Find the arc length of the curve x = 3r², y = 4t³ on the interval 1≤t≤4. Round your answer to three decimal places. Select one: a. 89.195 b. 384.650 C. 133.793 d. 256.433 e. 259.131

Q: Suppose that f(x, y, z) = x²yz - xyz³ is a function of three variables. 1. Find the gradient of f(x,…

A: f(x,y,z)=x2yz−xyz3(1) Using the power ruleddxxn=nxn−1

Q: ☐ ☐ 1. Evaluate the Integral リ x7 خروجه 5x8 +3 dx

A: 401​ln(58+3)+CWhere C is a constant.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Let S be the part of the sphere x^2 + y^2 + z^2 = 1 that lies above the conez = sqrt(x^2 + y^2).…

A: The objective of this question is to evaluate the surface integral of the function sqrt(x^2 + y^2)…

Q: 3. (7 pts) Sketch the region bounded by the curves. Find the exact coordinates of the centroid. Show…

A: The objective of this question is to find the exact coordinates of the centroid of the region…

Q: Solve for the variable P to two decimal places. 75,600 = Pe 0.077(6)

A: P=47631.04Explanation:Step 1: Step 2: Step 3: Step 4:

Q: A company estimates that the weekly sales g of its product is related to the product's price p by…

A: SolutionA)11/5B)$2166.94C)$2276.86Explanation:Step 1: Explanation for question

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: Hey! Done below. Please ask for further clarifications:)Explanation:1.)     f(x)=cos2x=>…

Q: A retail company estimates that if it spends a thousands of dollars on advertising during the year,…

A:

Q: 1. Find the area between y intersection points. = 3x²+2x+1 and y = 7x+2. Use technology to find the

A: Area = 4.1678 square unitsExplanation:Given curves:y=3x2+2x+1y=7x+2 The curves can be plotted as…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: Carry out the indicated division and then evaluate the following integral (exact answer): +2 + 6x +…

A:

Q: Find the factors of 24

A: We need to find factor of 24.

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: To find the volume of the solid that results when the shaded region is revolved about the indicated…

Q: I need help with each section of this problem.

A: A) Option A is correct answer  B)i)7ii)7 C) Option B is correct answerN(t7)= 9Explanation:

Q: Question 9: Using the fact that i²= -1 and the identities: and cos(x)=(-1)" x2n (2n)!' n=0 x2n+1…

A: Given that To prove

Q: help

A: The average value of the function f(x) over the given interval is 3.Explanation:

Q: Calculate all four second-order partial derivatives and check that fxy = fyx. Assume the variables…

A: Please find the attached file for details....Thank you....Explanation:

Q: Evaluate √ x²ekx dx. (Helpful hint: √ ekx dx = €** + C) ekx k

A: To evaluate the following integral.

Q: A real estate office manages an apartment complex with 40 units. When the rent is $1594 per month,…

A: A real estate office manages an apartment complex with 40 units. When the rent is $1594 per…

Q: 4. Find the inverse of the function, s(t) = √3 - t² - 6

A: To find the inverse of a function y=f(x) , use the following steps .Let y= f(x)Swap the variables x…

Q: Exercise 1.- Calculate the mean value of the function f(x) = 3x² + ½ in the nterval [-2,2] and…

A: Mean Value Theorem for Integrals: If is continuous on the closed interval and differentiable on…

Q: Find the surface area of revolution by rotating y=sqrt(x) where x is on (0,4) about the x axis

A: The surface area of revolution of curve  about x axis over the interval is The given curve equation…

Q: Q.2

A: The answer is given below.Explanation:

Q: Let P = (a, b, c), Q = (b,a, c) and R = (c, b, a), where a, b, c € Z. (c) Find the Cartesian…

A: The objective of the question is to find the Cartesian equation of the plane containing the points…

Q: e^0.006x= 25 = 536.48 what is 536.48 rounded to four decimal places?

