Find the area of the surface obtained by rotating the curve from x = = 0 to x 5 about the y-axis. = y=1+2 2

Q: show that $(x, y, z) = 8²4 PDE : 2²4 дуг дуг + 1 2 x² + y² + z² 824 dz² satisfies the

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Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A: Given.

Q: 7. sech²(Inx) dx X

A: Let's solve given integral.

Q: 7. Compute the area of the region R enclosed by the curves y = x² - 1 and y = 1- x.

A: We have to find out the area

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Q: The graph shown is f(x) = 1⁄x². Y 5 4+ 3 2+ 1 + 54 3-2-11 1 2 3 4 5 -2 -3- 4 -5 X If g(x) = f* f(t)…

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Q: Suppose that P₂(x) = a + bx + cx² is the second degree Taylor polynomial for the function f about x…

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Q: Cπ/2 sin² 3x dx

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Q: - b) Find the area between the 2 curves f(x) = x² + 4- 4x and x- with the two lines=5&x= 2. axes and…

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Q: ¹ ( 7 (x − 3)). Consider the function f(x) = 4sin((x-3) +6. State the amplitude A, period P, and…

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Q: A: f'(√) = -2. B: f'(√) = -1. C: f'(√) = √√. D: f'(√) = 1. E: f'(√) = 2. If fr. 70 f(t) dt =…

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Q: PART I. DIFFERENTIALS Using differentials approximate the value of the following 5. √64.05

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Q: Given that f(z) = z-z where does f'(z) exist

A: Concept: z  is represented as  z=x+iy And its complement z¯ z¯=x-iy For f'(z) to exits only if…

Q: Find the area of the region enclosed by the curves y =

A: answer is in next  step

Q: adx + bxydy - ydx = -xyelny dy

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Q: x² tan-¹x dx

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Q: Je* cos x dx ex

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Q: whats next the pattern 6 13 24 51 142

A: whats next the pattern 6 13 24 51 142

Q: Find the general Solution of the following PDES • з Их + 2 Иу , u(x,c) = чех (3У-2х)12 ans3- исх, у)…

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Q: Given the region R on the right, a. Using vertical strip, SET UP the double integral that will solve…

A: This question is related to double integration, we will solve it using given information.

Q: Use the angle in the unit circle to find the value of the three trigonometric functions below. 1 2…

A: Topic = Trigonometry

Q: Se (cot By 34 - πT) dy

A: On solving this we will get

Q: 2. Evaluate the Integrals using the Fundamental Theorem of Calculus. 1. S/4 cos x dx π/4 2. ¹₁ sec²…

A: First I have written the Fundamental theorem of Calculus, using it for given integral and find its…

Q: 8. Find the volume of the solid obtained by rotating the region R enclosed by y = x² and y = 2 - x²…

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Q: Given m = 6, n = 1, and v = ⟨–4, 7⟩, what is v(n –m)? Show your work for full credit.

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Q: 3. Set-up the iterated double integral in polar coordinates that gives the volume of the solid…

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Q: 15.) X (2x+5) 2 dx

A: Indefinite integral

Q: 4 Find the general Solution of the following PDES • з Их + 2 Иу -Х ucx, c) - че 2 (зу-2х)12 ans3-…

A: To find the general solution of the given PDE .

Q: 5. By considering the derivative of the function f : [-1,-1] → R defined by f(x) = show that f-¹…

A: Concept: inverse function: An inverse function, sometimes known as an anti function, is a function…

Q: 5. Find and classify (local max., min. or saddle point) all critical points for f(x,y) = x³ − y² +…

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Q: y = u√u-1 u = 2x² - 1

A: Given problem:- Find derivative  y=u√(u-1) , u=2x2-1

Q: Find the derivative of the exponential function. y = x2ex − 2xex + 4ex

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Q: The illustration below shows the graph of y as a function of x. Determine the kind of function…

A: Explanation of the answer is as follows

Q: Find the Taylor series centered at c = -1. f(x) = e4x Identify the correct expansion. 42-4 -(x + 1)"…

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Q: A rectangular classroom has length that is 1 meter more than 2 times the width. Find the dimensions…

A: Given  Perimeter  of rectangle = 32m Now, let the length be 'L' and the width be 'W'. According to…

Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

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Q: Q2/ prove [A] [A] = [I] if [2 4 -5 [A]= 2 7 1 3 4

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Q: NEED ASAP A business sells 2000 units of a product per month at a price of Php500 each. It can sell…

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Q: Identify the surfaces of the following equations by converting them into equations in the Cartesian…

A: Converting into Cartesian form

Q: At which of the following x-values does the function shown below have positive slope? Select all…

A: topic- increasing and decreasing values of function

Q: In x -2 x dx

A: Given: I=∫12lnxx2dx   Apply the integration by parts to solve the given integral. ∫udv=u·v-∫vdu

Q: Question Using the definition of a derivative, find f'(x) given f(x) = -x³+4x² + 4x + 2. (Do not…

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Q: Give example of strongly convergence in Functional Analysis

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Q: The radius r and height h of a cylinder are changing with time. At the instant in question, r = 4…

A: Given problem:- The radius r and height h of a cylinder are changing with time. At the instant in…

Q: PART III. CRITICAL POINTS & POLYNOMIAL CURVE TRACING 1. Find the CP of this equation and classify it…

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Q: Consider the function f(x)=2 sin (4(x-3)) +6. State the amplitude A, period P, and midline. State…

A: Given:       fx= 2 sinπ4x-3+6

Q: Find the solution of the given initial value problem in explicit form. 7x y' = , y(0) = -9 y + x²y…

A: In this question, we will solve the given IVP.

Q: 2. Find the area bounded by the two curves y=x²-6x²+ 8x and y = x² - 4x.

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Q: the normal line of the surface [z = (4x^2 + y^2] at the point (1,1,5) O 8x-2y+z=5 O 8x+2y+z=5…

A: We have to find the normal line of the surface.

Q: Find the derivative of the following functions by using the limit definition of the derivative.…

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