4 -2 -3 -4 1 At the point shown on the function above, which of the following is true? O f'>0 and f"> 0 O f'< 0 and f" < 0 O f'<0 and f">0 O f'> 0 and f"<0

Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region underneath…

A: SOLUTION:-   We need to use the Shell Method to compute the volume of the solid obtained by rotating…

Q: Write the sum without using sigma notation. n Σ(-1)² + 2x³² j = 1

A: Summation means  Putting j=1,2,3.......n

Q: Express the limit as a definite integral on the given interval. lim n → ∞

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Q: 1. A 60cm by 40cm piece of tin has a square cut out of each corner, and then the sides are

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A: The given curve is:x(t)=t2+6t+2     and      y(t)=e-4  ;        0≤t≤1

Q: log₂ x²

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Q: a. Use limits to find the derivative function f' for the function f. b. Evaluate f'(a) for the given…

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Q: Show that the function Y₂ (0, 6) = (5/16m)¹/2 (3 cos² 0-1) is normalized over the interval 0 ≤0 ≤…

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Q: Find the polar coordinates, -≤0 < and r≤0, of the following points given in Cartesian coordinates.…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 8x [(ellx + e- x) dx

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Q: 1. Determine if the values of the variables listed are solutions of the system of equations. 3x + 3y…

A: System of equations:3x+3y+4z=24x-y-z=04y-4z=-36x=3, y=-3, z=6; (3, -3, 6)

Q: Use Green's Theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

A: Fx,y=e2x+x2y, e2y-x2y   C is the circle x2+y2=4 oriented clockwise. Here r=2

Q: 10 -3e -3e* sin(t-s) ds

A:

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A: tanθ  is undefined        and        sinθ&lt;0

Q: Use cylindrical coordinates to find the volume of the solid. solid inside the sphere x² + y² + z² =…

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Q: Find m such that the function y= Aex satisfies the equation 2y"=y'+y

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Q: Evaluate (x+y-22) dV where E= {(x, y, z) | -5 ≤ y ≤0,0≤x≤y, 0 <z<x+y²} E

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Q: 23. r 4 sin 0, r = 2

A: Given curves are r = 4-4sin theta r=4. Red line shows the graph of r=4 and blue line shows the graph…

Q: Q.3 Solve given Exact D. E 11; (2xy-3) d₂ + (x²+4y) dy=0; y(1)=2₁ T 12. २.

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Q: The function f(x) = −2x³+42x² −270x +9 has one local minimum and one local maximum. This function…

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Q: FQ3 - Please help with this question - thank you!

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Q: The top and bottom margins of a poster are 2 cm and the side margins are each 6 cm. If the area of…

A: Let the width of the printed area= x And the height of the printed area=y  Area of the printed…

Q: 2. Solve the system of equations. If the system has no solution, say that it is inconsistent. 16x -…

A: for solving given problem:

Q: 62x(x2-1)30 dx

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Q: Use the fact that e0.3 <e <3 and 1

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Q: Please explain the rules applied in each step of the solution

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Q: Find all the antiderivatives of the following function. Check your work by taking the derivative.…

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Q: Use symmetry to evaluate the following integral. 5 S (9+x+x² + x³) dx -5 5 √ (9+x+x² + x³) dx = [ -5…

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Q: Consider the function f(x) = 3-6x² on the interval [-5, 5]. (A) Find the average or mean slope of…

A: fx=3-6x2

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Q: Find the average value of f(x,y)=xy over the region bounded by y=x² and y=56x.

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Q: y=(2√√x-3)(6-5x²)

A: y=2x-36-5x4

Q: Suppose that ƒ(x) and g(x) are two functions and we know that: ƒ(-3) = 2 g(-3) = 5 ƒ'(−3) = −1…

A: Suppose that fx and gx are two functions and we know that,  f-3=2g-3=5f'-3=-1g'-3=-2 To find the…

Q: Solve the given system of equations. If the system has no solution, say that is it inconsistent. x-…

A: x-y=24x-2z=304y+z=12

Q: Find the volume of the solid obtained by rotating the region underneath the graph of the function…

A: ⇒ given  f(x)=x2+9,   [0,1]formula of volume(V) is→⇒ V=∫ab2πxf(x)dx

Q: - Find the mzC C 14 cm

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Q: Find f(x) if f(1) = 1 and the tangent line at (x, f(x)) has slope 4/x

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Q: 2. dx y²-y-dy=0

A: To solve the following differential equation. x+1x2+2x-7dx-y-2y2-4y-5dy=0

Q: (ії, dy + da зу = 3а2 е-зи

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Q: Evaluate the iterated integral 02 SS -3-2 (17x+10y + 14)dx dy.

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Q: Find the area of the region bounded by the graphs of the given equations. 2 y=9x-x², y=x

A: By the answering guidelines of Bartleby, We can answer only first question from multiple questions,…

Q: Let h(x) be a function continuous on R. You are given the following graph of h'(x). 7-1-01T 1 1 1 1…

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Q: Find the area of the region bounded by: r = 5 cos(20) 0 ≤ 0 ≤ 2π

A: Given;

Q: y = -45 + + x6 x7 Using calculus give a sketch of y. Make sure you include the following include the…

A: y = -45 + 2x6 + 120x7 Domain, The denominator cannot be 0. Therefore, x ≠ 0x ∈ (-∞, 0) ∪ (0, ∞)…

Q: Find an antiderivative of the following function by trial and error. Check your answer by…

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Q: PROBLEM NUMBER 13 Evaluate 28-625 +423-2 24 1³ dz.

A: let  J=∫(z8-6z5+4z3-2z4)dz

Q: Given three non-zero vectors, a, b & C, is it possible to evaluate a b Explain with an example. •6•²

A: We have given three non-zero vector.