Evaluate: 5° (-0.45)'(-1)10+i 212- 3D1

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = = arctan 2, (9,…

A: Follow the procedure given below.

Q: fy = e2" 2-3 , then find y" at x = 0 Enter your answer as a decimal

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Q: Find the solutions of the system of inequalities by graphing: 2x – y 0

A: We can solve this as follows:

Q: 5. x3 + 2x – 6 dx x4 + 2x2

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Q: A bacteria culture initially contains 3000 bacteria and doubles every half hour. Find the size of…

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Q: 6. Find the critical point(s) of f(x) = -9+ x². Use the Second Derivative Test to determine if the…

A: 6)f(x)=-9+x2Diifferentiatef'(x)=2xFor critical points f'(x)=02x=0x=0Substitute x=0 in…

Q: 1.lf f(x) and g(x) are continuous functions, then SIF(x) ·g(x)] dæ S f(x) dæ · ƒ g(x) dæ. 2.lf G(x)…

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Q: Verify that the trigonometric equation is an identity. cot a cs a =tan a + sec a csc a %3D sin a + 1…

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Q: Set-up the integral for the area A(R) of the region R bounded by the circles y2 + x² = 4, and y2 +…

A: Region bounded by two circle in fourth quadrant

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

A: Given :r(t)=F(t)+G(t), where F(t)=costi - sin tj +6tkG(t)=2 costi + sin tjTo find : The domain of…

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A: We have to calculate the given indefinite integral according to the given information

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: Item # 6. 15 pts Suppose that a population of bacteria for an experiment increases according to the…

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Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved…

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Q: . Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x - y + z =…

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Q: By the series test: n=1 n´ +6n+3 6.

A: To determine whether the given series converges or diverges.∑n=1∞5n2+6n+3

Q: The function defined by x2 if r 0 is continuous at a = 0. Determine the left- and right-hand…

A: We have to check our function is differentiable at x=0 or not

Q: PART C dy 12. Show that dx 2 for the relation %3D V%3D10, x, y X. # 0. y

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Q: yA (b) Economists study two functions: R(1) and C(r) which are the revenue and cost when r units of…

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Q: Evaluate the inclepinite infegral Cos 3X +3 dx Sin 3x

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = x' + x + 1,…

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Q: Consider f (x) and f" (x) = 40(x – 1)e-*, Determine all the following for the function. = 10xe -2x…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: dr Let A be the area of a circle with radius r. If dt dA when r = 5. dt 5, find 50 Question Help:…

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Q: A farmer has 1200 meters of fence and wants to construct a rectangular pasture. The pasture will be…

A: Explanation of the answer is as follows

Q: plve the following related rates and optimization problems. We want to build a greenhouse that has a…

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Q: Solve the following. Show the step-by-step solution. 1. Find the equation of the tangent line and…

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Q: coskry) Im .y)- y-5

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Q: 1. In the differential equation (x+2y-1)dx+(2x+4y-3dy -0, we let the substitution

A: In the differential equation (x+2y-1)dx+(2x+4y-3)dy=0. we let the substitution W=?

Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs…

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Q: Find the area of the region enclosed by the rose r = 18 cos 30. NOTE: Enter the exact answer.

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Q: Find the solutions of the system of inequalities by graphing: x + y > –1; 2x + y < -3

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Q: Determine whether the following series is convergent or divergente: (- 1)" n = 1 n'+5

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Q: The series E, an is convergente then the series E(an) is also convergente Select one: True O False…

A: 1.The series ∑k=1∞an is convergent then the series ∑k=1∞an2 is also convergent.2.If ∑n=0∞an is…

Q: Integrate: 2x +3_ dx' 1. dx (2x "5)(xt5) 2.

A: A detailed solution is given below

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

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Q: (2x + y)dx– 3(2x+ y+4)dy = 0

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Q: f(x) = x√4-x2

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Q: Rewrite the polar equation r = 2 sin(0) as a Cartesian equation.

A: A detailed solution is given below

Q: A spring has a normal length of 10 inches. It has also been determined that its spring constant is…

A: Given that a spring has a normal length of 10 inches. It has also been determined that its spring…

Q: Evaluate the iterated integral by converting to polar coordinates. (x² + y?)3/2 dy dx dr de = Jo

A: Follow the procedure given below.

Q: x³(1 – x²)² 2 4y = in (1+x²)²

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Q: Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x-y+z=2 and…

A: General equation of plane is taken and given planes are used.

Q: Write this compound statement in symbolic form: 'A triangle is an equilateral triangle if and only…

A: 'A triangle is an equilateral triangle if and only if it is an equiangular triangle' Let , P: A…

Q: Find dy/dx for  a.) y=xx+3

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Q: Find the gradient of the function at the given point. g(x, y) = 6xeYlx, (14,0) Vg(14, 0) :

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Q: C. Given that log, 2 = 0.693, log, 3 1.099, and log, 5 1.609, find each of the following, if…

A: Given that,  logb2≈0.693, logb3≈1.099, logb5≈1.609 We need to find the value of each of the below…

Q: 8. - Evaluate | 1 dx 1+x а. d. none of the choices b. 1/ 2 е. -co с. f.

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Q: 5. In antidifferentiation, the formula § x" dx + Cis valid if? %3D (n+1) А. nER В. п# 1,п€ R С. п€…

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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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