Find the CP of the following and classify it using FDT and SDT y = 2x^3 +9x^2-13

Q: Use Cartesian coordinates to evaluate SSS y² dv av where D is the tetrahedron in the first octant…

A: Given D is the tetrahedron in the first octant bounded by the coordinate planes and the plane 2x +…

Q: Consider the following families of sets indexed by the set of natural numbers. i which among these…

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Q: Find the slope of the tangent line to the polar curve r = 1 + cos(0) at the point specified by 0 =…

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Q: f cos4x dx

A: According to guidelines, we must answer only one of the multiple questions given.So I answered only…

Q: 1-Using the Castigliano method, a) Calculate the slope at point A b) Calculate the displacement at…

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Q: If f(x) = 5x(sin x + cos x), what is f'(x)?

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Q: Find the values of x for which the given function has a maximum or a minimum value using the First…

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Q: A normal line is a line that is perpendicular to the tangent line which touches a curve at one poin…

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Q: f(x) = √√/5x+8 What is the derivative of f(x)?

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Q: Consider the function f(x)= = x² + 7x + 12 -2 a. Find the first derivative. f'(x) = b. List any…

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Q: A normal line is a line that is perpendicular to the tangent line which touches a curve at one point…

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Q: What is the second derivative of the function y = -6 sin x cos x where x is? Round your answer to…

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Q: For the curve xy + x2y - xy² = 1, use implicit differentiation to find the equations of the tangent…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: • show that ф (x, y, z) = 8²4 PDE: аф + дуг дуг x2 +у2 +Z2 го деф ?72 satisfies the

A: The given function is;  Phi(x,y,z)=1/sqrt(x2+y2+z2).

Q: Problem 4. (. Let C be the curve given by parametric equations x(t) = t², y(t) = 2t, z(t) = lnt, t€…

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Q: find the volume of the solid generated if the area bounded by the curves is revolved about an…

A: We need to find volume.

Q: of 14 that Suppose newly-baked cupcakes are taken out of the oven which is set at 100 degrees. Room…

A: We will use Newton's law of cooling to solve this question.

Q: e dx + (2y + xe") dy = 0

A: Given ey dx+2y+xey dy=0 Here M=ey and N=2y+xey ∂M∂y=ey  , ∂N∂x=ey Therefore,   ∂M∂y=∂N∂x is exact…

Q: Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the following…

A: I have just use the methods and easily find the all solutions. Main solutions are in the boxes.

Q: If f(x) = 5x(sin x + cos x), what is f'(x)? O 5 (sin(x) + cos(x)) -5x (cos(x) - sin(x)) No correct…

A: Derivative of product: ddxuv=udvdx+vdudx

Q: дz For z = x² + xy³ ; x = uv² + w², y = u + vew, find when u = 2, v = 1, and w=0 Əw

A: z=x2xy3, x=uv2+w2, y=u+ve2at u=2, v=1 and w=0, x=2×12+0=2y=2+1e0=2

Q: 27. Given f(x)= F(D)=2 (X+) (x-1) A. I only B. II only x² -1 2 6 x #1 x = 1 I. II. III. e shituse…

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Q: An open-box (top open) is made from a rectangular material of dimensions a = 8 inches by b = 6…

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Q: Problem 4. (. Let C be the curve given by parametric equations r(t) = 1², y(t) = 2t, z(t) = ln t, t€…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: 8. Evaluate 9. Evaluate 10. Evaluate cot²x dx (sin x + x) dx cosx J dx sin² x

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Q: Let f be defined at all real values of x and x = -3 is one of its critical numbers. If f" (x) = 2x +…

A: Given, f is defined at all real values of x. x=-3 is one of the critical points. f"(x)=2x+1

Q: A fish is reeled in at a rate of 4.0 feet per second from a point 10 feet above the water (see…

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Q: Question 12 ( What is the function of cos that has an amplitude of 4 a period of at (0,2)? and has a…

A: Given:  Amplitude = 4   Period = 2π  POINT : ( 0 , 2 )

Q: Find a scalar equation for the plane that contains the points P, Q and R

A: We know that equation of plane passing through three points A(x1,y1,z1),B(x2,y2,z2), C(x3,y3,z3)  is…

Q: Problem 4. (. Let C be the curve given by parametric equations x(t) = t², z(t) = lnt, t€ (-∞0, +∞0).…

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Q: S 7. Evaluate 8. Evaluate 9. Evaluate (cos x - sin x) dx cot²x dx (sin x + x) dx

A: Given problems:- Solve the following using the theorems on differentiation. 7. ∫ (cos(x) -sin(x) dx…

Q: 3. Set up the iterated double integral in polar coordinates that gives the volume of the solid…

A: We have to find the volume of the given in polar coordinates.

Q: COLUMN A 17. To each person on the earth assign the number which corresponds to his age. 18. To each…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: s projected that x years from now the population of a certain city will be changing at the rate of…

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Q: Find the general Solution of the following PDES Du -5X -3x = 2 +4, исx; c) = 32 + 2e du ду 3e Dx…

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Q: Find a line that is parallel to the line that passes through both P and Q and contains R.

A: We have to find the equation of line.   According to our guidelines we can solve only one question…

Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: We have to set up the integral for volume.

Q: The area common to the circle > = 3 and the cardioid r = 3(1 - cos 9).

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Q: d the characteristic equation of the matrix by inspection. -4 2 67 -5 0 0 0 60 0 03] e…

A: As we have see that given matrix is upper diagonal matrix and we also now that eigen values of upper…

Q: Given the function f(x) = 5x(sin x + cosa) what is f' (4)? O No correct answer O -1.996 O -2.99 Ⓒ…

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Q: 3. fz √z dz 4. (2x² 3x + 5) dx -

A: 3. ∫zzdz4. ∫2x2-3x+5dx

Q: An inner-city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

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Q: Solve this using the given-required-solution format. Show a complete calculation without using

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Q: Consider the function f(x) = 3 - 3x², − 4 ≤ x ≤ 1. The absolute maximum value is and this occurs at…

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Q: 5x Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=- to x=-₁ 4 (A) 3.667…

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Q: The scalar equation of the line perpendicular to (x, y) = (5, 2) +r(1, -3) through the point (2, -2)…

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Q: A ladder 13 ft long leans against a vertical wall. If the top slides down at 3 ft/s, how fast is the…

A: Follow the procedure given below.

Q: Solve the following using the inverse matrix method: (Show your solution) 13 3x + 2y 5 x + 4y 5x + y…

A: As per bartleby guidelines we only give first question answers.

Q: (y² + xy) dx-x² dy = 0, when x = 1, y = 1

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

Q: x² - 5y²-3x -y +22=0 (y-2)(x-y-2) = 0

A: Given