Find the point on the line 3x + 7y+ 6 = 0 which is closest to the point (-4,-3). )

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A: The given equation is Let

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A: To determine from the graph whether the function has any absolute extreme values on the interval .

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A: Consider the function

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Q: f(x) = x² Which of the following is the linear approximation of f(x) at the point a=16? O O O 3…

A: f(x)=x3/8, a=16

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Q: Identify domain and range and determine it it’s a function

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Time (secs) 0 30 60 90 120 150 180 Speed (mi/secs) 0.00 0.03 0.08 0.16 0.27 0.42 0.65 9. The table…

A: Given Information table is as follows

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Q: Question 1 (i) Determine dy/dx in the following: (ii) y = cos(x³ - 2x) y = x²-2 sin x y² −2(x+y)+x²…

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Q: For Evaluate the following expression. Select the correct answer below: f(x) 4-x-x² ifxsl 2x-1 ifx>1…

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Q: Express in terms of logarithms without exponents. log(x³y4z)

A: Let,C=

Q: (1) 2x2 + x- 5y2 = 4 2x2 + x + 5y2 = 4 3x²+1= 4y 12 (2) (3)

A: Note: As per our guidelines, we can solve the first three parts. Please repost the remaining sub…

Q: Given the definitions of f(x) and g(x) below, find the value of g(ƒ(8)). f(x) = X 11 g(x) = x² + 7x…

A: The given functions  and .The aim is to find the value of .

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Q: 2x² + 5x = x + 4y

A: 2x2+5x=x+4y

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Q: Evaluate the following 2 j (x² + 3x-10) dx -5 √(x²+3x-10 +3x-10) dx = -5 (Type an exact answer. Use…

A: The given integral is .The aim is to find the value of the integral.Formula used:

Q: Question 12 Determine the value of x(t) at t = 0 given its Laplace transform. Choose your answers…

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Q: A patient has an illness that typically lasts about 24 hours. The temperature, T, in degrees…

A: Given that a patient has an illness that typically lasts about 24 hours. The temperature, T, in…

Q: Find the linearization L(x) of f(x) at x = a. f(x)=x+, a= 2 3 O A. L(x)=x+1 3 2 23 OB. L(x)= x+3 5…

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Q: number. Fr 11. The sum of the measures of the three angles of a triangle is 180°. The middle-sized…

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Q: 9. Suppose 0 < a <b, and Find the value of få f(x²)dx. A. 4 B. 2 C. 1 D. -5 [F(x²)dx=6₁ ["f(x²)dx =…

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Q: Ĵ Refer to the graph shown below to evaluate -2 fit) f(t)dt.

A: A graph of the function  is given.The aim is to find the value of .The integral formula  is used in…

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Q: Determine the integral using the substitution u = √√x+11. √(x +11) 1/2 √x+11 dx

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Q: Problem 2. (Fundamental Theorem of Line Integrals) Suppose that the curve c connects the point (0,…

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Q: At time t, the position of a body moving along the s-axis is s=13-1512+72t m. Find the body's…

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Q: Suppose a dog jumps in the air and that its height (in feet) above the ground is given by h=-16t²…

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Q: 19. If $100,000 is invested at 6% compounded monthly for 7 years, the compounded amount is given by…

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Q: Use the Comparison Test to determine the convergence of the following series. n=1 n sin² n n³ + 1

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