Eliminate the parameter t from the parametric equation x = 3 sint y = 3 cost 0 ≤t≤ 2π.

Q: Let A(z) = f(t)dt where f is the function given by the graph below. 3- 2 + 2 H d -2 A(3) - A(8) -

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A: Here I am providing my handwritten solution

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A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: We have to substitute z=√(4-x^2)

Q: 2 cosh x +losion2x = 5

A: I am attaching image so that you understand each and every step.

Q: 5. If f(x) dx = 12 and f f(x) dx = 4, then all of the following must be tru a. ff(x) dx = 16 ✓ b.…

A: Given that∫25fxdx=12 and ∫58fxdx=4Solution :a.∫28fxdx=∫25fxdx+∫58fxdx                 =12+4…

Q: 2. Find the Maclaurin series of f(x) = tanh

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

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A: Using disc method, volume is evaluated.

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A: Using Matrix operation

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

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Q: Use the binomial theorem to expand the binomial. (5x+2)4

A: Please refer to the image below

Q: 2. Determine the angle, to the nearest degree, between the vectors * = (4,6,-2) and y = (1,8,2)

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Q: Question 1 CD Assume that "Foo is a function defined by Foo = x²-3x+1 288-1 For a ≤x≤3 Prove that…

A: Given: fx = x2-3x+12x-1---------------------------------To prove: Fx is bounded for 2≤x≤3.…

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A: limx→1-f(x)=3

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Q: + 1 -оу-х -oy=x2

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A: Given: y=x2+1, y=x, x=0 and x=1   Now find the point of intersection between the curve y=x2+1 and…

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A: I am attaching image so that you understand each and every step.

Q: lin x→ Sin 2021x Sin 20222

A: We have to find the limit

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Q: need

A: We will solve the problem

Q: Q) find differential equation of the following equation (1 + x²) dy + (y - tan-¹(x))dx = 0

A: On solving this we will get

Q: 5. The Fourier transform of signal e²²¹ u(t-3) is . e-3(2-jw) a) 2-jw b) e-3(2+jw) 2+ jw c) e3(2-jw)…

A: NOTE: As per our guidelines, I have solved one question. If you want the answers of rest, kindly…

Q: Evaluate the following integrals: dx dx a. S b. f √81+16x² √16x²-9 C. S dx 49-4x²

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Q: 3. Evaluate sin rdx

A: The given integral is: I=∫sin5xdx   As we know the Power rule: ∫xndx=xn+1n+1+C ; n≠-1

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Q: 9) Find the equation of the tangent line to the function f(x)=-3x² - 2x at the point where x=1. Give…

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Q: QUESTION: 2. Sketch the graph and solve for the volume of the solid generated by revolving along the…

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Q: Determine the volume of the solid generated bounded by x²= 2y and x= revolved about x=4. 2 Use ring…

A: Given problem:- Determine the volume of the solid generated bounded by x2 = 2y and x = y/2 revolved…

Q: Determine the angle, to the nearest degree, between the vectors= (4,6,-2) and y = (1,8,2)

A: Solution is done in step 2

Q: What is the component form of resultant of 26 - 3ā? à = (2,-3) 6=(-1,5) Enter your answer by filling…

A: Given query is to find indicated vector operation.

Q: Q2: Find the determinant of 3x3 Matrix. 5 7-8 4-36 1 7-9

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Q: Find the curl of the following vector field: F = (z, 2y, -3x)

A: Follow the procedure given below.

Q: -10 -9 -8 -7 -6 Component Form: v = Magnitude of v: ||v||=| Direction of V: Ov = -5 -4 -3 -2 -1 y 10…

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Q: Let w=x² +3y² + 2z² where x=rcos, y=rsin 0,z=5t find dw dw ar' at

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Q: Find and sketch the domain for f(x, y) = ² 2x-14y²

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Q: Find the general antiderivative of f (x) = 4 x ln x²

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Q: Given plane z: 3x+2y+=-3=0, point P(1, -2, 3), and lines 1₁:¹¹ and 4₂: (3, 6,-5)+r(2, 3, 1), find:…

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Q: 5. If f f(x) dx = 12 and f f(x) dx = 4, then all of the following must be true a. f f(x) dx = 16 ✓…

A: topic- definite integral

Q: J; x² x² - 1 4 dx

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Q: Determine the following limit at infinity. lim f(x) X→∞ 9(x) if f(x)→700,000 and g(x)→∞o as x→∞ Find…

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Q: II. (3 + x, if x ≤ 1 (3-x, if x > 1 Sketch the graph of the given function. 6. Let f(x) Investigate…

A: we have to check continuity at x=1 for the given function