What is the equation of the line that contains the vertices of the hyperbola (z+ 4)2 (y+2)² = -1? 16 O z = 4 O y =2 O y =-2 O z=-4

Q: Mark the critical points on the following graph. 24 18 \12 -5 -4 -3 -2 -1 2 3 4 5 -6- -12 -18 -24…

A: 2 critical points

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

A: Given data÷ As you have suggested i have solved all steps of part 1.

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A: Given query is to find the value of the derivative.

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Q: omplete the table for the radioactive isotope. (Round your answer to 2 decima Amount After 3000…

A: we have to find out the initially quantity

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Let's find.

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Q: Complete the table (x) $'(x) f'(x) = 12 e3x f(x)

A: Here, to complete the given table.

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Q: valuate the integral 3t3 (t2 + 4)5 dt

A: Given problem:- ∫ 3t3(t2+4)5 dt

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A: We have to find out solution

Q: 5. Determine the values of x for which the function is continuous. x + 5 x² – 5x + 4 3x +1 2x2 – 8x…

A: a. fx=x+5x2-5x+4b. fx=x4-x2c. fx=3x+12x2-8x Note:     Multiple parts are given, we are answer only…

Q: If + y = 8 and y(4) = 36, find y'(4) by implicit differentiation.

A: We have to find the derivative

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Q: Select the correct graph for the given function y = 5+log(x+2) > 10 6 ++ 2 -10 -8 -6 -4 -2, 4 6 8 10…

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Q: Given the following cost and revenue functions: C(x) = 10x+ 3 %3D R(x) = 40x– 0.6x? A. Find the…

A: Solve the following

Q: omplete the table for the radioactive isotope. (Round your answer to 2 decimal places.) Half-life…

A: We have to find out the amount

Q: FIND THE GIVEN DIFFERENTIAL EQUATION Exact Equation (1+ Iny-품) dx + (중 * In'y) dy = 0 ; y (2) = 1 2y

A: Given; y(2)=1

Q: dx x+

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Q: ind the indefinite integral and check the result by differentiation. ep 1 Expand the integrand (5t-…

A: Given query is to find the value of the integral.

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A: Solve the following

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Q: Let f(2) = - 8 cos x + 9 tan e f (2) = (-) = C 4

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Q: f (x) = X+10 x²+3

A: The given function,       fx=x+10x2+3

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Q: A manufacturer can produce 5130 cell phones when x dollars is spent on labor and y dollars is spent…

A: Given; 95x^3/4.y^1/4=5130

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Q: Evaluate the integral | 3t³ (t² + 4)5dt

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Q: Find the inflection points of f(x) = 2x* + 11x³ – 9x² + 12.

A: For inflection points , f''(x) =0 .

Q: 8x +6x2 -9 3 2х-2

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Q: 5. Given R(t)= 2 sin ti+5 cos tj+tk. Find T (t) and N(t) of the mov by the given vector.

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Q: /121 - s" 12t – 5t' +9 dt = +C. (b) u14 + 4.5 Jū du =| +C (c) 1 dx = 5x6 +C.

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Q: Siven that y = f(x) passes through (2, 1) and f'(x) = 3x² - 5x, find f(x). %3D

A: Given query is to find the function

Q: a the inflection points of f(x) = 2x* + 11x³ – 9x² + 12.

A: Given query is to find inflection points.

Q: Given the equation x – 2xy = 4, A. What is the slope of the line tangent to the graph of the…

A: