The graph of f is shown in the figure. The shaded region A has an area of 3.5, and f(x) dx = 8.5. Use this information to fill in the blanks. (Round your answer for part (f) to four decimal places.) (a) (b) f(x) dx = 12 Enter a number. (c) If(x)| dx = | (d) -2f(x) dx =| (e) f(x)] dx =| (f) The average value of f over the interval [0, 6] is

Q: Q1 a) let f be a function defined as f(x)=3x² + 2x². Find f(2), f(-1), f(1). b) Define functions f a...

A:

Q: 3 x 9 4 =39 solve for x matrix problem

A: Solving the problem by matrix multiplication formula.

Q: Using the criterion of the first and second derivatives, find the graph of the function a) F(x) = x³...

A:

Q: Evaluate the integral. 4 + u² du u3

A:

Q: Find the value of sin(2arccos(− (square root 3 )/3) .

A: Given query is to find the value of trigonometric function.

Q: 273/2 on 2 < a S 3 Find the arclength of y =

A:

Q: rectangular storage container with an open top is to have a volume of 10m3 . The length of its base ...

A:

Q: 00 67+2 7n-1 n=1

A:

Q: Jse sigma notation to write the sum. 5 5 + + 4 + 1 4 + 2 4 + 3 4 + 13 Σ i = 1

A:

Q: Use the two polar equations r=-6*cos(theta) and r=6 + 6*cos(theta) to answer parts a through b a. D...

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

A:

Q: Find all the critical points of the function f(x, y) = x3 – 2y3 + 3y + (x – 1)2 and classify them as...

A:

Q: the Root to det entify a

A:

Q: Sketch the region of integration and evaluate by changing to polar coordinates: /1–x? /3x 12х dy dx

A:

Q: 12) Solve: (tan x) (2cosx+1) = 0 %3D tan x = 0 2 cos x + 1 = 0 x = 0 2cos x = -1 m<x= 0 coS X = - m<...

A:

Q: Match the parametric equations with the verbal descriptions of the surfaces by putting the letter of...

A:

Q: Find the antiderivative given below. dx

A: Given the integrationI=∫−5x97dx

Q: a. E=1(-1)"*1 n+1 2n 2 b. Ln=17 10n

A:

Q: By using first principle of differentiation find f'(y), if ƒ(y) = /My – N

A:

Q: Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Th...

A: Topic  =Application of Integration

Q: Using the substitution x= X -3 and y= Y-3 show that the equation dy y+3 dx x+y+6 can be reduced to a...

A:

Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. x²e -4x3 dx +...

A:

Q: Using the integral test determine whether the series is convergent * tan-'(n) Σ 1+n²

A: We are asked to find the series is convergent using integral test.  

Q: Find all critical points and determine the absolute max and absolute min of the following function i...

A: Given query is to find the critical points for the function and absolute maximum and minimum.

Q: Determine whether the Ratio Test is inconclusive (that is, it fails to give a definite answer), conc...

A:

Q: Suppose that an equation for the surface is S(x,y) = xye^x. In what direction (relative to the xy-p...

A:

Q: Use reiman sum to estimate the area under the graph of y=xPon Co6] Use left endpoinb with three rect...

A:

Q: Find the antiderivative given below. (6² +2° - e®)dx e°) dr

A:

Q: 1 Find the power series representation of f(x) 1- x2 Find the power series representation of f(x) 1+...

A: We know that the power series of 11-x is 11-x=(1-x)-1=∑n=0∞xn, where |x|&lt;1Replace x by x2 we have...

Q: 3. Determine whether the following series converges, and if so, find its sum. (b) È n п(п + 2) n5/3 ...

A:

Q: 1. . Express and then calculate the integral that represents the solid of revolution obtained when t...

A:

Q: Suppose that f(x) = x4 – 6x³. (A) List all the critical values of f(x). Note: If there are no critic...

A:

Q: How. which efthefallewing serier which conditiunallycanvergn absolutely sonverge

A:

Q: se left and right endpoints and the given number of rectangles to find two approximations of the are...

A:

Q: If f(2) = 11, f' is continuous, and f "(x) dx = 18, what is the value of f(4)? f(4) =

A: Solve the given problem.

Q: Write the integral in terms of u and du. Then evaluate. (In (x))° dx, u = In (x) (Use symbolic notat...

A:

Q: Express the limit lim (2(:)* – 7(z;)")A¤; over [5, 8] as an integral. i=1 Provide a, b and f(x) in t...

A:

Q: Let f(x)=ax³+bx²+cx+d , where a, b, c and d are constant real numbers, with a#0. How many critical p...

A: We know for critical points we put derivative of function equal to zero. Then we find the roots of e...

Q: Q5 Rewrite the following expressior exponentials. Write the final result as simply as you can. 1- 2c...

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for...

Q: Q1 Consider the ellipse x2 y2 = 1 25 16 that shifted 4 units to the left and 5 units down. Find the ...

A: Use the shifting properties of a curve then compare with standard equation and find all required. 

Q: Bernoulli’s Equations Obtain a solution to the following ODEs. y(6y2 - x - 1)dx + 2x dy = 0

A:

Q: A plane directly above Denver, Colorado, (altitude 1650 meters) flies to Bismark, North Dakota (alti...

A:

Q: 100 а. 2" 3n 7 b. 2n=1 4n 100

A:

Q: Rewrite the following expression in terms of log a(2) and log a (5). log a (V80)

A:

Q: 3- 2n+s

A:

Q: Consider the following function. (If an answer does not exist, enter DNE.) h(x) = (x + 1)7 − 7x − 3 ...

A: The given function is  h(x)= (x+1)7-7x-3. To find the interval where h(x) is increasing and decreasi...

Q: dy -0.20 (у - 10) у (0) %3D 30

A:

Q: Solve the linear system of equations. −2x+3y=2                   9x−7y=3

A:

Q: Find the area A of the region between y = 4x2 + 10 and y = 2x + 7 over the interval [-3, 2].

A:

Q: You invest $4000 in an account with an APR of 3% and daily compounding. How much will you have after...

A: