7- Differentiate Y= f(g(x4)) h³(√x)

Q: Integrating Factor by Linear Equations: 9. +xcoty ecosy =

A: Given that a differential equations and we solve this differential equation by using integrating…

Q: Using production function Y = K1/2 1/2 and using the information below: Relative to US column 4…

A: Solution of the problem as follows

Q: mposition =

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Q: (C) EXERCISES Evaluate the following integrals: 1. tan² x dx 2. cot cot² r dr COS I da sin x COST…

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Q: du du

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Q: IV. Do as indicated. 1. Let f(x): = where x = 1. 1 Find the equation of the tangent line to the…

A: Given equation f(x)=11+x2Differentiate…

Q: Find polar equation for the Cartesian equation 13y = 8x. a. theta = 1.02 c. theta = 0.55 d. r = 0.55…

A: Substitute x=rcosθ and y=rsinθ in 13y=8x. 13rsinθ=8rcosθ  13sinθ  =  8cosθ

Q: 60. (a) dx SI dt 1 + √t (b) de fint di dt

A: We can solve this as follows:

Q: Find the horizontal asymptote of f(x) = y = 5x + 2x³ +3 5x³x2-4

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Q: Consider the following. u = (-3, 3, 5) v = (0, 1, 6) Find u x v. Determine if u x v is orthogonal to…

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Q: Integrating Factor by Inspection: 1. (2y3x)dx + xdy = 0

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Q: 16. lim x¹/ x→0+

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Q: Use differentials and the graph off to approximate the following. (Round your answers to three…

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 1+ 3 1. lim x12x² + x1

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Q: Question 7 Given : A B E 0 2π 3 F|+ π 4 (U) =|m x³sin(2x) dx = 3 5π 6 3πt 4 277²-24 64 Find bif sbst

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Q: Find fzyr. f(x, y, z) = x³y5₂6 + xy³ + yºz

A: Given: fx,y,z=x3y5z6+xy3+y6z We have to find fzyx For fzyx we first have to find the partial…

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = 3t³i + 6tj - t²k (a) r(t) (b) r"(t) (c)…

A: Given data÷

Q: 21. 5₁ 1 dx (A) 2 So to dx dx both diverge when p = xP (B) 1 © DO dx and (E) -1 HOR LAY A DUPA

A: Divergent

Q: Determine any planes that are parallel or identical. (Select all that apply.) OP₁: -60x + 90y + 60z…

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Q: 7T 2 Find 35 cos(7x) dx 5π 2 7T 2 35 35 cos(7x) dx = -5π လ

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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…

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Q: 1. (1 - ху)ý + у2 + 3xy3 = 0

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2x² - 2 dy= Need Help? Read…

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Q: An integrating factor is μ(y) = The solution in implicit form is = c, for any constant c.

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Q: Find volume of the solid bounded by z = 0, f(x,y) = x² + y², x² + y² = 4², 10y = -6x and 13y = 8x…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = -2x - (sin(x))² Read It Need…

A: We can solve this as follows:

Q: d Calculater₁(t) r₂(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt the product directly and…

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Q: xg x9-₂x = 1 4

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Q: 2x2 40. Determine which of the following is the integral off 5 cos x dx. a. -5 sin x + C c.cosx+C b.…

A: To evaluate the values of given integrals.

Q: 61. det t sectdt d 62. du Jo Ix/dx 0 px [Hint: Use Definition 5.5.3(b).]

A:

Q: -π/4 x3 dx (x²+4)5/2 (Use trigonometric substitution)

A: We have to solve above question useing trigonometry substitution

Q: Let an integer be chosen at random from the integers 1 to 30 inclusive. Find the probability that…

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Q: 8 An acceleration function is expressed as a (s, v) = s²- determine displacement by integrating '…

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Q: Find fa, fy, and fz. f(x, y, z) = 3z ln (x³y³ cos(2z)) fx= fy= f₂ = =

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Q: Let f(x) = 3x + 6 x + 7 Find: 1) the domain in interval notation Note: Use -00 foroo, oo for oo, U…

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Q: π/4 x³ dx (x²+4)5/2 ST/4 (Use trigonometric substitution)

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Q: Calculate[ri(t) r₂(t)] and [r₁(t) × r2(t)] first by differentiating the product directly and then by…

A: This question can be solved using the concept of dot product and cross product of two vectors and…

Q: Find an equation of the plane with the given characteristics. = The plane passes through the point…

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Q: d Calculater₁(t) · r₂(t)] and [r₁(t) × r2(t)] first by differentiating dt the product directly and…

A: r1(t)=cos(t)i+sin(t)j+5tk,r2(t)=4i+tk,r1(t).r2(t)=(cos(t)i+sin(t)j+5tk)(4i+tk)r1(t).r2(t)=4cos(t)+5t…

Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 4. lim x-∞ 8118 5. lim 1-x+ 2x +…

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Q: If cos (2θ) = 3/5 and 0 ≤ θ ≤ π/4, find the values of i. sin (2θ) ii. cos (θ) iii. sin (θ)

A: Given, Cos2θ = 3/5 Formula: Sinθ= √(1-cos2θ) Cos2θ=2cos2θ-1

Q: III. Suppose that a function f(x) satisfies the following properties, together with the table of…

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Q: dx3 d²y_dy+y=0 dx² dx

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Q: Consider the partial differential equation u, + uux = 7+ uxx: Determine the order of this equation;…

A: Given differential equation:- ut +uux =7+uxx

Q: fe²x+Inx² sin x² dx = e2x cos x² dx

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Q: Suppose f is continuous everywhere, f’ is differetiable everywhere except at x = -1, and the graph…

A: Suppose f is continuous everywhere, f’ is differetiable everywhere except at x = -1, and the graph…

Q: y = tan-¹ (cosh x) (sin²x) (sech x) secz (use logarithm

A: We have to find dx/dy

Q: Suppose f is continuous everywhere, f’ is differentiable everywhere except at x = -1, and the graph…

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Q: Locate the absolute extrema of the function on the closed interval. f(t) = ₂, [3,5]

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Q: Question 12 Determine the equation of the vertical asymptote and the equation of the slant…

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