Find the derivative of the function at Po in the direction of A. f(x,y,z) = 3 ex cos (yz), Po(0,0,0), A=i+5j + 4k

Q: Let g be a function such that g'(x) = x (x - 3). Complete the following arguments to get all…

A: Given, g'(x) = x(x-3) We have to find the extrema from the second derivative test.

Q: 16. Evaluate cos(sin¯¹-1) O 0 O ㅠ O 1 O -1

A: Value of Sin(-π/2) is -1

Q: Find the equation for the tangent plane and the normal line at the point Po(1,1,3) on the surface…

A: Given problem:- Find the equation for the tangent plane and the normal line at the point Po(1,1,3)…

Q: (a) Using the power series representation of 1 1 + x find a power series representation of In(1 + x)

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Q: Find the center of mass of a thin plate of constant density & covering the given region. The region…

A: Let's find center of mass.

Q: What is the exact area bounded by the curve f(x) = 1/2 X and the x-axis on the interval [1, 8]?…

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Q: In how many ways can a committee of 5 people be chosen out of 9 people?

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Q: The area of the region bounded by the curve y = x² and the line y = 16 64/3 256/3 128/3 32/3

A: Given :   y=x2 y=16

Q: Refer to the given figure, if ABCD and m/2 = m25= 70°, complete the table by finding the measures of…

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Q: If the population of a city is 155,000. If the population declines continuously by 5% per year, what…

A: Given query is to find the attached population after 15 years.

Q: Find the volume of the solid generated by the revolving Shaded about region the 7-axis 1 0.5 X =…

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Q: Find the minimum and maximum values of the function y = 2x² - 12x + 1 on the interval [0, 7] by…

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Q: M8 n=1 3 n 4 n* + 4

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Q: Find the equation of the line tangent to 2exy = x + y at the point (2, 0) Write the equation in…

A: Given query is to find the equation of the tangent at given point.

Q: sin² x lim 0-x X

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: A piece of cardboard measuring 8 inches by 14 inches is formed into an open-top box by cutting…

A: Question- A piece of cardboard measuring 8 inches by 14 inches is formed into an open-top box by…

Q: Find the derivative of a composite function using the Chain Rule or General Power Rule.  1.) y=…

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Q: Using vectors, find the area of the triangle with vertices P(5, -1, -3), Q(7, 2, -4), and R(6, 1,…

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Q: In 1000 5 X limx→ +00 X

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Q: 3. A spherical balloon is inflated at a rate of 100 cm3 /sec. How fast is the radius changing when…

A: We know that volume of the balloon is V=43πr3                          (1) Given that Spherical…

Q: 7x Find the linearization L(x,y) of the function f(x,y) = e cos (9y) at the points (0,0) and 0, ¹2…

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Q: 4. Determine whether the following statements are True or False? y = f(x)

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Q: dx 1. S √3x²–2x+1 2 2. √₁² √√x² - 4x + 8

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Q: Find the derivative of the function at Po in the direction of A. f(x,y)=-3xy + 5y², P₁(-10,2),…

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Q: (1 + x³) dy - x² y dx = 0, when x = 1, y = 2

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Q: Find the absolute extrema of the function y = √x - 9 on the interval [9, 45].

A: To find the absolute extrema of the function y=x-9 on the interval 9, 45.

Q: 3. A particle moving along the x-axis has velocity function v(t) = t²e-t. How far does the particle…

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Q: Problem #10] A kite 100 ft above the ground is being blown away from the person holding its string…

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Q: You are to form 3-digit numbers from the digits 1 to 5. How many 3 digit numbers can be formed if a)…

A: Solution of given question is written in below steps.

Q: Given: vector-valued function Ř(t) = (3 cos 2t, 9t, −3 sin 2t) 1. Reparametrize R using the directed…

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Q: f(x) = (x² − 9) -

A: Given :f(x)=x2-923

Q: Consider the initial-value problem y' = 8x³y, y (2) = 5 Solve the initial-value problem to find the…

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Q: Find the largest triangle that can be inscribed in the ellipse (x2/a2)+(y2/b2)=1 using Lagrange…

A: answer is in next step

Q: Evaluate each limit if exist lim x -> 0 (\sqrt(x+7)- \sqrt(7-x))/(2x) lim x ->3…

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Q: əz Let z = x² + y³, x = 2st and y = s-t². Compute for and ar

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Q: c) y sin 53x =

A: Given :y=sin53x

Q: If you make an investment of $4,500 and the investment earns an annual interest rate of 2.7%, how…

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Q: Let f be continuous on [a,b] and differentiable on (a,b). Prove that if f'(x)>0 for all x=(a,b) then…

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Q: 1. Find the general indefinite integral. 5e + 3 sin x dx (b) ["be²

A: We have to solve this given integral . For this first we solve the general indefinite integral &…

Q: 2. Evaluate the integrals. (a) S (b) [9rc (c) J (d) O 1+ e²r 9x cot(x²)dx -do -dx cos sin² 0 +1 -dx…

A: As per the guidelines we can solve 3 parts only

Q: F- 2x-7 h(a) √√x +3 the function Find the Domain (11) Range of (11) Show wheather the function is…

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Q: Find all critical points of the function f(x) = x³ − ²/1x² − 54x + 10. (Use symbolic notation and…

A: answer is in next step

Q: Find the area under of equation x +y = 3, From x = 1 to x = 3.

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Q: Find the absolute maximum and minimum of the function f(x,y) = 2x² - 4x + y² - 4y +6 on the closed…

A: Solution: f(x,y)=2x2-4x+y2-4y+6 the vertices of the triangle by joining the given lines are (0,0)…

Q: 3 Let f(x)=x* — x³. Determine the intervals where the function is - increasing/decreasing and…

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Q: y = у 3x-1 x2+3

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Q: 5. Find the limit using algebraic techniques. The limit of f(x) = 14 1/13 14 7 x²-49 as x approaches…

A: We have to find out limit

Q: . Find the derivative of a composite function using the Chain Rule or General Power Rule. 1.)…

A: As per the company's guidelines, we are supposed to solve first three sub-parts for you, kindly…

Q: 3) Using the trafe boich unte, find the following integrats 2 Ⓒ S x lnx d x Aslo 1

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Q: What is the period of the graph below? sto 8+ 7+ 6+ him

A: As we can see graph  Function repeat his value after every 4 point .