

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A:

Q: Find the area of the shaded region. y-2

A: Given query is to find the are of the shaded region.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: Follow step 2nd . 

Q: SVA 1. dt 1

A:

Q: If the integral from 0 to 2 of the function g(x) is equal to 3, what is the integral from 0 to 2 of ...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: ||v|| = 4, 0 = 3.4°

A: Given query is to find component of v.

Q: S(2x – 3) dx 5. e6x

A: The given integral is: I=∫(2x-3)e2x2e6xdx=∫(2x-3)e2x2-6xdx  

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (2...

A:

Q: Given vector u (1, 1) and v (6, 2) , determine the value of V + 2u in component form.

A:

Q: 1. A piece of string is wrapped three times around an empty paper towel tube. The tube is 9 in long ...

A:

Q: plane passes through each X + 2y - 4z - 1 = 0 %3D (a) (-5, 1, –1) O Yes O No

A: Given query is to find plane passes through the point or not.

Q: Consider the following. u = (-7, –8, 4), v = (-9, 6, 5) (a) Find the projection of u onto v. (b) Fin...

A:

Q: A 25-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away fro...

A: Question- 25-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides ...

Q: Using the table of values, estimate the slope of a tangent line tangent to the curve f(x) = x³ – 27 ...

A: Let's find. 

Q: The functions f and g are continuous and differentiable with g(x) = f'(x). Selected values of the fu...

A: Given query is to find the average value of the function g(x) over the indicated interval.

Q: etermine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that...

A:

Q: ∫(x2dx) / (√1+ x)

A: We know, ∫xndx =xn+1n+1+C, C is a constant.

Q: Suppose f(x) = Va. Give the function for each of the following transformations. The graph of f(x) re...

A:

Q: Determine the coterminal angle of 0 that is in the interval [0, 27) 307л 0 = 3

A: The answer to this question can be obtained by changing the angle in radians into degrees and then d...

Q: 1> =a,-4,57is to U=2,-4,5 812.Detemmine -> onthogonal

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A:

Q: If f(x) = x' = 4x² + 10 determine the contavity when x=1. Hint: First find the second derivative O[®...

A:

Q: Solve each problem A segment has a midpoint at (10. 5, –0.5) and the endpoint at (6, 11). What are t...

A:

Q: ven the piecewise function defined below, determine the value of f (x)dx in simplest form. [3x? – 10...

A:

Q: Consider the following function: -9x2 + 5x + 6 if x 1 f(x) = { 312 - 2x - 3 Step 1 of 2: At what x-v...

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A:

Q: f(x) = 2 – a? %3D O Odd O Even O Neither

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

Q: Let f(x) = (x - 3)-2. Find all values of c in (1, 7) such that f(7) - f(1) = f'(c)(7 - 1). (Enter yo...

A: Mean Value Theorem : Suppose f(x) is a function that satisfy the following properties :1. f(x) is co...

Q: name one real world example of when you would use a  polynomial functions and form the equation

A: Suppose , Edwin is sent to a stationary store to buy pencil , pen , eraser and sharpener. He buys al...

Q: Find the gradient of the function at the given point. g(x, y) = 14xeV/x, (13, 0) Vg(13, 0) = еВook

A:

Q: 4. Find the volume of the solid generated by revolving the region bounded by y = x 2 + 2 and y = x +...

A:

Q: (sin-l x)² dx V1-x²

A:

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| = ...

A: We have to find such a vector whose magnitude is 6 in the direction of a vector u = ( 1,1 )

Q: やn?

A:

Q: Let R be the region bounded by the functions f(x) = 2x2-4 and g(x) = 4x as shown in the diagram belo...

A:

Q: IV. Use the given graph of f to state the value of each quantity, if it exists. If it does not, expl...

A:

Q: 1 L (s- 4)6 J

A:

Q: Change the exponential expression to an equivalent expression involving a logarithm. 73 = 343 log734...

A:

Q: y csc 3y? cot 3y² dy

A: Given problem:- ∫ y csc(3y2) cot(3y2) dy

Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at half...

A: Find lower and upper estimates for the distance (in feet) that she traveled during these three secon...

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. ...

A:

Q: A point starts at the location (4.5,0) and travels CCW along a circular path centered at the locatio...

A: Solution: According to question, the diagram should be like this