Σ N 3 | n² 3 2 (n + 1)²

Q: When the cross product between any two vector is zero then these vectors are perpendicular Ignore…

A: Give statement "When the cross product between any two vectors is zero then these vectors are…

Q: 29 Find the area under the curve y = from x = 1 to x = t. Evaluate the area under the curve for t =…

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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: Let (f : [0, infinity) -> R be an arbitrary continuous function, which is differentiable on…

A: The objective of this question is to prove that a function f(x), which is continuous and…

Q: Find dy dx y=9lnx+5 loggx

A: The objective of the question is to find the derivative of the function y = 9ln(x) + 5log(g(x)) with…

Q: Problem 3. Show that the volume of the largest parallelpiped (i.e., rectangular prism with sides…

A: V = 8abc / 3√3Explanation:Here's how we can find the volume of the largest inscribed…

Q: C(q)=560+ 15g, where q is hundreds of units sold/produced, while R(q) and C(q) are in total dollars…

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Q: 6) The region bounded by y= √x, y=2, x=0 is revolved about the x-axis to generate a solid, its…

A: The objective of this question is to find the volume of the solid generated when the region bounded…

Q: Find the equation of the tangent plane to the surfaceln(x3 + y3 + z3) = x2z + 1at the point (1, 1,…

A: The objective of this question is to find the equation of the tangent plane to the given surface at…

Q: Consider the following. -2 15 10 y f(x)=16 (4, 16) 5 g(x) = x² x 2 4 (a) Form the integral that…

A: a. ∫04​(16−x2)dx​b. 3128​Explanation:In the graph, we can find the area between 2 curves using the…

Q: Find a set of parametric equations for the rectangular equation y=4x-2.

A: Given a rectangular equationy=4x−2To find: parametric equations

Q: Suppose u and v are differentiable functions of x. Use the given values of the functions and their…

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Q: A spherical balloon is inflating with helium at a rate of 80x ft³/min. How fast is the balloon's…

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Q: At time t, the position of a body moving along the s-axis is s=13-2112 +144t m. Find the body's…

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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: Let an and ag = 9. n+1 a) Determine whether the given equation is explicit or recursive. The…

A: Recursive means a function that repeats or uses its own previous term to calculate next terms forms…

Q: To complete the process legible

A: The answer is shown.Explanation:Step 1:

Q: Let f(x)=3x³-5x²-2, x≥ 1.5. Find the value of df at the point x=248 = f(5). dx df The value of dx 1…

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Q: Housing Prices Going into the Real Estate Bubble The following table shows the average percentage…

A: The objective of the question is to identify the unique values of X, which represents the percentage…

Q: Can you do part (b) ?

A: The solution is given below please refer to the solution  and if you have any doubt with regards to…

Q: Simplify. CSCX CSCX CO Use algebra and the fun mental trigonometric identities. Your answer should…

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Q: sine and cosine to which variable it should correspond to?

A: Clockwise Motion: If a particle moves clockwise around a circle, the angle it makes with the…

Q: Σ COS n=1 пп 2

A: Given that the series is

Q: Find f'(x). f(x)=2x-Inx³

A: f′(x)=2−x3​Explanation:

Q: ​(A) Find the instantaneous rate of change of the amount in the account after 1 ​year(s)? (B) Find…

A: The required answers are A) 925.409507 dollars per year.B) 935 dollars per year.Explanation:Step 1:…

Q: Use the Chain Rule to find the indicated partial derivatives. дл მs дл z = x² + x²y, x = s + 2t-u, y…

A: To express    dz/ds  , dz/dt and dz/du using the chain rule without substituting x and y: Apply the…

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

A: The given revenue function

Q: Using the definition, calculate the derivative of the function. Then find the values of the…

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Q: find y as a function of x if y'" + 81y' - = 0 where y(0) = 1, y'(0) = 81, y"(0) = 324

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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: All solutions of the differential equation  y' = −6 − y4  are decreasing functions.

A: The given differential equation is y' = -6 - y^4. The derivative y' represents the rate of change of…

Q: The demand curve for original Iguanawoman comics is given by q =  (398 − p)2 50       (0 ≤…

A: The objective of this question is to find the price elasticity of demand when the price is set at…

Q: Q1 The price of selling x units of item is p(x) = 56 - x. The total cost of producing a items is…

A: Question No. (1): The price of selling x units of item is . The total cost of producing x items is…

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: A. Find the equation of the line that passes through the points A(1,-1,1), B(1,2,0).

A:

Q: Use the result, "the set of parametric equations for the ellipse is x=h+a cose, y=k+b sine" to find…

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Q: Solve the initial value problem below using the method of Laplace transforms. y" + 16y= 96t² - 48t+…

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Q: Evaluate the integral. (Use C for the constant of integration.) cos dx COS -x cos-sin()+C x

A: The given integral is .We can solve this integral by integrating by parts formula method.Integration…

Q: Is f(x)=2/x-7 one to one

A: The objective of this question is to determine whether the function f(x) = 2 / (x - 7) is…

Q: If [5 - -8 A = [611] 0 " then A- 1 =

A: The objective of the question is to find the value of 'A - 1' given the equation '5 - -8A = 611'.

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

A: The whole answer is as follows: 1. Given points P, Q, and R, we aim to find the vector equation of…

Q: Consider the following. y y=x³-2x -4 -2 + 2 2 y=2x 2 (a) Find the points of intersection of the…

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

Q: round to one decimal plce.

A: To solve this problem, use the formulas for continuous compounding and annual compounding to…

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) 1-8 Inx;…

A: The objective of this question is to find the equation of the tangent line to the graph of the…

Q: Find all solutions of the equation in the interval [0, 2π). tan 20+2 sec0=-1 Write your answer in…

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Q: 4. [10 pts] The function Am is defined by Am(t) = A+ Blog(x + 10). The graph of the function goes…

A: A = -1.64386A=log20−15log20−7​ B = 6.64386B=log20−12​  Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 3x3 +5y3 lim (x,y)-(0,0) x² + y²

A: To find the following limit.

Q: Let g(x,y)=sin(8x+6y). a) Evaluate correctly g(1,−2). Answer: g(1,−2)=________ b) What is the…

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Q: уа f(x) -g(x) The area of the shaded region in the graph above is described by which of the…

A: Hence Complete the solution.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: ||| = 19:25 0% * · Natifa Hinds Today, 18:08 3. Tesla estimates that its profit expressed in…

A: Tesla's variable cost per car is $3210. Explanation:a. Tesla's Variable Cost per Car:Given that…