Calculus Question

Q: Tind he latance from the pomt (-2, 4) to tu plane 37+2y4 6E5

A: Given a point (1, -2, 4) and a plane 3x + 2y + 6z = 5

Q: I need help solving the integral of the problem below.    ∫(√x+∛x)dx

A: Given integral can be written as

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas.   (a) integral...

A: (a) integral from 0 to 6 f(x) dx.

Q: You are designing a rectangular poster to contain 144144 in. squaredin.2 of printing with a 44​-in. ...

A: Suppose x be the height and y be the width of the paper. The margin width at the top and bottom is 4...

Q: An expecting mother wants to convert a corner of the nursery in her house into a rectangular playpen...

A: Let x and y be the dimension of the rectangular playpen. Given

Q: When records were first kept ​(t = 0), the population of a rural town was 210people. During the foll...

A: We have given

Q: integral(integral e^(x/y) dy from x to 1)dx from 0 to 1

A: To compute the double integral.

Q: Verify that 2. 1 Hint: Consider x 0, x 0 separately

A: To verify

Q: find dy/dx, y=sin(sqrt(sin(sqrt(x)))

A: Given:

Q: please help with letter e

A: (e ) Given:

Q: Compute Cixj)xk and un h Find patro of he pMane gog ingi (-i, novmetit tj 4K

A: The equation of the plane passing through the given point and perpendicular(normal) to the given vec...

Q: Find F '(x). F(x) = integral of 2/(x+8) dt in interval [x^2,0]

A: Let u=x^2 Then du/dx=2x

Q: Find the indefinite integral by the substitution method or state that it cannot be found by our subs...

A: Assume u=-x^2 From there find x*dx.

Q: #13

A: Find directional derivative of function in the direction v.

Q: Consider the following function:  F(x) = x^5 + 2x^4 Identify the following: d. Intervals where the f...

A: Part (d): Increasing and decreasing:

Q: Use the limit comparision test to determine if the series converqes 284n 357n5 277 n ba where [A] Wh...

A: Given series is 

Q: Hello, I need help answering the following question. This is in a lesson regarding antiderivatives a...

A: Given thatThe velocity of the package initially at the time of the drop = 12 ft/sec Initial height o...

Q: se washers to find the volume formed by rotating the region enclosed by:y=0.6−1.6|x−11| and y=0about...

A: The given region can be written as follows.

Q: Using a suitable variable change find

A: Refer to the question we need to solve the provided integration of region using a suitable variable ...

Q: What exactly is a derivative?

A: Derivative actually measures the steepness of the graph of a function at a particular point.Thus der...

Q: The following function is positive and negative on the given interval. 5л 2 f(x) sin 2x; a. Sketch t...

A: Choose the correct option for the given function.Part (a):

Q: x 11 48 0. Show work. 22. Solve x2 9 x 3

A: Given,

Q: Use a change of variables to evaluate the following integral cos x) sin x dx 5 -(cos 'x-5 cos x-c (c...

A: The given integral is,

Q: I have a compounded interest rate word problem:     Kimberly invested $4000 in her savings account f...

A:

Q: An equation of an ellipse is given. y2 = 1 − 3x2  find the vertex, focus, eccentricity, minor axis, ...

A: Given: -

Q: Related rates. A spherical snow ball is melting in the following way:at the instant when its radius ...

A: Given, Radius= r = 12 cm Rate of change of radius= dr/dt= - 5 cm/hour Volume of the sphere =V= (4/3)...

Q: Use newtons method to approximate a root of the equation e^(-x) = 5 + x correct to eight decimal pla...

A: Use newtons method to approximate a root of the equation e(-x) = 5 + x correct to eight decimal plac...

Q: 4.5 Can you show me all the steps to solve this problem? Directions: Evaluate the indefinite integra...

A: Assume u=3tSo, du=3dtFrom there we get dt=du/3.

Q: 4.4 Can you show me all the steps to solve 8?

A: Consider the given indefinite integral

Q: Can you help with this problem step by step?

A: Given:

Q: Let f (x) 2x3 - 24x + 2 Input the interval(s) on whichf is increasing Input the interval (s) on whic...

A: Calculation:

Q: a man, standing on top of a building that is 1,000 feet high, looks down with an angle of depression...

A: Given,The height of the building is 1000 feet.The angle of depression is 12 degree.Let AC be the hei...

Q: 10. A can of soda at 83 F. is placed in a refrigerator that maintains a constant temperature of 37 F...

A: Given,T(t) = 37 + 46e– 0.058 t

Q: HELP . Use the binomial theorem to write the first three terms:(v^2-1/2w)^12

A:

Q: f(x) dx 2, f(x)dx 10. Calculate the integral, assuming that f(x)dx= -2, (Give your answer as a whole...

A: First consider the given information:

Q: Calculus Question

A: Given matrix

Q: 1. Determine whether or not each of the following limits exists as a real number or as +oo or -oo. I...

A: According to the given information it is needed to check whether the limit of the following expressi...

Q: im confusing on how to order these letters. I think c is the largest because it's only positive area...

A:

Q: Find the extrema of f subject to the stated constraint. f(x, y, z) = x − y + z, subject to x2 + y2 ...

A: The given function is, f (x, y, z) = x – y + z  … (1)Subject to x2 + y2 + z2 = 7 … (2)Compute the ma...

Q: Can you help with this problem step by step?

A: We take h=b-a/n, and as n approaches infinity , h approaches 0.So, given equation become

Q: problem in photo attached

A: We have given the curves

Q: Please help with letters d and e. I am slightly confused because for e, although the peak should be ...

A: Given:

Q: Find the values of p for which the following series converges conditionally. The sum from k=1 to inf...

A: The given series is,

Q: Can you help with this problem step by step?

A: Given:

Q: Use the limit process to find the area of the region bounded by the graph of the function and the x-...

A: Given:

Q: If it takes 12 years and 5 months to double your money (compounded quarterly), how long would it tak...

A: To determine the time t it will take for the investment to double.

Q: The sum from k=1 to infinity of: [(5sin2k)/k!]

A: Given,

Q: Suppose that 212 f(x) (A) Find all critical values of f, compute their average, and enter it below. ...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Find the curve length of the given functions in the given interval

A: Find dx/dt and dy/dt using product rule.Then find (dx/dt)^2 and (dy/dt)^2. 

Q: 4.5 Can you show me all the steps to solve this problem? Directions: Evaluate the indefinite integra...

A: 25)Consider the given expression,