Find the volume of the solid enclosed by the surface z = x2 + xy2 and the planes z = 0, x = 0, x = 5, and y = ±8. 4400 X

Q: Evaluate the integral. (Use C for the constant of integration.) 5 dx 49x² - 1 √x².

A: The given integral is:

Q: f(x)=x-5 x 1. f(5)= 2. lim (x-5) as x->5 = g(x)= x = f(x) 3. g(5)= ²-25 x-5 g(x) 4. lim g(x) as x->5…

A:

Q: dN A chemical substance has a decay rate of 8.9% per day. The rate of change of an amount N of the…

A: Solving the problem

Q: I need help on how to do this one

A:

Q: Calculate the integral R f(x,y)dA for f(x, y) = 10-4x²y and R: 0≤x≤ 2, -1 ≤ y ≤ 1.

A:

Q: For what value of k the following piecewise defined function will be continuous? [k - 2 cos x, e4x+1…

A:

Q: Thanks for answering. That one was correct . Please could you also answer the second one?

A:

Q: so what is the solution for 23,24

A: The given integrals are;23) √x , limit from 1 to 924) x-2/3, limit from 1 to 8.

Q: The formula A-740,000 1+5 K 740,000(1+0.05)/14 True represents continuously compounded interest O…

A:

Q: Find the local maximum and minimum values of the function ƒ (x) = −x Second Derivative Test.…

A:

Q: 30. f², (3u-2)(u + 1) du

A:

Q: Considering the definition of f(x) below, describe f(x) at x = 2. x²+x-1 -2x² + 2x -1 2x + 1 Select…

A:

Q: Let f(x) = log6x and g(x)=₁*. For all x g(x).

A:

Q: A large, well stirred tank with 500 gallons of beer contains 4% alcohol (by volume). Beer with 6%…

A: A large, well stirred tank with 500 gallons of beer contains 4% alcohol (by volume). Beer with 6%…

Q: Find the derivative of the given function. y = (x2 - 4x + 4) e9x/4 기 = dx

A:

Q: j(x) = X 9. j(5) = x-5 X j(x) 10. lim j(x) as x->5 = 11. j(0) =

A: J(x)=(x-5) /x

Q: 2. Given that p = (5,-2,4), (3,-4,-2), and F = (-3,2,1), calculate the following. a) p q b) the…

A:

Q: ←++ -10-9-8-7 (If the limit does not exist, enter Ø.) 10 9 8 7 6 5- 4+ 3+ 2+ 1+ -3+ Y -4- II T ст н…

A:

Q: For what value of b does the limit b = exist? What is the value of the limit? b = b b b = = lim x→→2…

A: Limx--2(6x3+5x2-12x+b)/(x2+x-2) Find the value of b and the limit.

Q: The rate of healing, A'(t)(in square centimeters per day), for a certain type of abrasive skin wound…

A: t01234567A'(t)0.910.870.720.670.610.510.480.43

Q: Find any two non collinear vectors on the plane x-y-3z +6=0

A:

Q: Evaluate the integral. 8 S² (4+1)" a dt √₁5 (4+10) 8. dt =

A:

Q: You will integrate the following rational function: s 4x2-14x-3 (x-9) (x2–2x+2) To do this, start by…

A:

Q: Find three positive numbers whose sum is 120 and whose product is a maximum. (Enter your answers as…

A:

Q: Find the smallest integer a such that the Intermediate Value Theorem guarantees that f(x) has a zero…

A:

Q: 8. Consider the vectors u, and w. If 2ū= [2, -2, -6], [-1, 1, 2], and W = [-1, 1, -1] find the exact…

A:

Q: The sales of a small company were $32,000 in its third year of operation and $52,000 in its fifth…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 25dx 25 + ex

A:

Q: Find dy. y=3 In (2+x²)

A:

Q: 4. lim (9x + 1)² x→-1 In the following exercises (5-10) use direr

A:

Q: If a is a nonzero real constant, what is the following limit? x3 a lim xa x a4 Does not exist 1 2a 1…

A:

Q: If R is the region between the graphs of the functions f(x) = 4x³ + 9x² + 7x-3 and g(x) = 5x³ + 2x²…

A: Two function are given÷f(x) = 4x3+9x2+7x-3g(x) = 5x3+2x2+17x-3We need to find the area between the…

Q: Question 3 Find all possible triangles where A = 40°, the length of the side opposite A is a = 18,…

A: To find all possible triangles where , the length of the side opposite  is , and the length of the…

Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do…

A:

Q: Find the total solution to the initial value problem: y" + 4y + 4y = 2e-2t y (0) = 1, y' (0) = 1…

A:

Q: f(x)= 72 X f'(x) = (Type an expression using x as the variable.)

A: We know that the defination derivative formulaf'(x)=lim_(h->0) (f(x+h)-f(x))/h

Q: Evaluate the integral. 66² = Step 1 30 6x² + 7x + 1 +6²= Q(x) = The integrand of 30 where P(x) = 30…

A:

Q: Monthly sales of a particular personal computer are expected to decline at the following rate of…

A:

Q: 2. Sketch the line = (-4,-4) + t(6,8).

A: To sketch the line r=(-4,-4)+t(6,8)

Q: The DNA molecule has the shape of a double helix (see the figure below). The radius of each helix is…

A: The radius of each helix is about 10 angstroms(1 Å = 10–8 cm)Each helix rises about 34 Å during each…

Q: (b) Describe the relationship between each pair of planes, and determine any intersection: (i)…

A: (i)Here we have given a equations of pair of plane.Now, comparing their coefficients and constants…

Q: q12.14. Say you know that a sphere has its middle point located at (0,0,0) and has a radius of 2…

A:

Q: 10. Use the divergence theorem to calculate surface integral Is F. ds, where F(x, y, z) = (e¹² î +…

A:

Q: limo|x|sin(cot(x))

A: We need to solve We know

Q: {(1,5), (-2,3)} is a spanning set for R². Express the vector (4, -3) as a linear combination of the…

A:

Q: At which of the five points on the graph in the figure are first and second derivative both…

A: We need to choose the point at which both 1st and 2nd derivative is positive.

Q: Use the Implicit Function Theorem to find the derivatives: a. Find for the equation x² + y - 4 =…

A:

Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

A: Suppose the position of an object moving horizontally after  seconds is given by the following…

Q: For the function g whose graph is given, evaluate the following limits, if they exist. c. lim g(x)…

A:

Q: √x + 4 In(9-x) Determine where f(x) is continuous, algebraically. (Enter your answer using interval…

A: We have,  f(x) = √(x+4) /ln(9-x)