Which formula is not equivalent to the other two? 10 (-1)*-7 -5 (- 1)* 3 (e) k-7 | 3 (2) k = -7 k+1 k+8 3 (a) k 8 (- 1)k-7 k-7 -5 (- 1)% k+8 k = -7 2 (-1)k k+1 (EAs)- 18 here to search 近。 770VL F5 F7 F8 F10 F12 レレー PrtScr # 2$ & % 6

Q: 7) A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

A: Given: A spherical balloon is to deflated so that its radius decreases at a constant rate of 15…

Q: S csc6 cot* w dw W

A: Given,           ∫csc614wcot414wdw

Q: b) Evaluate the following integral by using the polar coordinates R where Ris the enclosed region by…

A: solve the double integration

Q: x³ + 6x² + x +2 fx-1 ax + In{(x + 1)*(x² – x + 1)| +- 2 Tan Ve The resulting integral of -1 + C,…

A:

Q: 5. sin (2x) dx

A: To evaluate: ∫sin22xdx ⇒I=∫sin22xdx We know that 1-cos2x = 2sin2x

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A:

Q: Integration by Parts Example 4. Evaluate In x dv,

A: The given integral is: I=∫lnxdx   As we know that; ddxlnx=1x

Q: A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

A:

Q: 1 1) [ (tan³ 0 + tan³ 0) e-tan º d0== 2 (-1)" n! (In x)" dx= (m + 1)"+1 ·

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: Given,   r(t)=cos(πt)i-ln(t)j+t-16k

Q: To evaluate dx using trigonometric substitution, which of the following is the new integral form in…

A:

Q: If f(x) = (4x – 2)² - (3x² + 6)", find f'(4).

A:

Q: Does this mean the sequence is always convergent?

A: We can take limit of the sequence.  limn→∞an=limn→∞-1n-1nn+n

Q: cot vo csc? Vo de 3 Vo² (4 + cot² Ve)

A:

Q: Q2/ solve the Differential Equation [ (2xy+3y²)dx = (x² + 2xy)dy ]

A:

Q: 2x2 1) Given: f(x)= 48(3x +16) f"(x)=- (² –16) -8 -48x s'(x)=: (x² -16) x-16 a) Determine any…

A: Given: f(x)=2x2-8x2-16f'(x)=-48xx2-162f''(x)=483x2+16x2-163

Q: 1 -x dx = u v- Sx sec xtan Svau Using Integration By Parts, Find UV- X sec ec- x dx 1 1. x sec 1.…

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Q: 3x2 + 7x + 28 A f(x) Using partial fraction, evaluate x3 + x2 + 7x dX, the decomposed fraction is x2…

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Q: 4-x dx. Evaluate f: T16-x 16-х2

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Q: Evaluate the definite integral 3e-0.05r dr by the following steps: (a) Determine the indefinite…

A:

Q: g(t) = 2t3 + 3t² – 12t Find the intervals where g(t) is increasing and the intervals where g(t) is…

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Q: 10) For y=v+8, use the differential dy to approximate Ay when x changes from r=1 to x=0,97

A:

Q: Given : S 6x³e**3 dx. Using integration by parts (S udv = uv – dv = 3g(x)dx find h(x) if ſ vdu =…

A: Let's find.

Q: dx - [f(e)de find f(e) - S. (x² + x + 1) 2 Using Trigonometric Substitution O 3 sec? e 4 4 3 sec? e…

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Q: 7. Use the Method of Lagrange Multiplier to find the critical points of the function f(x, y, z) =…

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Q: (x – y)dx + xdy = 0.

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

Q: For mutually exclusive events R1, R2, and R3, we have P(R,) = 0.05, P(R,) = 0.5, and P(R3) = 0.45.…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: A rectangle is constructed with its base on the x-axis and its upper two vertices on the parabola y=…

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Q: Using integration by parts, which of the following options is true x arcsec x dx ? xdx A. * Arcsec x…

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Q: The graph of a function f is given. y -1 1 10 Estimate f(x) dx using five subintervals with the…

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Q: x'+8 if x + 2 The function f given by f(x) = is continuos at x = -2 x+2 -12 if x = 2

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Q: 3. A water tank has the shape of an inverted circular cone with base radius 4 m and height 8 m. If…

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: %3D Determine the speed along a parameterized path c(t) = (6 sin¬'(t), 3 tan¬(1)) at time t = 0…

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Q: If you are going to evaluate the integral f dx using trigonometric substitution, the answer is 2(tan…

A:

Q: 2. |=xp(x)JLOS Then find the value of the integral: pune f(0)=| Sketch, on a sheet of work paper, an…

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Q: 5. Use differentials to approximate the value of V(3.01)² + 2(0.99) – 3 in four decimal places.

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Q: 00 Given: (1 + 2x)e*dx̟ Using integration by parts and letting dv 00 is %3D u = -1 - 2x, then the…

A: Let's find.

Q: Find the function f(x) such that f''(x) = x + cos(x), f(0) = 1, and f'(0) = 2.

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Q: Let C be a curve that is defined by x = 4 sin t and y = cos t, t e [0, 27). Determine (a) the time…

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Q: For the function y = f(x) = 2e-0.3x (refer to the graph in the textbook), use definite integrals to…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: Q5/Find the Laplace Transform -3 4- f(t) = V2t E) = va Where r %3D

A: To find the Laplace transform of given function.

Q: The plane y = 1 intersects the surface z = x° + 5xy – y* in a certain curve. Find the slope of the…

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Q: What is the volume of the region R = {(x, y, z) ER/l < x < 3; 2<y< 4;3 < z < 5} ? Select one: O None…

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Q: Given the area  in the first quadrant by x^2 = 8y, the line x = 4 and the x axis. What is the volume…

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Q: If you are going to evaluate the integral S V1 - 7w-dw using trigonometric substitution, the answer…

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

Q: 6. A bax with a square base is to have an open top. If the lateral surface of the bax is 100 cm",…

A:

Q: x³ + 6x2 + x+2 2 Tan Ve fx-1 ax + In{(x+ 1)*(x² – x + 1)"| + The resulting integral of -X+ -1 + C,…

A: