1. Function f is continuous on (-00,00). Find constant k. f(x) [kx² + 2x x-kx if x ≥ 2 if x < 2

Q: Let f(x, y, z)= = fz(x, y, z)= fy(x, y, z)= fz(x, y, z)= 2² - 2y² I y² + 4z² Then

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Q: . Finish showing the Complementary Slackness Theorem by establishing that under the hypothesis of…

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Q: A white wine at room temperature 70° F is chilled in ice (32°F). If it takes 15 minutes for the wine…

A: Given that , Room Temperature T0=32°F

Q: Use an appropriate area formula to find the area of the triangle with the given side lengths. a = 14…

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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A: The indicated function y1x is a solution of the given differential equation.By using the reduction…

Q: Complete the description of the piecewise function graphed below. 6 5 4 4 if m-fi { f(x) = -2 if 3…

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Q: Find the derivative of f(x) = (2x+1)³(3x - 1)³. Show all your work and factor the result completely

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Q: aU: Calculate the derivative of function is not differentiable at an explain in your own words why…

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Q: u = -7i - 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. -6 2 (b) Find the vector…

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Q: Consider the parallelepiped with adjacent edges u = 5i + 2j + k v=i+j+ 7k w = i + 9j + 5k Find the…

A: Given, u=5i+2j+k,v=i+j+7k,w=i+9j+5k.

Q: X: 1 2 Y: 2 4 3456 7 9 12 14 What is the correlation coefficient for variables x and y? a..950 b.…

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Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and…

A: Topic = Coordinate geometry

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = x4 –…

A: Here is the solution:

Q: Find the solution of the given initial value problem: y (4) + 2y"+y = 3t+6; y(0) = y'(0) = 0, y" (0)…

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Q: Sketch the graph of the inverse function. -B Ау B- (2,3175) Q ✔ Choose the correct graph below. O A.…

A: The given graph is

Q: 1. Given the following expression: 27 81 3 9 + + 10 100 1000 10000 a) Using sigma notation, write…

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Q: Find the orthogonal trajectory for the family of circles with center at (-2,3) and draw the…

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Q: State the restriction on the domain and then find the inverse of the function. f(x) = x² - 6x Domain…

A: The given function is fx=x2-6x

Q: TryMaryviar yıvıar Question 9 of 10 Find the equations of the tangent lines to the graph of y=x2+6…

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Q: es The bearing of a ship from a lighthouse was found to be N 16° E. After the ship sailed 7.3 miles…

A: This question is based on use of Sine law.

Q: If z=5x^2+y^2 and (x,y) changes from (1,2) to (1.05,2.1), compare the values of delta z and dz.

A: Given that        z=5x2+y2 changes from (1,2) to (1.05,2.1)  We have to derive value of Δz and dz .…

Q: Find the Cartesian coordinates of the given point: (r, 0) = (√3, 4). OA) (₁ (1/2, 1/³) 2 ○ (³,²) B)…

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Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

A: To find the critical points of the following function. By using the Second Derivative Test to…

Q: NOTE: Enter the exact answers in terms of i, j and k. (a) Same direction as 2i + 5j. -2 √29 u v (b)…

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Q: Please

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Q: 8.6 EXERCISES In Problems 1-10, classify each singular point (real or complex) of the given equation…

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Q: Find a general solution (implicit if necessary, explicit if possible) of the differential dy…

A: The given differential equation is dydx=2xy

Q: Evaluate cos A. -1 COS Select the correct choice below and, if necessary, fill in the answer box to…

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Q: 2. Determine whether or not the series converges. State clearly the test you use, and show all…

A: We have to check the convergence

Q: A white wine at room temperature 70° F is chilled in ice (32°F). If it takes 15 minutes for the wine…

A: *Differential equation model :- Newton's Law of heating.

Q: y= 2x³-27 3x4 - 2x Find dy da

A: Given: y=2x5-x33x4-2xTo Find: To find dydx.

Q: In Problems 11-14, find the first three nonzero terms in the power series expansion for the product…

A: given that      f(x) = sinx = ∑k=0∞-1k2k+1! x2k+1                          gx=cosx = ∑k=0∞-1k2k!…

Q: 3. A white wine at room temperature 70° F is chilled in ice (32°F). If it takes 15 minutes for the…

A: The solution is given below

Q: Find the gradient of the function at the given point. g(x, y) = 6xe/x, (17, 0) Vg(17,0) =

A: Given problem:- find the gradient of the function at point (17,0) of g(x,y)=6xey/x

Q: n zise me gebrac ve do chang Find the extreme values of the function and where they occur. y = x³ -…

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Q: The graph below is the function f(x) t lim →-3 lim I-3+ lim 5+ 4 → 3 N WA -3 -2 -1 -1 3 2 Find the…

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Q: Let F be the vector field defined by F(r.y) -. Evaluate the following line integral with and without…

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Q: Determine whether the series converges or diverges. Select the correct answer. O diverges Oneither O…

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Q: s ide Jan and Jim started hiking from the same location at the same time. Jan hiked at 2 mph with a…

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Q: Find the polar coordinates, 0 0, of the point given in Cartesian coordinates: (4, −4). OA) OB)…

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Q: 7. A cylindrical tank, buried on its side, has radius 3 feet and length 10 feet. It is filled…

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Q: Consider the function. f(x, y) = 4 -1/3-2/4/20 Find Vf(x, y). Vf(x, y) =

A: Given :fx,y=4-x5-y4

Q: Find the general solution of the given second-order differential equation. y" - 6y' + 10y = 0 y(x) =

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Q: I 44. Solve the initial value problem: EL y""-2y"-y' + 2y = 0; y(0) = 2, y'(0) = 3, y"(0) = 5.

A: The solution is given below

Q: Use spherical coordinates to evaluate the triple integral [[[ 2² + 3² + 2²dV, where E is the ball:…

A: We will first change it into spherical coordinate and then solve it.

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 4ex - 3 y(x) =

A: We need to solve D.E.

Q: 3 5 58 a. A-¹BT Given A = and B = -2 -5 3 7 find

A: Solution is given below:

Q: Consider the following planes. 3x + 2y z = 28 x - 4y + 2z = 0 (a) Find the angle between the two…

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Q: Evaluate the following integral: Sºa dx -00x²+1

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