Find the relative maximum and minimum values. 3 3. f(x,y) =x +y° - 15xy

Q: Find the distance of the centerof gravity of the area on the first quadrant region bounded by the…

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Q: Find the relative maximum and minimum values and the saddle points. f(x.y) = 242y +x -xy

A: Using D=rt-s^2 If D >0 and r>0 then relative minima and r <0 then relative maxima  And at…

Q: A shelter rescues 4 cats for every 5 dogs. If they rescued 48 cats how many dogs did they rescue?

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Q: View Policies Current Attempt in Progress Find the area of the region inside the circle r = 30 sin 0…

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Q: Determine the area of the region bounded by y=2x^2+10 and y = 4x+16

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Q: 2. Determine whether the statement is True or False. If it is false, explain what makes it false, or…

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Q: Find the conservative vector field for the potential function by finding its gradient. f(x, y, z) =…

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Q: Evaluate JJ xy dA, where R is the region in (1, 3) (5, 3) (2, 1) (4, 1)

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Q: 3. dy Find if y 2xy - x: dx = cos X using implicit differentiat

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Q: Question 11 /4-x² c 3-x²-y² STS xdz dy dx Evaluate the iterated integral. J. J. -5+x²+y? 0, A)…

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Q: Consider the following planes. 5x + 2y – z =22 X- 4y + 2z = 0 (a) Find the angle between the two…

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Q: Use a double integral to find the volume of the indicated solid. 9. z = 9-2 y 2. y=2 4 X=4

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Q: 4 – X - 2 2 sin(x) |dx V 1 + x

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Q: Consider the following algebraic functions. F(x) = -x2 + 6x + 5 g(x) = x+ 5 Sketch and shade the…

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Q: find the equation for x in y=3x-x^3

A: Solving

Q: Fidn the sum: 2k (Write your final answer in fraction form, when applicable) A=31

A: Use the formula of summation then put the limits .

Q: Find the relative maximum and minimum values. f(xy) = e 6x2 + 4y2 + 8

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Q: Let f: R → R some function that is at least two times derivable , for f we know that f"(-1) = f"(2)…

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Q: True or False, and give a short reason: (a) If a function is differentiable, then it is continuous.…

A: Given problem:- True or False, and give a short reason:   (a) If a function is differentiable, then…

Q: Question The following telescoping series Σ en+1 en+2 - n=1 converges to e - 1

A: The given problem is solved below in detail.

Q: 1 Find the length of the arc of y= from x = 1 to x = 3. 2x

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Q: Question 14 1. 2 Evaluate the iterated integral. J, J. J. (x²+ y² + z?) dx dy dz -1°0 (А) 5 (в) з D)…

A: To find following integral valueI=∫-11∫02∫01(x2+y2+z2)dx.dy.dz

Q: Evaluate the definite integral. 14t i + e*j+t k)dt (el4 – 1) i – (e-1 – 1) j + k 1-(6" -1) + i- (e~-…

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Q: Find the area of the region inside the circle r = 30 sin 0 and outside the cardioid r = 10+ 10 sin…

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Q: The critical values f(z) = "(1- z)°, for some positive constants a and b on 10, 1[ is/are a. b. tb…

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Q: uni vectors that stâtêd coi satisly th st cônditi NOTE: Enter the exact answers in terms of i,j and…

A: Given: u=-2i+7j

Q: a 0 0 0 0b0 0 0 0 c 0 0 0 0 d Using cofactor method, prove that det M = = abcd

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Describe the graph of the equation: r = 5ti – 8j + (1 + 5t)k. [Choose the correct answer.] O The…

A: Given, r= 5ti -8j +(1+5t)k Therefore, The equation is given by, r= <0,-8,1>+t<5,0,5>

Q: FOTE: Enter the exact answer. dx dy = VT

A: A detailed solution is given below.

Q: Evaluate JJ xy dA, where R is the region in (1, 3) (5, 3) R (2, 1) (4, 1) A) 56 В) 67 с) 38 90

A: Explanation of the answer is as follows

Q: Find the limit. lim (ti – 3j + r² k) 1-2 lim (t i – 3j+r k) = i+ j+ i k %3D i

A: The question can be solved using the concept of limits.

Q: Evaluate the integral. n/2 5 cos?0 de

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Q: 4. Show that a b a +

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Q: 1. Find the equation of the tangent line to the curve x = e', y = et at t = 1.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1009 1010 Suppose R= E (2k) = 2 + 4 +6+.+2018 and S= D (2k-1) =1+3+ 5+.. + 2019 What is the value of…

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Q: Evaluate the triple integral. zy sin(yz) dV , where G is the rectangular box defined by the…

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Q: Evaluate the iterated integral. J. J, J vz dx dz dy A 45 в) 34 (© 47/3 D) 5

A: Topic = Integration

Q: V4-y? cv8-x²-y² Use cylindrical or spherical coordinates to evaluate the integral. JoJ Vx?+y? A 32…

A: To find the value of the given integral.

Q: 2.1 Find the value of x and y from the given complex equation (-2 + i)x + 2y =1+ 3i. 2.2 Write the…

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Q: Use a triple integral to find the volume of the solid in the firsy octant bounded by the coordinate…

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Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

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Q: Find the area of the region inside the circle r = 12 sin 0 and outside the cardioid r = 4+4 sin 0.…

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Q: Evaluate the iterated integral. 1 z y SS§ 9ze=v² dr dy dz

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Q: Find the volume of the solid bounded by the plane 7x + 3y + 8z = 3 in the first octant. Leave your…

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Q: 1- Show that the following subset is a subgroup. H = {o e S, lo(n) = n}cS,

A: Explanation of the answer is as follows

Q: The volume of a torus (doughnut or bagel) with an inner radius of a and an outer radius of b is V -…

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Q: Consider the curve (y2 = 9 +x) that defines y as an implicit function of x. If P (xo, yo) is the…

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Q: Use double integration to find the volume of the solid bounded by the paraboloid 2 = 9X- + y, below…

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Q: Find the area of the region bounded by the graphs of f (x) = x° and g (x) = x. (А) 1 B c) 0.5 D 3

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Q: Question * Determine the nature of convergence of the following improper integrals 00 1 dx 1+ x* A =…

A: ∫a∞f(x)dx=limR→∞∫aRf(x)dx  If the limit exists and is a finite number, we say the improper integral…