dy dx = 2x2-5vxy = 4y2

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Q: On Integration by Parts [z√z+1dz fe* cost de [r³√³+1 da 1) 2) 3)

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Q: On Integration of Rational Fractions. Distinct linear linear factors ³+3x+1 8) (x+1)²(x-2)²

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Q: IV. Fill in the blank to make each statement true. Use correct notations. 12π ¹ (sin ¹25). = 1.…

A: We can solve this as follows:

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A: The objective is to find the Partial derivatives.

Q: Find the volume of liquid needed to fill a sphere of radius R to height h = R.

A: answer is in next step. please give a like!!

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Q: Use logarithmic differentiation to determine I√I+1 (x+2)(x³+1) Y L2 7 2√2 O_7√2 72 3 at x = 1 for…

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Q: fa¹e² da dx: Applying the integration by parts technique, let Consider the integral Ա 4 X dv = ex x¹…

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Q: Which of the following equations describes the nth term for the sequence O (3) -1(9)*** 4 1 1 1…

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Q: 5. Prove the identity: cot(A + B) cot(A − B) = - cot² B tan² A tan² A cot² B - 1

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Q: The graph shows the depth of water W in a reservoir over a one-year period as a function of the…

A: Concept: The average rate of change : The average rate of change function explains how quickly…

Q: By an appropriate trigonometric substitution, Choices: √ √10 sin sin 0 cos de cos √10 sin 0 1 /10…

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Q: Find 뿐 for the ry – ln(xy) = 1 0 뽈 ㅇ-볼 O 래 ㅇ-픕 following:

A: The given expression is xy-lnxy=1 we have to find dydx use the derivative formulas, ddxx=1…

Q: 1 3 2 + To find the blue shaded area above, we would calculate: b ľ f(x) dx = area Where: a = 2 3 4…

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Q: On Integration of Rational Fractions. Distinct linear factors Repeated linear factors x+8 7) 2+ 1²²…

A: 6) Given:       x+8x2+x-2=x+8x-1x+2 The partial fraction decomposition is:…

Q: Given the function graphed below, evaluate the definite integrals. -1 4 3 2 1 1 -1 -2 -3 -4+ […

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Q: a) 2+ 3i b) 2-3√2i Write in trigonometric form with 0 ≤ 0 ≤ 2π

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Q: Use integration by parts to find the antiderivative of f(x) = ln(x).

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Q: Which statement would be represented by an inequality? To ride the roller coaster you must be at…

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Q: 8 №₁ 4-x² x+4.x² dx

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Q: Suppose cot(theta)=-2, t in the second quadrant. Find cos(theta)

A: topic:- trigonometry ratios

Q: (d) y = πx+π³

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Q: 6. If a = 2, b = 2√√3,7 = 30°, solve for c and 3.

A: We know that cosine rule is c=a2+b2-2abcosγGiven data a=2, b=23 and γ=30c=22+(23)2-2*2*23*cos(30)…

Q: Find the volume of a solid obtained by rotating the region enclosed by the graphs y = 19 - 2x, y =…

A: To find the volume of a solid obtained by rotating the region enclosed by the graphs y=19-2x, y=5,…

Q: CALCULATE THE AREA BETWEEN THE GIVEN FUNCTIONS. DEVELOP THE PROBLEM WITH ALL STEP EXPLAINED AND…

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Q: B If f(x) has a local minimum at ra, then which of the following must be true? O f'(a) > 0, f"(a) 0…

A: We have to find the correct option.

Q: Find the linear approximation to f(x, y) f(6.11, 4.17) f(6.11, 4.17) = 5, xy at the point (6, 4,…

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Q: What is the explicit equation for the nth term of the arithmetic sequence 6, 3.5, 1,-1.5, 4,...?…

A: We have: a1=6 -- the first term   Next, we calculate the common difference d=a2-a1 So, we have:…

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A: In this question, we need to find the area of the surface.

Q: 1 S. cot ³ x dx

A: I have stated the used formulas in the solution

Q: Find the area of the region bounded by the graphs of f(x)=x^3-x^2+10x and g(x)=-x^2+26x

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Q: "풍 2 secx dx tan³x + 4 tanx

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Q: Define the force field F(x, y, z) = . a. Find the divergence and curl of F. b. Let C be the directed…

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Q: bounded by x² + 2y = 4 and - Sketch the area x+y+2=0 and determine: d) area using using horizontal…

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Q: Consider the two-dimensional vectors a and b. a = (3,-1), b = (-5, 0). (a) Find the measure of the…

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Q: 10. Find function that satisfies the given conditions: f"(x)=6x³-3x+4, f'(1)=-3, f(1) = -6

A: The function satisfies the condition f''x=6x3-3x+4, f'(1)=-3, f(1)=-6 use the integration formulas,…

Q: (i) Consider the function f: R\{-2,3} → R defined by 2x³4x²5x - 3 x²-x-6 f(x)= - (a) Prove, using…

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Q: 23 14 f(x)dx – ¹ f(x)dx - - where a = = b [ f( and b = f(x) dx

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Q: Which of the following graphs represents (x + 1)² = 8(y - 3)?

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Q: The total cost of producing x newspapers is given by the function C(z) = 20x-x². Find the marginal…

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Q: Suppose that a particle moves along a straight line with velocity v(t) = 14 - 6t, where 0 < t < 1.5…

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Q: Approximate the area under the curve y = x from x= x³ with 6 subdivisions. = 2 to 5 using a Right…

A: The curve y=x3 from x=2 to x=5 we have to find the area under the curve using Right Endpoint…