Aylindrical can has a volume of 167 cm³. Use Lagrange multipliers to determine the dimensions of the can that yield the minimum surface area. The radius of the can with the minimum surface area is The height of the can with the minimum surface area is cm. cm.

Q: Which function has Maclaurin series (-1)"2""? n:o OAI OB 8. 2/7/2 Oc O D. TIZE D.E. 2

A: The given series: ∑n=0∞-1n2nxn

Q: Answer the following True or False. If g(x) is a continuous function and h(x) is differentiable such…

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Q: Q3. Find the distance between the points AB and BC where A is (2,1,0), B is (-1,3,1) and C is (-1,…

A: The points A2,1,0, B-1,3,1 and C-1,0,1 we have to find the distance between the points AB and BC…

Q: a) b 5. c) [ 4x²-3x+2 dx. x Evaluate f Solve the initial value problem = cost-2 sint, z(0) = dt Find…

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Q: Find the speed of the object whose position function is given by F(t) = (4t² - 1, 4t - 2, t³ + 6t)…

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Q: 14. Given the graph of g(x), Draw the graph of g-¹(x). Show your strategy for drawing the graph of…

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Q: What is the form of the particular solutiony for the P differential equation y" - y = R(x) where…

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Q: Let a = (-5, 1, 2) and 6 = (2, - 1,3). Find the angle between the vector (in radians) Check Answer

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Q: 5. Find using first principles the slope of the tangent to f(x) = x² + 6x + 9 at x = -3.

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Q: π 7. fz sin¹x cos¹ x dx

A: To evaluate the following integral by using Walli's formula.∫0π2 sin4 x cos4 x dx

Q: Find the area A of the shaded region of the cardioid r = 9 - 9 cos (0) . 3 -X The cardioid (Express…

A: This is application of integration problem

Q: 1. Which of the following functions grows the fastest as x goes to infinity? O 2x О 3x O Ox20 ex

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Q: The function f is shown below. What is the value of answer in simplest form. -10-9-8 5 4 3 2 11 8 6…

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Q: 5x+3 2x² + 4x+7 -2 dx

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Q: se the limit definition to find the instantaneous rate of change of f(x) = 3x^2 - 4x at x= -3.

A: The instanteneous rate of change of a function f(x) at x=a is the limit of the average rate of…

Q: I have a question about the problem solved…

A: The explanation of your query can be solved using the concept of function.

Q: Consider the function f(t) = 5 sec²(t) — 9t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

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Q: a. Find the antiderivative of f(t) = 7x + 6x³ - 8x² - 6. Justify your response.

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Q: Evaluate the integral: Fa ○ x = 6 sin(0) ○ x = 36 tan(0) 28 x²√x² + 36 dx (A) Which trig…

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Q: 1. cos50 sin³0 de TL 2

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Q: Q2. Find the second order partial derivative of x² - y² + 2xz - xy + yz.

A: The given function is x2-y2+2xz-xy+yz.

Q: Use cylindrical coordinates to calculate: Sw(x² + y²) dV = [[[_x² + y²³ av W: x² + y² ≤64, 0≤ z ≤ 16

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Q: Find the arc length (s) of the curve r(t) = (est, -2e5t, 3e5t) for 0 ≤ t ≤ In (2) 8=

A: The arc length s of the curve r→t=x(t), y(t), z(t) for a≤t≤b is given by s = ∫abx'(t)2+y'(t)2+z'(t)2…

Q: What form of the particular solution is appropriate for the differential equationy "'- y'=4? A B C D…

A: To determine the form of the particular solution that is appropriate for the differential equation…

Q: Pls answer fast 2+2

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Q: tim X-1 2 x² + ax +b = 2 find 9, and b a, X² + X=2

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Q: You are taking a road trip in a car without A/C. The temperture in the car is 105 degrees F. You buy…

A: Above question is solved.

Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for…

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Q: 4. 5⁰ -x² xe dx

A: Given Problem:- ∫0∞xe-x2dx

Q: 3 Suppose ff(x) dx = 4 and f g (x) dx = 3. f(x and 19 (a) da = 3 1 3 Evaluate f (3 f (x) – 4 g(x))…

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Q: (a) Find an affine change of coordinates that takes the unit square with vertices in the uv-plane to…

A: (a) The vertices of uv-plane is given as , P*=0,0 , Q*=1,0 , R*=0,1 , S*=1,1 and the vertices of…

Q: Calculate the derivative using Part 2 of the Fundamental Theorem of Calculus. Enclose arguments of…

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Q: Find the area enclosed by the lemniscate with equation ² Choose your limits of integration…

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Q: Differentiate the following function. You do not need to simplify the derivative. f(x) = (lnx)5…

A: Geven : f ( x ) = ( ln x ) 5 To find : Derivative f ' ( x ) = ?

Q: Let f be a continuous function such that 10 1 of f(x) dx? 4 What is the value of 4 8 f(x) dx 10 1²°…

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Q: 3) Find the equation of the curve whose arclength from the point (4, 1) to the point (9, -1) is…

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Q: sin(x - a) lim x→a 2(x²-a²)

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Q: 8) FIND THE INTERVAL OF CONVERGENCE FOR Σ (-1)" x 1=2 n2^ n

A: The given series: ∑n=2∞-1nxnn2nWe need to find the interval of convergence.

Q: Using logarithmic differentiation, find the derivative of e-3x √√2x-5 (6-524 f(x) =

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: √x+9 at x = 0. Write your answer in the form a+bx+cnx" n=2 where a, b, and each cn are constants.…

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Q: 2. Solve the differential equation dx for y = f(x) with the initial condition y(0) = 2.

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Q: Let v = 37 - 47 + 2k. Find ||||. Check Answer

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Q: Find SS₁² 6x d.A over the region R = {(x, y) | 0≤x≤ 2,0 ≤ y ≤ 5} by identifying it as the volume of…

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Q: What is the perimeter of an equilateral triangle inscribed in a circle with a diameter of 20 cm?

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Q: ✓ ["1 [™ f(a)da - [* f(x)dx = - Sª f(x)dx and b where a = If what are the bounds of integration for…

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Q: 2 √9x²-16 x² dx

A: We will use substitute method to solve the integration

Q: er of cars produced when a dollars is spent on labor and y dollars is spent on capital invested by 1…

A: Topic:- application of derivatives

Q: Let v = 27 + 3 + 5k. Find ||||. Check Answer

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. (2423-4x) dx = [

A: Here we will solve the indefinite integral,

Q: Find the indefinite integral on the domain of positive real numbers. Enter an exact answer. Remember…

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