5 In(3x) dx 5ln (3x) +C 12. 4

Q: 1. Given: - 4r? with f'(r) = (r+ 2)2" r(r+8)(r – 2) (x+2)3 8(7r-4) (x+2)4 f(r) = and f"(x) = %3D %3D…

A: fx = x3-4x2x+22 ; f'x = xx+8x-2x+23; f''x = 87x-4x+24

Q: Area = 2 Area = 1. Area = 3 3 5 7 Area = 7 Graph of f' The figure above shows the graph of f', the…

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

Q: 10

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Q: Complete the parametric equations for the line where the planes 8x + 13y – z = 27 and 9x + 15y – 12z…

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Q: Compute the length of the curve r(t) = (41² + 1, 81² - 5,1) over the interval 0 < t < 2. (Use…

A: To find the length of the parametric curve  r(t)=4t2+1,8t2-5,t3 over the interval 0≤t≤2. Here, let…

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Q: . Use separable equations to find the general and particular solution of xy dx – (x +

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Q: Solve the differential equation. dy = 5 ex-y dx Choose the correct answer below. O A. y= 5 e* +C O…

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Q: State whether the following numbers are rational or irrational. a) V4 + 7/2 b) V36 c) V11²510716

A: We have to find if the numbers are rational or irrational.   According to our guidelines we can…

Q: 13. Obtain the differential equation of the family of straight lines at a fixed distance p from

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Q: Find the total mass of the wire with density p whose shape is modeled by r. r(t) = t'i + 2tj + tk,…

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Q: -4x2 f(r): r(r+8)(r – 2) (x+2)3 8(7r - 4) (x+2)4 with f'(r) = and f"(x): (r + 2)2 ' a. Find the…

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Q: x(8x*-30x +5x-80) 14. S(x* – 3x³ + [? -2)dx | 40

A: Given : Let the missing value be A∫x4-3x3+A-2dx=x8x4-30x30+5x-8040+C   To Find : The value of A

Q: Use the Comparison Test to determine if the series converges or diverges. Sn + n=1 diverges…

A: Solution: ∑n=1∞55n+6n Apply constant multiplication rule : ∑c·an =c·∑ an =5·∑n=1∞15n+6n

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Q: By expressing the product as a sum, 2cos(3x)cos(4x)= ?

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Q: 6. 9. 6, If f(x) dx = 31 and g(x) dx = 18, find [4f(x) + 5g(x)] dx.

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Q: Given that arcsec e) + (x – y²)² = 2. (a) Find dy using implicit differentiation. dx dy using…

A: Given,            arcsecyx+x2-y232=2

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Q: Find the location at t = 3 of a particle whose path satisfies - (1- dr 7 14t 2t – 4 dt (t + 1)² r(0)…

A: To find the location at t=3 of a particular whose path satisfies.

Q: Two angles are complementary.  The measure of one angle is twice the measure of the other.…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

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Q: Зх-1 2. f (x) 3D 2х+4

A: Given : y=3x-12x+4   To find : Derivative of the given function

Q: DIFFERENTIAL EQUATIONS Solve the following application problems. *show the every details of your…

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Q: 33. f(x, y) = xr – 3xy² + 6y²

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Q: Remember that rectangular form is z = a + bi and that polar form is z = r(cos 0 + i sin 0) Take…

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Q: Using Lagrange multipliers, find three positive numbers whose sum is 24 and such that the sum of…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

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Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v…

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Q: Find the distance between the parallel planes – 2x + y+ z = 0 and 6x – 3y – 3z – 13 = 0. NOTE: Enter…

A: -2x+y+z=0 6x-3y-3z-13=0   Divide the second equation by -3, to make the coefficients equal in both…

Q: Calculate the value of the integral dx to show that it is convergent. Then, use this result and the…

A: The given integral,∫1∞1x2dx and ∫1∞x2x4+x2+1dx

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Q: Find the area, if it is finite, of the region under the graph of y = 5x* e over [0,00). Select the…

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Q: Integrate the following differential and determine the constant of integration: dy/dx = 8/x which…

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Q: 2sinx if 2 sin x %3D what is u?

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Q: y=x/x+1 is a solution of what differential equation

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Q: r = 4 – 3 sin 0

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Q: Evaluate the integral. 10) 5x2 V5 + 3x3 dx

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Q: Find the points on the ellipse 5x2 + y2 = 5 that are farthest away from the point (1, 0). smaller…

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Q: уз dy S 1+9y2 3.

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Q: Find f. f" (0) = 2e® + 3 sin 0, f(0) = 0, f' (0) = 1 Using O for 0. O f(0)=2e^O -3sin O f(0)=2e^O…

A: Given query is to find the function f(O).

Q: x = xyln (y) – y² xy ln (x) – a² dy dx Option 3 O None of the choices dy dy dx dx x2 Option 2 Option…

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Q: Determine if the following statement is true or false. The lines Lj and L2 are skew. Lj :x = 1 + 7t,…

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Q: Find the area of the region bounded by the given pair of curves. Area inside the circle r = 3 cos 0…

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Q: Find parametric equations of the line through (-3,0, 3) that is parallel to 5i– 7j+k.

A: Recall:  The parametric equations of the line through (x0,y0,z0) that is parallel to a i+b j+c k is…

Q: =i-j+ 2k and Find the area of the parallelogram that has u v = 2j + k as adjacent sides. NOTE: Enter…

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Q: Consider the points A(1, –1,4), B(2, –3, 2), C'(-1,–2,2), and D(4,3, -6). (a) Find the volume of the…

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Q: The relationship between the number of decibels B and the intensity of a sound I in watts per…

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