Find the measures of the angles of the triangle whose vertices are A = (- 3,0), B = (2,1), and C = (2, – 3).

Q: Find the area under the graph of the function over the interval given. 32) y =x2 +1; [0, 1] A) D)를…

A: Given :y=x2+1   0,1

Q: Given the graph of f, determine the signs of f(a), f'(a), and f"(a). + + + a b d. /f(x) f(a) is […

A: Given the graph. Determine the sign of f(a), f'(a) and f"(a).

Q: Evaluate the integrals for 16 sin²x cos²x dx

A: ∫16sin2xcos2x dx=∫4(4sin2xcos2 x) dx                                 =4∫(2sinxcos x)2 dx…

Q: Write the partial fraction decomposition of the given rational expression. (x- 3) (x + 5) What is…

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Q: Lesson 22 Solve the following. Show the step-by-step solution. A Find the area bounded by the…

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Q: s-3 F(s) = The inverse Laplace Transform of is O f() = sin 3t – 3 cos /3t %3D O f() = /3 sin /3t-3…

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Q: xdx Trigonometric Substitution -4x-7

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Q: The following triple integral gives the volume of the solid that lies above the xy-plane, under the…

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Q: sech 2t dt Evaluate 3, coth 2t

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Q: Solve the system of equations. If the system has no solution, say that it is inconsistent. 2х -…

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Q: C}- 9 in R2 linearly For what values of x are the vectors Determine whether the vectors 1 and v. 10…

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Q: (x+68y)e dydx %3D 1J0

A: This is a problem related to double integration. based on the general formula of integration we will…

Q: What are the intervals on which the graph of the function f(x) = x4 - 2x3 + 1 is concave downward? O…

A: Given :f(x)=x4-2x3+1

Q: If E is the solid that lies under the plane z = 3 which its base on the xy-plane is between the two…

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Q: Use Lagrange Multipliers to solve the following: Maximize f(x,y,z) = 4x + 2y + z subject to x^2 + y…

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Q: y+8y+5 (y-1)(y+1)(y2+8)2 Integration by Partial Fractions

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Q: What are intervals of concavity of the function f(x) = -2x + 6x² – 3 ? %3D

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Q: 2x2 If we approximate f(-/4.1,/49.1)' Suppose we have a surface f (x,y) ,which of the following is…

A: I have appended the formula used in the solution part.

Q: Estimate f(x) = 2x2 the area under the graph of the function from x = 2 to x= 19 by a Riemann sum…

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Q: Using Lagrange multiplier method to find the maximum and minimum value of the function f (x, y) = x²…

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Q: O2/ Find all Max. Mn. Saddle point for the function Lelowr lay) = 2xy-5x-2y" + AX+4y-4 %3D

A: Maximum , Minimum and saddle points for f(x ,y) :   For critical points , fx(x,y) =0 = fy(x,y) (say)…

Q: If the temperature of the tea looks like the following, do you expect L(1.5) to be an overestimate…

A: A hot cup of tea has temperature T1=198°F, one minute after it has been sitting on the dining table.…

Q: If a = (-6, 12, -9), b = (2, -16, 18), and c = (28, -14, 3), what is %3D %3D (51, 0, -24) (57, -48,…

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Q: EXAMPLE 4 Solving an Equation (Complex Roots) Find all complex number solutions of x' –1=0. Graph…

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Q: Use the Alternating Series Test to determine whether the alte S(-1)k+1_ k 7k + 8 00 k k = 1 Identify…

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Q: Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular…

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Q: Evaluate the following integrals. Show all the necessary solutions. 3. tane de ) 71+ In cose)43

A: Given problem:-

Q: Let D={(x,y,2) : x2+y2+z?s 1600, z2 o}. Evaluate - z dv.

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Q: Evaluate the integrals in the following questions using integration by parts for In (x + x²) dx

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Q: 19) y"- 4y'+5y= 0, y(0) = 1, y'(0) = 2.

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Q: Let D be solid cone /x² +y² <:<1. Use CYLINDRICAL COORDINATES and find the mass if the density is ô…

A: To find the mass .

Q: 25 1 21

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the giveN…

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Q: Evaluate:* (s-20 Is²-9. :L-1

A: Given; (s-20) /(s2-9).

Q: Find the local max and local min and saddle points of F(x,y)= 2x^2+y^4-4xy

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Q: a ER メ 2 12

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Q: sin 4.x if x > 0 Suppose f(x) = {0 if x = 0. Find f'(0) using the definition of derivatives. x+4x if…

A: We have to find f'(0).

Q: Evaluate the followina intearals. Show all the necessary or complete solutions. 1 3. - x² dx

A: Given :∫01x41-x2dx

Q: Which of the following statements is true about the function f whose derivative is f'(x) = (x -…

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Q: (b) Find the values of a and b so that the function f(x) = x2 + ax + b has a local maximum at the…

A: f(x)=x2+ax+b

Q: Given the vectors v and u, answer a. through d. below. v = 2i + 3j – 6k u = 5i + 12j

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Q: 19. (h o g)(2) 5. (A) 10 (C) 3+ v2 (B) 2/2 +1 (D)

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Which polar equation produces a Spiral of Archimedes? 13. С. r sin e = 2 A. r cos e = 2 P. D. r= 20

A: Here we have to find the polar equation which produces a Spiral of Archimedes.

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

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Q: sinh(4x) dx 3x Evaluate

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Q: Determine the x-values at which the graphs of f and g cross. If no such x-values exist, then state…

A: This question is related to Functions, we will solve it using given information.

Q: 3. Find the general form of the equation of the plane containing the point Q(0, -2, 10) and the line…

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Q: Oyp-3xpy +2x=0.

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the solution of the following Differential Equations 5) y"-ky' = 0, y(0) = 2, y'(0) = k .

A: We have to find the solution of given differential equation.

Q: Use the Euler, improved Eule and Runge-ku 6. methods to solve the following ODES: ソ=(1+ ) りく) = e

A: