6. Use the method of Lagrange multipliers to find the points on the Sphere are closest to x² + y² + 2² = 36 that and farthest from the point (1,2,2)

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A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

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A: if we put x=0 it is 00  form there for use l'hospital rule limx→0(2x+1)2-16x=limx→0∂…

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A: Given 223÷72

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Q: Determine a vector equation for a line that goes through the following points: (-8, 7, 8) and (-10,…

A: Determine a vector equation for a line that goes through the following points: (-8, 7, 8) and (-10,…

Q: Show if the following limits produce an indeterminate form. Then, evaluate the following limits.…

A: according to guide line we do only firt part . please re post other part 1)   limx→01+x-1-x2x2if we…

Q: S.S. X x Arcsin y 4 yª dydx

A: Reverse order

Q: Question Using Desmos, plot the point -1, 5TT 3 in the polar plane.

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Q: 17. 8 Σ n=1 (−1)" x" na η

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Q: 4. Find the first and second derivatives of the function: f(x)=√x².

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Q: Question <++++ -10 -8 -6 -4 -2 Select the correct answer below: Ox(t) = -2t, y(t) = et + 3 Ox(t) =…

A: To determine the sets of parametric equations that define the given curve.

Q: For the sequence an its first term is its second term is its third term is its fourth term is (-1)"7…

A: an=(-1)n7n2for first term put n=1

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A: Consider the following parametric curve.x=sin4t+cost, y=cos4t-sintTo find dydx.To find the value of…

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A: NOTE: Refresh your page if you can't see any equations. .

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Q: Evaluate. Be sure to check by differentiating. f. X 10 10 +9 +9 f. dx=0 (Type an exact answer. Use…

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Q: Let x and y be two positive numbers whose sum is 175. Determine the values of x and y such that (x +…

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Q: (1-3p)² p4 .dp

A: Solve the integral

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Q: Suppose f(t) = 5t² + t + 3. Evaluate: lim f(t) = t→-2

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Q: Let F = . Calculate the divergence of F and - - find point P where div(F) = 0. P=

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Q: The first derivative of a continuous function y = f(x) is y' = x(x − 3)². Find y' and then use the…

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Q: Evaluate the surface integral positive (outward) orientation. SS.F. F. ds for the given vector field…

A: Let's find flux across S.

Q: Consider the following. x = 5 cos(6), y = sec²(8), 0≤8</ (a) Eliminate the parameter to find a…

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Q: Evaluate the definite integrals using substitution 1.) ²3√5x-1dx

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Q: The number of people P that are contracting a new disease can be modeled by the population virus…

A: To determine the rate at which the disease is spreading

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A: Given query is to find the gradient of the line.

Q: -45 + 7(x + 2) - 6x (no justification needed) = -45+ (7x + 14) - 6x = -45+ (14 + 7x) - 6x = (-45 +…

A: Part 2 Given that , -45+7x+2-6x For each step, use a property of the real numbers.

Q: and and simplify the expression and yd Booze (Cos+isin)³ ress the answer in standard form, a + bi.

A: Given query is to find the a+ib form.

Q: Evaluate. 2 √2x dx

A: Our Aim is to evaluate the integral given below:-∫022x dx -(i)

Q: f(x) = 2x + 3 and g(x) = 3x + 2 then g°f(x) =

A: Given query is to find indicated composite function.

Q: Find the value of if the limit exists. 3x - 15 lim x+5√√x - √5 1. limit 8√5 2. limit 30 3. limit =…

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Q: Find and dy dx x = 3t - 3ln(t), dx dy dt' dt y = 8t² - 8t-2

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Q: r(t) = m with -∞ < t <∞

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Q: -3.4 0.4 murunin xex dx ound mol

A: given integration is  ∫0.43.4xe-xdx here   N=6 here  b = 3.4     and  a = 0.4   and f(x)=xe-x so…

Q: Calculate the flux v out of the ball x² + y² + z² = 1 given that v(x, y, z) = 3zi+2yj+2 zk. a) 28T…

A: Please see the below picture for detailed solution.

Q: If the common ratio is 0.6, what is the percent change?

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Q: D Question 13 The sum of two numbers is b. If the product of one number and the other number raised…

A: We will find the required.

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Q: Evaluate the geometric series or state that it diverges. 8 Σe-2n n=0 Select the correct choice below…

A: Given sereis:- ∑n=0∞e-2n

Q: 2. (D4 + + 5D² +4) y cos (3x +4)

A: We need to solve D.E.

Q: 1 Solve for the differential of y when y=sin (1x). x= 3 and dx = N|H

A: The given function y=sinπx. We have to find the value of the differential dy, when x=13 and dx=12.

Q: 15. Let f(x): = 4 e 1 and g(x)= 3x x + 5 Find the domain of (fg)(x).

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Q: For f(x,y) = Inx+y³, find f (e5,9). 1(e5.9) -

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Q: = Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: Σ n=1 5 n(n+1) 1 (-2)] (Hint: use partial fractions)

A: To find the convergence and divergence of given series.

Q: Use the Divergence Test to determine whether the following series diverges or state that the test is…

A: