In Exercises 21–22, calculate the integral exactly

Q: Suppose h(x) = f(g(x)). Given the table of values below, determine h' (-1). %3D f(x) g(x) | f'(x) g'...

A: Given            

Q: Given the function f (x, y, z) = ln(x³ + 4y² – z) – x, calculate the partial derivative with respect...

A: Given function - f(x,y,z) = lnx3+4y2-z-xWhile differentiating f(x) with respect to x, then y and z w...

Q: How would I find the y?

A: Given parametric equations, x=et,y=e3t+4 To find y.

Q: 1. a. State the formal definition of the derivative of the function f(x).  b. Use your definitio...

A: we know that derivative of a function y=fx of a variable x is a measure of the rate at which the val...

Q: Calculus Question

A:

Q: I need the procedure please

A: Concept if limx→0f(x) = 1    and limx→∞g(x) = ∞ then the limx→0f(x)g(x)  = elimx→0[f(x) -1][g(x)]   ...

Q: Calculus Question

A: Given that ∫(9t8+t9)dtWe need to find the anti derivative of the function and check our answerby dif...

Q: is Substitute for +4 X = 2tano and dx= 2 Secodo %3D

A: Given integral is ∫x3x2+4dx Substitute for x=2tanθdx=2sec2θdθ  

Q: solve the for the general solution of the differential equation( linear homologous equation):(D6 + 6...

A:

Q: 1. Find the intervals increase/decrease and the concavity

A: Given: fx=xx2-1

Q: A balloon is rising vertically at a constant speed of 3 m=sec: A boy is cycling along a straight roa...

A: Given: dxdt=7 and dydt=3

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C f...

A:

Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = CA...

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

Q: Find the area between the curves y = 3  x and y = x2 9: Exact value, show all work for full credit.

A: Given curves are, y=3x and y=9x2.

Q: valuate the indefinite integral. +V2x dx 3x

A:

Q: Find the domain of the functions defined by the following formulas, and then draw these domains in t...

A: Given fx,y=1-xy

Q: sec 10.3

A:

Q: Given f(x) = 2æ – 33x2 + 168x + 7 over the interval of 0 < x < 10 , answer the following: a) The poi...

A:

Q: O Converges; the series is a constant multiple geometric series. Convergor

A: Given that: The series is 12 + 14 +16 +18+110 + ...   .

Q: Recall that an angle making a full rotation measures 360 degrees or 27 radians. a. If an angle has a...

A: a) Given, An angle is measured 3 radian One full revolution = 360°=2π radian ⇒    2π radian =360 deg...

Q: I keep getting a half point for this questions can you please.

A: Explanation of the solution is given below...

Q: State where the power series is centered. s (1)"(x - 5x)4n (4n)! n = 0

A: Given power series is, ∑n=0∞-1nx-5π4n4n!

Q: Prove lim sin (t)

A:

Q: if 4/5,a,2 are three consecutive terms of anA.P then find the value of a.

A:  

Q: 8. Assume that we have functions ƒ(x) and g(x) so that 5 c5 f(x) dx = -1 f(x) dx = 4, g(x) dx = 3 g(...

A: Given: ∫-13fxdx=-1∫35fxdx=4∫-11gxdx=3∫15gxdx=2 To find: ∫-152fx-5gxdx

Q: A sector of a circle has a diameter of 22 feet and an angle of radians. Find the area of the sector.

A: Suppose r be the radius of the circle, then r=diameter2=222=11  feet And θ=π2 radians=π2180°π=90°

Q: 7. So let's see if we can do this with a brand new problem. Try to evaluate re- dx. Start with u = i...

A:

Q: Please show your work by drawing a picture and providing equations. Make sure to find the minimum va...

A:

Q: sec 10.3

A: answers are    a) weight perpendicular is 9.396 lb b) weight parallel is 3.420 lb detail solution is...

Q: The height of a cylinder is increasing at a constant rate of 6 feet per second, and the volume is de...

A:

Q: How would I find the y?

A: Find the value of t in terms of x and substitute that value of t in y equation.

Q: Right-Endpoint, Lefth-endpoint and Midpoint Approximations. Please help me understand this.

A: Hey, since there are multiple subparts posted, we will answer first question. If you want any specif...

Q: d^2y/dx^2 − 6 dx/dy + 9y = 2 + x^2 − x^3

A:

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving...

A: Given: y= 36-x2 To find: Volume of solid formed by revolving the region about the  y - axis.

Q: The height of a cylinder is decreasing at a constant rate of 4 centimeters per second. The volume re...

A:

Q: (1/2)t -(1/5)v = 7/2 (2/3)t + (1/4)v = 7/12 Could you please solve the above sysytem? Thanks

A: Consider the provided equations, 12t-15v=72...... (1)23t+14v=712 ...... (2) Solve the above equation...

Q: Let f(x) = log2(x). a. Sketch a graph of y = f(x) on the grid below. Use a table of values to help y...

A: NOTE- In this session i have answered first three subparts as we are allowed to solve only 3 subpart...

Q: Find the lengths of all sides (approximate to the nearest hundredth when necessary) and the measures...

A: Given,          

Q: Consider the function f(x) = 2/x + 1 on the interval [2, 6]. Find the slope of the secant line on th...

A: Define secant line: The secant line is defined as the line passing through two or more points on a c...

Q: 6. by competitors, Pizza Hut is losing customers and consequently the number of stores remaining ope...

A: Given in the year 2015, the no. of pizza hut stores was 2178 and it is decreasing by 11% each year.

Q: Verify the following identity  sec(x)-cos(x)/sec(x)+cos(x) = sin^2(x)/1 + cos^2(x)

A:

Q: Please solve 112

A: 112.

Q: 9. Assume there is an object whose distance from a fixed point is determined by s(t) = t2 +1' (a) De...

A: Given that there is an object whose distance from a fixed point is given by  s(t)=t2/(t2+1) We need ...

Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second poli...

A: Given the time interval 10:17 am to 10: 53 am So the time interval is from [17,53] Average velocity ...

Q: 28x2 + 949x – 2124 а. lim x→-36 37x² + 1380x + 1728

A:

Q: Construct the dual problem associated with the primal problem. Solve the primal problem. Minimiz...

A: In the above question, the primal problem is given we have to construct a dual problem from it we ju...

Q: Please solve the screenshot &amp; show/explain your work!

A: Given fields is F(r)=crr3 Flux of the field F will be,∬SF.dS=∬SF.ndShere n is the unit normal vector...