| vũ du b. y = sin x с. y = 3t? dt ctan x

Q: Solve the problem: max/min U = xy subject to x2 + y2 2 %3D

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Q: 2 x²e¬2® dx. Compute

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Q: Let f(x)=√2x2+2x+7f(x)=2x2+2x+7 f'(x)=f′(x)=    f'(5)=f′(5)=

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Q: dy Consider the differential equation dt = 8y?(y – 1). Use a phase-line analysis to determine…

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Q: What is the area of the region I from the following sketch of graphs? 11

A: Given problem:-

Q: If the formula y = a° is changed by adding one as shown in red below. Which of the following best…

A: Solve the following

Q: 28./2 р< 3, п/2< ф< п T

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Q: 888 Chapter Sixteen INTEGRATING FUNCTIONS OF SEVERAL VARIABLES 1-z2-y2 8. f(x, y, z) dy dz dx 11.…

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

Q: Evaluak the following limits 9-x VX-3

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Q: The height y (in feet) of a ball thrown by a child is 1 x² + 6x + 5 14 y = where x is the horizontal…

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Q: i) The area of the surface obtained by the rotating the curve y=V 36-x, -3<x53 about the x- axis is…

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Q: The antiderivative of the function f(æ) 6. + 8x is. -6 + 16.0x? + c -6 4.0x? + c 6 + 4.0x² + c -6 +…

A: We have to find the antiderivative of the function f(x) = 6x2 + 8x

Q: Airport B is 300 mi from airport A at a bearing N 60°E (see the figure).A pilot wishing to fly from…

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Q: Q: Find the equation of the tangent plane to the surface:- z-Ln(xj) -x5J , atthe poit (7,4)

A: The given surface is z=lnx2y-xy=fx,y at the point -12, 4. The equation of tangent plane is…

Q: +25y=t^(-5)

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Q: Question 8 The function f has first derivative given by f'(x): What is the x-coordinate of the…

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Q: Sketch the graph of the following function. Describe how the graph can be obtained from the graph of…

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Q: nd d²x/dt² as a function of if 4 = 7x sin x.

A: Given query is to find the derivative of the the expression.

Q: Activity 1.3.3. A water balloon is tossed vertically in the air from a window. The balloon's height…

A: Given problem:- A water balloon is tossed vertically in the air from a window. The balloon's height…

Q: The entire graph of the function f is given below. Round your answer to the nearest integer, if…

A: Relative maxima is the largest point in interior of the domain.

Q: Three slopes are given. For each slope, determine at which of the labeled points on the graph the…

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Q: Find the key numbers of the inequality. (Enter your answers as a comma-separated list.) 25x3 – 49x2…

A: Given: 25x3-49x2≤0

Q: Evaluate 11 Q3 x²e*y dxdy 0 y

A: We will solve this question by changing the order of Integration.

Q: Use Part I of the Fundamental Theorem of Calculus to find the derivative of the function. 8(x) = f…

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Q: Graphing Asymptotes for a Rational Functions Two copies of the same Rational Function are shown…

A: A line x=a is said to be a vertical asymptote of a function y=f(x) iff as x tends to a, f(x) tends…

Q: 4: Show yor work. a) 1: Find the exact area of the surface obtained by rotating the curve y? +x =5,…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Write the scalar equation of the plane given the parametric equations. x = 2 + s y = −3 + 2s− 3t…

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Q: Find the angles of given that a = 30, b = 14, and c = 19. Round to the nearest tenth of a degree. B…

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Q: Use the method above to find the distance from the point P(-3, 1, 2) to the line through A(1, 1,0)…

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Q: ) Let A be a nonsingular matrix, consider the 8 2 matrices A- -6 4 10 1 5 2 (a} .- ) Find the…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

A: To find the volume of the given tetrahedron with given verticesP =-2, 3, 0Q =(2, 1, -3)R = (1, 0,…

Q: 1. Use cylindrical coordinatcs Find the Volume of the solld that ies within both the cylinder…

A: To find the volume. Using cylindrical coordinate.

Q: z = 49- 72 2y2.

A: answer is in next step

Q: Let A = 1 a. Find the matrix product A'A b. Find the determinant |A'A| c. Find the inverse (A'A)-1,…

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Q: Show that the equation 2x+ sinx=0 has exactly one real root. (Hint: Step 1 show that the equation…

A: Solution is given below:

Q: Write limits of integration for the integral Sw 9(x, y, z) dV, where W is the half cylinder shown,…

A: Given integral:- ∫Wgx,y,zdV where, W is the half cylinder shown below: The length of the cylinder…

Q: Evaluate the integral using the following values. 8. 8. x dx = 960, х dx %3D 24, 8. dx = 4 4 х dx 4

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Q: For each of the following, solve for x. 1 a. x+2 7-X

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Q: Find the following indefinite integrals. x* – 5x dx. 2. x3

A: Answer is given below.

Q: Use a plane transformation to evaluate ∫∫R x dA, where R is the region enclosed by x − 2y = 3, x −…

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Q: Find the amount after 3 years if $1000 is invested at an interest rate of 12% per year, compounded…

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Q: A tank initially holds 10 gal of fresh water. At t=0, a brine solution containing lb of salt per…

A: We have to find amount and concentration.

Q: A rectangle is inscribed with its base on the X-axis and its upper corners on the parabola y=…

A: A rectangle is inscribed with its base on the x-axis and its upper cornerson the parabola y=8-x2.

Q: iven the given cost function C(x)=5950+360x+1.4x^2 and the demand function p(x)=1080 Find the…

A: Follow the procedure given below.

Q: 5, (1) Find the eigenvalues and the eigenvectors of the matrix A = %3D 3 -2

A: The given matrix is: A=563-2

Q: n n(n + 1)(2n + 1) Le n be a positive integer. Use induction to prove >j² = 6 j=1

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Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A: P∝TP∝1VPV=k T .....(1)where, k is proportionality constant.P1=18 atmospheresV1=120…

Q: In x cot x 6 ) Tim

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Q: Evaluate the iterated integral I = SoS"(24y + 2) dady

A: Answer for the integral is : 14

Q: 2x²+5 Given f(x) : %3D 5x2-1

A: