2. Find the directional derivative of o = yx2 +x²z + 3xyz in the direction of vector n = î + 2 ŷ -2·

Q: Given a function f(x,y) = x* + 2y + 8xy – 7 The critical points of f(x,y) occur at the points P(0 ,…

A: A point (a,b) is said to be a saddle point of f(x,y) if at (a,b)(fxxfyy)-(fxy)²<0 A point (a,b)…

Q: A region bounded by f(x) = V4-x² ,y= 0, and x = 0 is shown below. %D Find the volume of the solid…

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Q: 4 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -2 -4 -5 -64 The graph above is a transformation of the function x…

A: Topic:- function

Q: a.) Evaleiate. (6tanx dx

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Q: x2 In solving for the antiderivative of f(x) = Fusing trigonometric substitution, Jf(x)dx is…

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Q: Find a general term (as a function of the variable n) for the sequence…

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Q: 253 Ux_ dx

A: Use substitution method to solve the integral

Q: 3x'e* (x* +1)* 3e a) -+C 2(x² +1) 3e* b) 2(x² +1) +C x? +3 x +1 3 c) +C .2

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Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 2 %3D y + 5 =…

A: The given question has been solved in detail.

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y²,…

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Q: 2 -/2x+1 Let F(x,y) = C be the antiderivative of f(x) = . What is the value of C if x=16 and y=19?…

A: Here is the solution

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ - y, P(6,…

A: As we know that; The expression for the directional derivative of the function f in the direction of…

Q: Q-2: [1 2 1] a) Let E = |0 1 3. Find all values of r for which E has inverse. Find, if 1 0 rl…

A: As per as our guidelines i am supposed to answer only one question please repost remaining question…

Q: The function h(t) represents the height of a ball above the ground (measured in feet) in terms of…

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Q: th Use the ri"-term test to find wether the fottowing Sexies exe divergent or not- n+2

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Q: dy d. dx = y(xy3 – 1)

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Q: The integral expression J xsin-(2x)dx can be evaluated using integration by parts Judv= uv- Jvdu Let…

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Q: Write the polynomial as the product of linear factors. f(x) %3D х* — 81 = X f(x) : List all the…

A: We have to find linear factor of given function after that we have to find zeros of the function.

Q: Determine whether the following equation represents an exponential growth or exponential decay.…

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Q: Consider f(x,y) =x'+y* +2ry-x+5. Find its critical points and use the second partials test to…

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Q: Let A=[0 1 0 0 0 1 4 -17 8 ] Show that x = 4 is a root of det(A - xI) = 0. Hence find the other…

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Q: A jet plane travels 2 times the speed of a commercial airplane. The distance between Vancouver and…

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

Q: Evaluate the following definite integrals. Show your solut 1. S eva -dx 2. So sin³ Od0

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Q: A rope is attached to a boat at water level, and a man on the dock is pulling on the d) rope at the…

A: Draw a schematic diagram of given figure.

Q: 4. Given the graph of f(x) below, sketch the graph of f'(x) and explain how you arrived at your…

A: The graph is drawn by free hand.

Q: with the limit definition of a derivative find the derivative of g(x) = (x-1)^2 + 1

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Q: Let f(x) = 3,/a If g(x) is the graph of f(x) shifted down 1 units and left 3 units, write a formula…

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Q: Calculate the moments My and My and the center of mass of a lamina with the given density and shape.…

A: Let's find.

Q: determine the values of p such that the function f(x)= px4+x3+x2 will have: A. 0 possible…

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Q: Find the equation of the line tangent to the curve f(x) = 2/(x+2) at x=0

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Q: f) 3rd derivative of y : sin 3x g) Find if yVx – 8 = xy +2. if yvx – 8 = xy + 2. dx

A: Note: As in questions d and e no instruction is given solved f and g for you.

Q: Maximize the function f(x, y) = 3xy– 4x² – 3x – 5y + 12 subject to the constraint 3x + 4y = 5 Find…

A: To find the maximum of the given function wuth the given  constraint .

Q: а. f(-3) %— 4 b. f'(0) = %3D 3 2 c. f'(3) = %3D d. f'(2) -5 –4 –3 -2 –1 1 2 3 4 5

A: To find: f'(-3), f'(0),f'(3),f'(2) Given information: The graph of f(x) is shown below.

Q: Consider the function f(x) x - 2x2 - 4x + 1 on the interval [-1, 3]. Find f'(x). F'(x) = 3x – 4x – 4…

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Q: y(x) = tan(v/3x² + In(5x*) %3D

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Q: Which of the following is a complete list of possible inflection points for F(x) = 3xe4x A. 2 1 4 1…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 8, (1, 4, 2) (b)…

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Q: The count in a bacteria culture was 500 after 20 minutes and 1100 after 40 minutes. Assuming the…

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Q: Which of the following is true? - Scot*(x)csc°(x)dx = - csc (x) 2csc7(x) csc°(x) + C 9. 7 B All for…

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Q: 1) Find the derivatives of the following. Simplify your final answers. d) l(x) = tanh-1 x + In v1 –…

A: Part d,Given,           lx=tanh-1x+ln1-x2To find : Find the derivative of the given function.

Q: 6 Time Taken: Mins Secs The effectiveness of a certain medical injection is modeled by E(t) =…

A: We have to find the time when reading become sufficient and when reading become too low..

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

A: To evalaue the given limit.limx→01+7x-1-4xx

Q: Let f(x,y) = C be the antiderivative of F(x) = x²cos(2x), Determine the value of C if x = 18 and y=…

A: We know that antiderivative of a function is same as indefinite Integral of that function.

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x2 – x - In(x) - X (a)…

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Q: The population of a pod of bottlenose dolphins is modeled by the function A ( t) 8(2)t , where t is…

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Q: Let x = 1.57 and y = 4.55. Determine the value of C when you evaluate J cot-(2x)dx. (use radian form…

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Q: - y? = 4x, x = 0 to x = 4 %3D

A: To find the area of the region bounded by the given curves.

Q: In this question, you'll use the limit comparison test to determine whether 8n – 9n2 + 10 Σ an…

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Q: x dx |-7-8X-x²

A: This question can be solved using the concept of some special integrals.

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y², (12,…

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