Approximate the critical numbers of the function on the open interval shown in at each critical number. (Enter your answers from smallest to largest.) y 2 2 8 --Select-- --Select-- ---Select-- 6. 4,

Q: Find Duf at P. f(x,y,z)=4x^3y^3z^3;  P(1,−2,1);  u=13i+23j−23k

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Q: Evaluate the integral. (Definite Integrals 6 r dr 15) V16+ 3r2

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Q: af when r = 2, t =- 1 of the function ar 4. Use the Chain Rule to find- f(x, y, z) = e3xy² cos 2xyz…

A: This is a problem related to chain rule for differentiation. Based on the formula we will find out…

Q: In a certain environment, a colony of bacteria grows according to the model A = A0e^0.06t, where A…

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Q: 1. Budgeting for least cost. A manufacturing company pro- duces two models of an HDTV per week, xr…

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Q: 2)tind the third degree Taylor polynomial Is (x) centered at a= I forr the function f (x)= 2

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Q: Prove from the precise definition of a limit: lim x = 4 x-2

A: We have to solve the limit using definition.

Q: Find the limit. Use L'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: Find the location at t = 3 of a particle whose path satisfies dr 14t 4 dt (t + 1)² r(0) = (8,5) (Use…

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

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Q: 2. Evaluate the following limits. /x²+3 d. lim X-0- X

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Q: Find the seventh term of the geometric sequence from the given information. Express the term as an…

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Q: Find the limit. Use L'Hospital's Rule where appropriate.If there is a more elementary method,…

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Q: 2. Differentiate the following function: y = Jo tan 2x Hs dt. 1+t3

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Q: Eind the conorel ond norticulor solution of the linoor first order oguot

A: Given query is to find the solution of the differential equation.

Q: Question A tank is shaped like an upside-down square pyramid, with base of 2 m by 2 m and a height…

A: The volume of square pyramid with side of base a and height h is given by, V=13a2h At any height the…

Q: A particle is moving with acceleration a(t)= 18t+4 its position at time t= 0 is s(0) = 5 and its…

A: Given query is to find the position of the partical at t = 4.

Q: (a) Write a nonrecursive formula for the term of the arithmetic squence a based on the given…

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Q: Find the derivative of the function. g(t) = e-2/t g'(t) = Need Help? Read It O Show My Work…

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Q: Let i = (– 4, 4, 5) and i = (6, – 3, – 2). %3D • Hint

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Q: Evaluate the integral. -241 15 given, 7 x²dx = xdx = dx = 1. O 36 O -146 O -114 0 4 O -61

A: Given query is to find the value of the integral.

Q: Use the first derivative test to find the location of all local extrema in the interval (1,7) for…

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Q: Find the fifth term of the geometric sequence from the given information. Express the term as an…

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Q: Determine whether the function is​ one-to-one. If it​ is, find a formula for its inverse.…

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Q: For what value of k does the equation kx2 -4x + k = 0 has two equal real roots?

A: Given, kx²-4x+k=0 a=k b=-4 c=k

Q: Evaluate the integral using Integration by Parts. (Use symbolic notation and fractions where…

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Q: Sa413 - 3x5/2) dx x4/3, 5)

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Q: Question A vertical cylinder is leaking water at a rate of 5 m²/sec. If the cylinder has a height of…

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Q: 28. f,(2,4) if f(x, y) = x* In y

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Q: Find the distance between the parallel planes – 2x + y + z = 0 and - 10x – 5y – 5z – 11 = 0. - NOTE:…

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Q: Tutorial Exercise Find the sum. 4(k + 1)²(k – 4) k = 0 Step 1 Recall the definition of summation…

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Q: Find the directional derivative of f at Pin the direction of a. f(x, y) = 6x*y²; P(1, 4); a = 12 i –…

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Q: Culculate the iterated întegreat T/2

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Q: Refer to the graph in the textbook. If x screwdrivers produced in thousands, and y represents the…

A: The total cost of producing 20 thousands of screwdrivers is 20,000 dollars

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: Let g be a function that is defined for all x, x # 2, such that g(3)% = 4 and the derivative of g is…

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Q: Find an equation of the plane through(-4, 4, – 4) that is perpendicular to the planes 9x – y + z = 9…

A: Given,            The plane passes through -4,4,-4 that is perpendicular to the planes…

Q: Let a = ci + j and b = 4i + 32j. Find c so that a and b are orthogonal. %3D i

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2. (2x– 3y +1)dx - (3x + 2y – 4)dy = 0 |

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Q: DIFFERENTIAL EQUATIONS Solve the following application problems. *show the every details of your…

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Q: Find an equation of the plane through (-8, 6, - 6) that is perpendicular to the planes 9x - y + z =…

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Q: . Prove the following using the epsilon-delta definition of a limit. b. lim x² = 4 X→2

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Q: . Use separable equations to find the general and particular solution of xy dx – (x +

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Q: Find the distance between the skew lines: x = 9+ 6t, y = 5 + 6t, z = 7 – 6t y = 7, x = 7 – t, z = 6…

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) x²…

A: The given curves are y1=x2+2x+5  &  y2=2x+15

Q: Set up and evaluate the integral for finding the area and moments about the x- and y-axes for the…

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Q: Evaluate the integral. S(-241 - s)at 3 xdx = 2 15 given, a'dr = x²dx = dx = 1, O -36 O -146 O -114 0…

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Q: Solve the differential equation. dP 3 Р(4) — 20 dx Using sqrt{t} for Vt. P(t)= 6sqrt{t} +8 O P(t)=…

A: Given query is to solve the differential equation.

Q: x2 1. Let f(x) = 3Vx² – 1 and g(x) x4 – 81 (a) Determine the domain of f and g. (b) Compute gof and…

A: Find domain.  According to guidelines we solve only first question.

Q: (x – 3y + 3)dx + (3x + y + 9)dy = 0

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