4: Show yor work. a) 1: Find the exact area of the surface obtained by rotating the curve y? +x =5, 3

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A: We need to set up surface area integral.

Q: 6. S COSX dx sin2x

A: Solving the problem by finding the value of the integral.   NOTE :: As per our Expert guidelines we…

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Q: lim X - 9 3

A: Solving the problem by finding the value of the limit.   NOTE :: As per our Expert guidelines we are…

Q: The value C for the solution of the initial value problem f'(x) = r - 7r + 3, given that f(0) = 0.…

A: We have to find value of c

Q: E- Use the chain rule to express dy / dx in terms of x and y: a) y=7+1 and t=2x+1 1 b) y=7+1 and x=…

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Q: Sketch the solid whose volume is given by the integral and evaluate the integral. * T/2 '17 – r2 r…

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Q: 00 12x Find a power series for f(x) , ]x| < 1 in the form an. (x? + n=1 Hint: First, find the power…

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Q: The antiderivative of the function 4 + 10x is. x2 f(æ) = 4 + 5.0x2 + c - -4 5.0x2 + c -10 + 2.0x2 +…

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Q: Why does this work? If we have the curve in the xy-plane: F (x, y) = 0, then why is the implicit…

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Q: If the formula y = a° is changed by adding one as shown in red below. Which of the following best…

A: Solve the following

Q: Determine the angle between the following two planes: −x + 6y + 3z − 6 = 0 2x + 3z − 10 = 0

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Q: ) f(x) = In(Vxe2x)

A: Given query is to find the derivative if the function.

Q: The two planes given below intersect along line l. Determine the distance from point P (2, 3, –1) to…

A: This question can be solved using the concept of line and plane in three dimensional geometry.

Q: Evaluate the following definite integral. 1 5. (2x + 7)2

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Q: Paramount Electronics has an annual profit given by P = -100,000 + 5,000q – 0.25q? dollars, where q…

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Q: .4 + 5а* + 10 сos x + 2)dx ||

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Q: Question 8 The function f has first derivative given by f'(x): What is the x-coordinate of the…

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Q: In Exercises 5 through 14, let A = (-4, -2, 4), B = (2,7,-1). C= (6, -3, 0), and D = (5, 4, -3). 6.…

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Q: Find the absolute maximum value of f(r)= x-2x+ 16 over the interval 0, 5

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Q: Suppose that a company makes and sells x phones per week, and the corresponding revenue function is…

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Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval [0, 4]

A: Use critical value and end points for absolute maxima and absolute minima.

Q: Use summation properties and formulas to rewrite and evaluate the sum. 34 60(3² – 6j + 1) j-1

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Q: An amount of $25,000 is deposited in a bank that pays interest rate of 4% year, compounded annually.…

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Q: Evaluate: (16-9+6)dt

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Q: 3. A piece of wire of length shape of an equilateral tr should the wire be cut sa a) a minimum? b) a…

A: L: length of the wirex: one piece of wire cut from length LPerimeter of the equilateral…

Q: heorem 13.9 to find the directional derivative of the function at P in the direction of the unit…

A: Given query is to find the direction derivative.

Q: Express the answers in the simplest form. Step by step. Use implicit differentiation to find the…

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides

Q: For the following system: a) Determine how, if at all, the planes intersect. b) If they do,…

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Q: A person standing close to the edge on top of a 48-foot building throws a ball vertically upward.…

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(s) :…

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Q: Find the values of the trigonometric functions of 0 from the information given. 3 O in quadrant II…

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Q: Evaluate the integral (ycoS z + 1) dydz.

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Q: (d) (e) %3D II

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Q: Use spheri\cal coordinatcs Evaluate y'zdV, where E lies above the cone 4 = /3 and below the Sphere…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: Find the area inside both curves. r = 2+ sin(20),r 2+ cos (20)

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Q: The height y (in feet) of a ball thrown by a child is 1 ,2 -x² + 6x + 5 14 y = where x is the…

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Q: 1) Are the following functions analytic? a) f(z) = z z b) f(z) = z + z?

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Q: Evaluate: (16t3 – 9t2 + 7)dt

A: ∫02 (16t3 - 9t2 +7)dt using integration [16t4/4 - 9t3/3 +7t]02 [4t4 - 3t3 +7t]02 64 - 24 + 14 54

Q: Given 0<a < 360°, find all the solutions to 2 sin? (x) = 9 sin(x) – 4. %3D

A: Given query is to find the solution of the expression.

Q: Which of the following is a solution to the equation 4 sin (x) - 2 = -4? 210 degrees and 330 degrees…

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Q: Find dx at x--3 if y-5x-2 and Do NOT Round.

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Q: 24 1 a) Evaluate J x-8xy+16y² dxdy=? 2

A: Given that the double integral  To find:- solve the double integral

Q: (4e²+7x°+5 cos z + 2)dx

A: Solve integration

Q: 3 Evaluate: (12t3 – 12t2 + 6)dt

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Q: 2) y = 3tan 3 - -2 3n 27 5n 3n 7 47 9n

A: Given query is to graph the function.

Q: If the powers of both sine and cosine are both even, what trigonometric ifentities to be used as a…

A: I am attaching image so that you understand each and every step.

Q: 25. Let OP be the position representation of vector A, 0Q be the position representation of vector…

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Q: Evaluate the integral. 1. (7 – 8v3 + 16v7) dv |

A: