Find equation of the tangent to the curve at the given point x=t^2-4t, y=t^2+4t+1; (0,33)

Q: Solve the inequality. Write the solution set in interval (+5)(y-1)(y-6) ≥0

A: (y+5)(y−1)(y−6)≥0

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A:

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Q: 18. Find dy/dx by implicit differentiation.

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A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: (b) Evaluate the integral 1 ["(-417 +31² 7 + 32 +1 k) dr 4ti dt 0 3t+1

A:

Q: 2. Some psychologists have said that the hours is given by f(t)= (a) How many facts are remembered…

A: Consider the function

Q: Q1: Find x(t) = ? for the following Differential Equation [x(t) + 2 x(t) = 10], where x(0) = 2.

A: x'(t)+2x(t)=10x(0)=2

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Q: (b) Use Elimination by. Addition method 2x + y = 1 3x - 2y = 5

A: 2x+y=1⟶(1)3x−2y=5⟶(2)

Q: Suppose that f(2)= -5, g(2) = 2, f '(2) = -4, and g'(2) = 1. Find h'(2). (a) h(x) = 5f(x) 3g(x)…

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A: If f(x) is continuous then we can integrate between some limits.

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Q: Given the function ƒ, evaluate ƒ(−1), ƒ (0), ƒ (2), and ƒ (4). ƒ(−1) = Number f(x)= { x²-1 4+x-6| if…

A: The given function is

Q: lim x →∞ 2x² + 19x 3x² + 10 2

A: L=limx→∞2x2+19x3x2+10

Q: Q2: Find x(t) = ?, for the following Differential Equation [x(t) + 4x(t) = 10], where x(0) = -1.

A: The given differential equation is

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A: (a)  given,

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Q: 3. Solve. 2 즐기 3 - X - 5 > 7

A:

Q: log(x2+x+ ex cos(x)²) log(log(log(x)))

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Q: What is the difference between the disk (or washer) method and shell method? Please provide your…

A: The disk (or washer) method and the shell method are two different techniques in calculus for…

Q: Practice 3: Let 2(x) = F(x)/G(x), where F and G are the functions whose graphs are shown below. Find…

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Q: 1. Differentiate: y = 3(²-1) A. (In 3) 3(x²-1) C. 2x (In 3) (3x²-1) B. (2x) 3(x²-1) D. x²(In…

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Q: Solve 11 (ex) ¹¹e13 + 6x = 4 5In (3) 17 5 In(3) +- In(3)- 19 11 243 13 17 13 6 +5 In(3)

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Q: Suppose upon applying Cramer's Rule to a system of equations in x, y and z, you get: D = 0, Dx = 0,…

A: Given that by applying Cramer's Rule to a system of equations in x,y and zwe get

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Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dy dx B) Write the equation for the…

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