-1 Let f(x) = (3 sin z + 4 cos z)tan f'(x) = %3D

Q: Determine the indefinite integral | 5x4(x5-6)8 dx by substitution. (It is recommended that you check…

A: Let's find.

Q: Evaluate the integral mx sin nx dx

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Q: Evaluate the integral -2x + 4 dx J (x² + 1)(x – 1) -

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Q: Use sigma notation to write the sum. 7n 7n Σ I = 1

A: To use sigma to write the sum.7n6-7n7n+...+7nn6-7nn7n

Q: 3 |а2 — За + 2) da 2

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Q: Complete the table. (Use C for the constant of integration.) Original Integral Rewrite Integrate…

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Q: 9. Is the function defined by gon3 – 3 if 2. continuous at r= 2? differentiable at x = 2?

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Q: Evaluate the integral (Partial Fraction Decomposition) xdx (x² + 2)(x² + 1)2

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Q: 6y² -dA where D is the region in the 1st quadrant bounded by y =x' and y= 4x . Evaluate 9.

A: Here we have to evaluate the  integral of a function over a region.

Q: 3. Find the point(s) on the graph of the curve fle)-+3+ where the tangent is horizontal.

A: To find the points on the graph of the curve fx=x33+3x+4x, where the tangent is horizontal.

Q: 486 on the interval [8, 20]. Find the absolute extrema for the function on the given interval.…

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Q: Find the cost function if the marginal cost function is given by C'(x)=x 1/2 + 5 and 9 units cost…

A: The marginal cost function is given by,   C'x=x12+5

Q: 1. Find the slope of the line tangent to the graph of the function defined by f(x) = 4 + 2x - x2 at…

A: As you mentioned only 1 solved

Q: 10. Given i [10,4] and [12, – 13], find the projection of i on

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Q: Determine whether the diff eq. is exact. If it is, find the general solution.

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Q: |xV2x + 1 dx

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Q: Calculate whether the differential equation is exact or not and Find the general solution.

A: The given differential equation is:x2+2x+ydx+2dy=0We need to check whether the equation is exact or…

Q: Convert the following function given in Cartesian Coordinates into Polar form. 25-y 25 Or = cos? 0-…

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Q: Given any second-order non-homogeneous differential equation, describe how you would decide between…

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Q: e-(x²+y³)(x dx + y dy) = 0

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Q: Differentiate f(x) = sin-(2x). Use exact values. f'(x) =

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Q: The region bounded by the curve y= x² and the line y=3x is revolved about c) the line x=-3 b) y-axis…

A: This is a problem related to volume calculation by solid revolution. Based on the general formula…

Q: etermine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

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Q: Let f(x) = 4x^2 – 7x. Use the ɛ/8-definition of the derivative to prove that f'(2) = 9.

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Q: a 0 0 0 0b0 0 11. Using cofactor method, prove that det M = abcd %3D 00c0 0 0 0 d

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Q: Find the indefinite integral and check the result by differentiation. COS X dx 1- cos?x

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Q: L 4e3-1 dr = 7.96 x 10 True O False

A: To determine whether the given statement is true or false.

Q: Sketch the following points in space three, A (4,5,3); B (1,7,4) and C (2,4,6). Prove that point A,…

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Q: A ball is thrown vertically upward from a point 112 ft above the ground with an initial velocity of…

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Q: Is 3 A m, m being any real number, possible? Explain. [IC]

A: This is a problem related to vector parts. Based on the general formula and concepts we will answer…

Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = -x + 7 6. g(x) = = y 81 6 2 bo 2.

A: We can find the area under the curves as below.

Q: Evaluate the integral (Trigonometric Substitution) x*dx (x² + 1)²

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Q: onsider the following curve. y = x, 0sx<5 Set up an integral in terms of x that can be used to find…

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Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = x2 - 7x + 6 g(x) -x2 + 5x + 6 y 10…

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Q: dy 3. Find if y = sinh(sec2x) . Simplify your answer. dx

A: Given :y=sinh-1sec2x

Q: Find the 44th derivative of the function f(x) cos(2). = The answer is function f 144) (æ) = cos (x)…

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Q: Assume the acceleration of the object is a(t) - -9.8 meters per second. (Neglect air resistance.)…

A: Given ,  Assume the acceleration of the object is a(t) = −9.8 meters per second (Neglect air…

Q: 2. Let R(t) = } sin 4t î – bcos“(21) j + 2t k. E

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Q: cos x + sin² x + 1 dx cos² x (sin² x + 1)

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Q: e cos xy [ydx + (x + tan xy) dy] = 0 %3D

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Q: a. f(x) = V3x3 – 2 %3D b. y = (Vx + 1)(x² – x) 2x5-3 c. f(x) cos x d. y = sin(4x²)

A: All the questions are solved below.

Q: There are 2 pipes connected in a tank which contains 1,000 liters of brine. Brine containing 0.1…

A: Given information ----------------------------------------------------------------- Basic…

Q: Find the arc length of the graph of r(t) = ev2ti +ev2tj+ 2tk, 0 <t < v2 ln 4 NOTE: Enter the exact…

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Q: 15. What would you choose for your u here if you used integration by parts? f 3t e2" dt а. t b. e21…

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Q: Зх + 108 dx х2 + 2х — 48

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Q: (2x + 3)dx x² + 4x + 29

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Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the 1st…

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Q: 3. Determine the exact values of the trigonometric functions using the given unit circle below. (a)…

A: We know that on unit circle , x co-ordinate is cosθ and y is a sinθ. Therefore cosθ=-35sinθ=45we…

Q: 22. A particle is moving with the given data. Find the position of the particle. (a) v (t) = 3t – H,…

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Q: 3. Let the statements A, B be A: (not p) and q, B: (not p) or (not q). If p 0 and q = 1, then !! %3D…

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