A: Answer : 536.4793  (Rounded to four decimal places)Explanation: Given,  e0.006x=25 Logarithm on both…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Question 3Answer : option DQuestion 4Answer : option D none of the above Explanation:Step 1:Question…

Q: Find a rational function that may have the given graphs.

A: R(x) = {-4(x+3)(x -2)^2}/{(x- 4)(x+2)^2}Explanation:Step 1 -The numerator of a rational function…

Q: For time t = 0, the velocity of a particle moving along the x-axis is given by v(t) = cos(8e-0.2t).…

A: Given that the velocity of a particle moving x-axis is and initial position at

Q: help

A: a. 605b. 600Explanation:a. The average value of a function is found by taking the integral of the…

Q: Now, we can find the revenue function by multiplying the price function by the quantity function and…

A: Revenue function can be obtained by multiplying the price function by the quantity function.

Q: Let 4xyz = e². Əz Əz Use partial derivatives to calculate and მე მყ and enter your answers as…

A:

Q: Suppose that the Quick-Fix Car Service franchise finds that the income generated by its stores can…

A: Therefore, the required answer is $2,802,379Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Find the solution of the differential equation d² y 3. +4- dx2 dy dx - 4y = 0 a. y= Ae -3x 2x + Be²x…

A: b. y=Ae32x​+Be−2xExplanation:Step 1:Step 2: Step 3: Step 4:

Q: Let f(x, y, z) = xy + z and x = s³t, y = st², and z = st. -

A: f(x,y,z)=x4y4+z and x=s3t,y=st2, and z=st. Using the power ruleddxxn=nxn−1

Q: πT 0 3 2 4 tan(x) sec(x) * dx_ ´

A:

Q: Find the volume of revolution by rotating the region bounded by y=4^x, y=0,x=0,x=2 about the line…

A: Region is bounded by y=4x,y=0,x=0,x=2Rotating the region about y=−1Using the washer method

Q: A company that services a number of vending machines considers its income as a continuous stream…

A: To find the income from the stream over the next 8 years, we need to integrate the function f(t)…

Q: Newton’s law of cooling states that the rate of change of the temperature of an object is…

A: The objective of the question is to show that the function u(t) = T(t) - Tomg, where T(t) is the…

Q: please solve this

A: Ans :  Volume = 2.24 cubic units ( approximating upto 2 decimal places)Explanation:Explaination:

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's rule to approximate the integral with n -…

A:

Q: Show that the function (f : [0, infinity) -> R given by f(x) = e^{2x} - 2e^x + 2 ] has an inverse…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Please review and solve problem 2 and explain how the answer was found. Problem will be attached to…

A: answer is attached below if you find it helpful please provide the same Explanation:

Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

A: The surface are is  2π∫03​3x31+x4​​dx=258.85Explanation:Steps and explanations are as follows:In…

Q: Suppose for a particular commodity, & = 0.33 and that currently 50,000 units are selling for $6…

A:

Q: let f(x) = x^6 (x-7)^7/(x^2+7)^9 find the derivitive

A: The objective of this question is to find the derivative of the function f(x) = (x^6 * (x-7)^7) /…

Q: Find volume by revolving the region bounded by y=sin(x) and y=0 between x=0 , x=pi about the y axis…

A: To find volume by revolving the region bounded by between  about the y-axis by using shell method.

Q: 1. a) The diameter of a balloon, d, is decreasing at the rate of 0.3 cm/s while the height, h, is…

A: The diameter of a balloon, d, is decreasing at the rate of 0.3 cm/s while the height,h, is…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Solution is attachedExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Suppose a baby food company has determined that its total revenue R for its food is given by  R =…

A: A production level of 35 thousand units will maximize revenue.Explanation:To find the production…

Q: For the equation sin x = cos(5x), use the Newton-Raphson method to find an approximate solution. Use…

A: To apply the Newton-Raphson method to find an approximate solution to the equation sin(x) = cos(5x)…