use the vortex (h,k) and a point on the graph (x,y) to find the general form of the equation of the quadratic function.  (h,k) = (-6,3), (x,y) = (3,7) f(x) =

Q: The population of Toledo, Ohio, in the year 2000 was approximately 490,000. Assume the population is...

A: Given:- The population of Toledo, Ohio, in the year 2000 was approximately 490,000. Assume the popul...

Q: Write the quadratic function in standard form. f(x) = x2 - 6x f(x) = (x-3)2 +4.5 x | Sketch its grap...

A:

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 17) y =x*in x -x3 A) 4x3 - x2 C...

A: Given, Find derivative of y=x4lnx-13x3 with respect to x

Q: (b) The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% p...

A:

Q: 13. The sum of two numbers is 37. If the larger is divided by the smaller, the quotient is 3 and the...

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: Find the solution of the following initial-value problem d?y, dy dy + 4y = e", y(0) = 1, (0) = 2 dr ...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliar...

Q: The demand for a certain commodity is D(x)  =  1000e−.02x units per month when the market price is...

A:

Q: Let a = 3i – 6j + 4k and b = 2i + j – 2k. a Find c, the vector component of a perpendicular to b. b ...

A:

Q: Three times a number is two or more than twice the other. If the sum of the numbers is nineteen, wha...

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Q: Use the given functions to find each of the following and their respective domains. Do not try to si...

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Q: (IV) Give the standard form for the 3D TANGENT LINE to the associated curve: r (t) = ( 2 sin (t), 3 ...

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Q: Integrate the given series expansion of f term-by-term from zero to r to obtain the corresponding se...

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Q: x5tan(x²) sec²(x²) dx

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Q: Let f(x) 11 In(x). Then f'(x) is andf (8) is f"(2) is and f(8) is

A: Use differentiation for finding the values 

Q: vis question has several parts that must be completed sequentially. If you skip a part of the questi...

A:

Q: . The equations x + y = 2 and 2x + 2y = 8 are examples of equations which are

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Q: Find ​(f◦​g)(x) and ​(g◦​f)(x) and the domain of each.   ​f(x)=x+19​, ​g(x)=x−19         Ques...

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Q: AY 10 4 2+ 0.5 1 15 2. 2.5 3

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Q: For the function f whose graph is given, state the value of each quantity, if it exists. (If an answ...

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Q: Find the limit if it exists. lim (3x+ 8) X -4 ... Select the correct choice below and, if necessary,...

A:

Q: Which of the following sets is denumerable? A.) [1, 20) B.) { 1.9, 1.99, 1.999, 1.9999, 1.99999, . ...

A: Which of the given sets is denumerable? An infinite set is denumerable.

Q: x2+6x+8 14. f (x) = x2+7x+12

A: Find the asymptotes of the given functions. 14. fx=x2+6x+8x2+7x+12  

Q: x² x² + x + 20

A:

Q: Find an equation of the tangent plane to the surface at the given point. 6x² + 2y² + 4z² = 30, P= (2...

A: NOTE: Refresh your page if you can't see any equations. . the function f is 

Q: x2+6x+8 . f (x) = %3D x²+7x+12

A: Herei s the solution

Q: Compute the derivative of the following function. You do not need to graph it. g(x) = sin x· cos x

A: The given function is:gx=sinxcosx

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

A:

Q: Simplify. V25 The answer is

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Q: Find the derivative of f (x) = arcsin (x²). 2x f' (x) = 1-a4 f' (x) V1-x4 2x O f' (x) = V1-a² O f' (...

A: Use differentiation of trigonometric function

Q: B. EXACT EQUATIONS Find the general solution of the following differential equations (1) (x² + y²) +...

A: Solution is given below:

Q: Find the linear approximation to f(x) cos(x) at x = 0. O L(x) = O L(x) = 1 O L(x) = 1+ x O L(x) = 1 ...

A:

Q: 1 Compute 7' (t) where 7(t) : t+1

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Q: Compute lim 7(t) where 7(t) t-2 1 V1 - t, t t+1

A: It can be solved using simply putting limits.

Q: Subtract. Simplify by collecting like radical terms, if possible. 4/5 - 10 /5 4/5 - 10/5 =O (Type an...

A: This can be solved as follows:

Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms and radi...

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Q: Divide and simplify. V98 2 198 2 (Simplify your answer. Type an exact answer, using radicals

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Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty o...

A: We have to find P value and point.

Q: Find the radius of convergence for: Σ (- 1)"2" n=1 Vn+4

A: use the formula for radius of convergence for the  

Q: 11. The sum of the digits of a two digit number is 12. If the digits are reversed, the new number is...

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...

Q: In the adjoining figure u and V are unit vectors. Evaluate the following and input your numerical an...

A:

Q: Use logarithmic differentiation to find the derivative of y. 22) y = 1 B) - |(Inx - In(x - 7)) D) X-

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Q: Simplify by rationalizing the denominator. 1

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Q: A cliff diver plunges from a height of 36 ft above the water surface. The distance the diver falls i...

A: Here we have to find the time when the diver hit the water and also the velocity.

Q: 37) y= sec V–3x² +4

A: Given:- y=sec-3x2+4 To find:- Differentiate given function with respect to 

Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms, fractio...

A:

Q: direction of maximum rate of increase: Determine the rate of change in that direction. (Give an exac...

A: We have to find direction of maximum rate of increase and rate of change.

Q: Find all the values of x such that the given series would converge. (-1)"2" 11" (n2 + 6) 7=D1 The se...

A:

Q: 6. Suppose h(r) = (f(r) + VT) · g(r), f(4) = 3, g(4) = -1, and f'(4) = g'(4) = 5. What is h'(4)? Exp...

A: Given h(x) = (f(x)+x )·g(x)h'(x) = d( (f(x)+x )·g(x))dx

Q: If f(x) – 5 + 3x 5a, find f'(3).

A:

Q: 1. Find the area of the shaded region. 3 y = Vx X 4 y = -x а.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first quest...