Find the area of the surface obtained by rotating the curve x = /16 – y², 0

Q: find eigenualy gse for -57 to -구 -4 26

A: I have appended the formula used in the solution part.

Q: 3x2+2 dx 0 2x2+4x+3 In |2| 2 In |3| 2 Option 1 Option 2 In |3| 2 In |2| 3 Option 3 Option 4

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Q: 4-x 16-x²-y2 Fx*+y° dzdy dx

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Q: Find the derivative of the function. 11) y = cos x4 A) dy -4 sin x 4 B) dY - sin x4 dx C) dy - -4x4…

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Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

A: topic- slope of the tangent line at given value of x

Q: 8. Evaluate * y" – 3y' + 2y = e3t ; y(0) = y'(0) = 0 e2t -e3t + 2 et 23t -e2t + 2et 2 O A. e3t -e2t…

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Q: Find the particular solution of the differentlal equation that satisfies the Initial condition(s).…

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Q: 10) y = e³ In x A) dy In x 3x3 In x dx dy - 4x² , dy D) dx 3x3 x³ dx +1

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Q: dy Find when 2x? + 3x°y – 3y3 = 32. dx dy dx The slope of the tangent line to this curve at the…

A: Take the derivative with respect to x using chain rule of derivative.

Q: Suppose F(4) = 2, F(5) 7, and F'(x) = f(x). - (x° + 10f(x) + 1) dæ

A: Follow the procedure given below.

Q: [1 2 1] Given A = 2 3 1 4 0 1] x, C =-2 1 o and D=[2 1 4]. 5 B =-2 w 3 4 2 y 3 z [-2 a (a) Find the…

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Q: The value of the triple integral I| 4xydV where E is the region 2x2 + 2y – 7 and pounded by z = z =…

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Q: How many passwords can be made if each password a sequence of 4 uppercase flowed by a consonant…

A: number of uppercase = 26 number of consonant = 21  Number of digits = 10

Q: 6. Evaluate each expression. a) 16-'x 25 b) (-27)5 c) 160.75

A: Given

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Q: dy =-2x tan y, 1- y(0) = 1/2. dx 2- 2 ydx CSOS 3- e*dx-ydy 0, y(0) = 1

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Q: A power representation of the function f(x) = for-1 < x <1 is 1-x Select one: 9n 9n 9n O none of…

A: The given function f(x)=11-x9 for -1&lt;x&lt;1

Q: Question 4 dx 1 O sec (e² – 1) +C O sec-l(e*) + C sec (e – 1) + C sec™' (e") + C « Previous Quiz…

A: The integration of the integral is 1/sqrt(e2x-1).

Q: (31) Use Newton's Method to make the second approximation r2 to the solution of 2e = ex. Take x1 =…

A: Leibnitz Rule of differentiation: ddx∫α(x)β(x) f(x,t) dt  = ∫α(x)β(x) d(f(x,t))dx dt +dβxdx f(x,βx)…

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Q: d Cos(2) (32) Find the derivative: dx V1 – t?dt

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Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.3 cm/min.…

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Q: Find the area of the region bounded by the graphs of y2 = 5 – x and y2 = 4x.   Please put a…

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Q: Q3): If x fx + yfy = nf show that x²fxx + 2xyfxy + y² fyy = n(n – 1)f %3D

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Q: 2 + In? x -dx x(1 – In x)2

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Q: Find the cofactor of the element a22- 3 4 4 - 2 -1 1 1 4 1 О А. -8 О в. 8 С. - 1 O D. 1

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Q: Evaluate the following indefinite integral. dt t In(t) Note: Don't forget your C! And be sure to use…

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Q: I Discuss the properties of the curve and sketch fully: a) y = x² e-x 1+lnx b) y = -

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Q: (29) Evaluate the integral: csc² rdx. r/4

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Q: fin the area bounded by y=x^3+1 and y=x+1

A: topic - area bounded by curves

Q: The limit lim x · In cos エ→0 is an indeterminate form of type 0 ·o. Select one: O True O False

A: LetL=limx→∞ xlncos1xL=∞.ln(cos(1∞))L=∞.ln(cos(0))L=∞.ln(1))L=∞.0Which is undefine

Q: The graph below is the function f(x) 구 -8 -7 -6 -5 -4 -3 \2 -1 -2 -3 -4 -7 of lim f(x) = x → - X…

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Q: For the points P and Q, find the coordinates of the midpoint of the segment PQ. P(-2, - 2), Q(4,2) O…

A: The given two points are P-2,-2 and Q4,2.We need to find the coordinates of the midpoint of the…

Q: Solve y' = y3 cos x (Show clear work!)

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Q: A right triangle has side lengths 3, 4, and 5 as shown below. Use these lengths to find tan M, cos…

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Q: Sketch the graph of g(x) = 2Vx + Vx. Support your graph by a table. %3D

A: i am providing the graph and tabular values in step 2

Q: Find the derivative of (2r+1)= (x) 8 For the toolbar. press ALT+F10 (PC) or ALT+FN+FT BIY S…

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Q: 8. Find the inverse function of: f(x) =- 64

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Q: 8 Given a function: f(x): (х-7)(х-1)

A: Given: limx→58x-5x-1

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Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the…

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Q: y = 5x2 – 3x – 4 | | Finding the derivative of y: y = 5x? – 3x – 4 y' = 10x – 3 Finding the…

A: A detailed solution is given below.

Q: 13. A and B are unit vectors with an angle of 45° between them. Calculate the value of A - 2B Round…

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Q: [[ 12y dA; R is bounded by y = 2-r, y = VT, and y = 0.

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Q: 8) Find the limit (exact value) a) lim Vy - 3y – y ytoo tan ax b) lim- x→0 sin bx (a ±0,b± 0)

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Q: A sample of 250 grams of radioactive substance decays according to the function A(t) = 250 e 035t…

A: This question is based on substitution.

Q: the solid obtained by revolving the region bound ed by Find the volume OF about the X - axis the 2…

A: The region bounded by the x-axis, y=x2,x=0,x=2 is: