Find the area of the region between the graphs of y = 16-2² and y=-62 +9 over the interval -3 ≤z≤1. The area is

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A: Follow the procedure given below.

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A: Topic = Integration

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A: Given :limx→01-cos4(x)sin(2x)lim x→1 lnxx2-1lim x→π4 sinx-22cosx-22lim x→01+tan(2x)1x

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Q: 14. The vectors a and b are given below. Use these vectors to sketch each of the following. za + b…

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A: Given,  x=ln(2t) and y=12t2

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Q: Find area inside 3 - 3 cos 0 and outside r = 3 O

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Q: 1. f(x) = cos (-:-)

A: From graph, it is clearlimx→∞cos1x =limx→-∞cos1x = 1

Q: Evaluate the iterated integral. 40 (xªy-7xy) dy dx 0-4 40 jjov (xªy-7xy) dy dx = [ 0 - 4 (Type an…

A: The given integral,    ∫04∫-40x4y-7xydy dx

Q: ) Find the Taylor series for f(x) = ln x centered at 3. Show All Your Work.

A: We can solve this as follows:

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Q: so cosA/sinA is my answer?

A: Let's simply given expression.

Q: 1) Solve the initial value problem. Show All Your Work. dy 2x+sec² X 2y , y(0) = -5. dx

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Q: Sin 20 + cos20 +1 Sin 20-cos20 +1 - - сото

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Q: Evaluate the following integrals (a) [2r³ - 2x³ + 3x - 2 dx (b) [ 3x² + √x √I dx (c) √ ¹ t² (√t -…

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Q: Numerical Integration: 1 √x 1. 0 dx

A: We can find the solution of the definite integral as below.

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line x+2y=2, and…

A: The area bounded by the line x+2y=2, and the x and y axis, revolving about x-axis

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Q: Using Ratio Test the following series +∞ (n!)² Σ 3n n=1

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2x³+2x²+2x+6 1. Lim: x3+4x+3…

A: topic- limits

Q: The interval of convergence of the following Power Series +∞ Σ nxn 4¹ (n + 1) n=1 ]-4,4] [-4,4]…

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Q: What is the slope of the line tangent to the polar curve r = ㅠ Ө - ? O 1 √√3 ✓ 2 T -||♡33 √√3 cos at…

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Q: 2 1) x² + y² + 18x - 26y+246=0 CX+972+(₂-137² = 4

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: Find area inside 3 - 3 cos 0 and outside r = 3

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Q: The function f(x) = max x, searches for the maximum value between a number. Prove formally that the…

A: Given; f(x)=maxi .xi

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Q: Find all the values of x such that the given series would converge. 8 3n (x2)(n+1) (n + 5) n=1 The…

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Q: In problems 5 and 6 find the particular solutions of the given differential equations. d²y dy 5. 5…

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Q: The table gives the values of a function obtained from an - using three equal subintervals with left…

A: To approximate the value of given integral using left endpoint approximation.

Q: Find the interval of convergence for The interval of convergence is a E n=1 (x - 1)" n 3n

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Q: 5) -IN 위에 3 2' 2

A:

Q: Find all the values of x such that the given series would converge. 8 8n (x²)(n+1) (n+8) n=1 The…

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Q: Evaluate the double integral over the given region R. S xy cos y dA Sfxy |xy cos y dA= R: -1≤x≤1,…

A: NOTE: Refresh your page if you can't see any equations. . the given integration is  the limits of x…

Q: Find all the second-order partial derivatives of the following function. w=3ye 4x²-y

A: Given :w=3ye4x2-y

Q: S dx . Consider ½/₂ Using rationalizing substitution, what will be z and its corresponding integral?…

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Q: Determine the equations of the tangent and normal to the curve y=2xex at (0,0)

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Q: Compute the area of the region enclosed by the curves. X y - 2x², y = x² - 4x -2/25 2

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Q: O The series Σ7-"[2 +5¹] n=1 converges to none of the choices the above converges to converges to…

A: The above series converges to

Q: Evaluate the cylindrical coordinate integral. √2-12 $$"S 9 dz r dr de 0 0 r *** 74 SS S 9 dz r dr…

A: To find the value of given triple integral.

Q: Find the parallel projection of the vector v = onto the vector w=.

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Q: Evaluate the iterated double integral 2 b.) √ √ ² sinπTy ³ dydx

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. 2. An In(n+1)…

A: 2.an=lnn+1-ln n

Q: 15. The sides of a triangle have lengths x, x + 4, and 20. Specify those values of x for which the…

A: Concept: Parallelogram Properties: A Parallelogram is a particular polygon formed by a quadrilateral…

Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

A: Radius of the cone is(r) = 3 ft =36 inches Altitude of the cone is (h)= 4ft =48inches ( And let the…

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Q: 2. Below is a graph of the exponential function f(x)=2¹. 10- 9. -10-9-8 10 +6 a. Describe in words…

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