Let f(x) = -x² + ax + b. Determine the constants a and b such that f has a relative maximum at x = 3 and the relative maximum value is 12. a = b =

Q: where x = (1-y)-¹. (a) z = x² – ³x + √ ₁ + P²₁ Find the partial derivative of z with respect

A: To solve the following problems of finding the derivatives.

Q: 27) The value of a 2003 Toyota Corolla is given by the function v(t) = 14000(0.93') where t is the…

A:

Q: By the Horizontal Line Test, the graph below represents a one-to-one function.

A: Horizontal line test - If a horizontal line intersect the graph of a function more than once…

Q: Graph the following function using transformation techniques. p(x) = 1/2x²

A:

Q: Question 4. Evaluate the integral. In 2 1² [™½ dx dy y 0 e X

A:

Q: Find the domain of the function. (Enter your answer using interval notation.) X f(x) 64 x²

A:

Q: Use a double integral to find the volume of the solid bounded by the planes 2x + 4y + z = 4, x = 0,…

A:

Q: Let Sn = Σa; be the nth partial sum of the series Σ an. Suppose that Sn is given by Sn = 5- 2 i=1…

A: Note :As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: For the following function, find the Taylor series centered at x = 6 and give the first 5 nonzero…

A: Please see the below picture for detailed solution.

Q: The plane containing the point (2,-3,1) and parallel to the plane 4x + 8y - 4z = 3 has equation…

A:

Q: Question Given h(x) = sec(-4x²-3x + 2), find h'(x). Provide your answer below: h'(x) = Content…

A: Given query is to find derivative.

Q: The function S(t) gives the average annual sea level in meters in a particular city as a function of…

A:

Q: A catalyst works by O providing an alternative mechanism pathway, which produces different products…

A: Please see the below answer.

Q: Given the continuous graph of f'(x), find the following:  A. On what interval is f decreasing and…

A: as per company guidelines we solve only first three subpart when multiplie part question being…

Q: Evaluate the function at the indica |x| X f(-9) f(x): = f(8) = = =

A:

Q: x(t) Find the point at which the line y(t) = z(t) = = 6 + 2t -3-2t intersects the zy plan - 5 - 4t

A:

Q: Approximate 191/4 using the Linear Approximation L(x) of f(x) = x¹/4 at a = 16. (Use symbolic…

A: Given: f(x)=x14, a=16 As we know that equation of tangent line is given by: y=f(a) + f'(a)·(x-a) Now…

Q: The balances in a checking account are recorded once every week. The balances over a four week…

A:

Q: For the quadratic function f(x) = 2x² - 2x-3, answer parts (a) through (c). Verify the results using…

A:

Q: Assume that z = f(x, y) is a continuous function over the region R. Assume a = 2. a R r=a a x…

A:

Q: Find the point on the plane x + 2y + 4z = 18 closest to the point (1,1,1).

A:

Q: Evaluate (if possible) the vector-valued function at each given value of t. r(t) = t²i – (t − 1)j

A:

Q: X= 16x +31x²2 =2 (Simplify your answer, including any radicals and i as needed. Use integers or…

A:

Q: Find the unit tangent vector of the given curve. r(t) = (5 + 10t²)i + (8 + 11t²)j + (5 + 2t²)k T= i…

A:

Q: For the quadratic function f(x)=x²-2x-8, answer parts (a) through (c).

A:

Q: A. Determine the derivative of the following fonctions waing chain rule. 1.) f(x) = (4x²-5x - 12) s…

A:

Q: nd the maximum and minimum values of the function f(x, y, z) = x²y²z² ubject to the constraint x² +…

A: To find the maximum and minimum values by langrage multiplier

Q: These are examples of multiple choice questions. Depending on the number of choices, you might be…

A:

Q: Consider the following function. 864 X g(x) = 2x² + + 12

A:

Q: (a) Determine which of the following statements are correct. Select all that apply. sin (1) = 0 O…

A: according to bartleby policy we do only first part (a)  (i)  we know sin(0)=0sin(π2)=1

Q: 49. e² = xyz (ar and az/av

A:

Q: Express the integral ſf (x + y) dA as an iterated integral using polar coordinates if R is the…

A:

Q: The position of a particle as it moves horizontally is described by the given equation s=sint-cost…

A: Given: s = sint - cost , 0≤t≤2π where s is the displacement in metres and t is time in seconds. To…

Q: The graph in the figure is a horizontal and/or vertical shift of the graph of y=x². Find a formula…

A:

Q: One of the following statements is true. Select the true statement. Olf f" (a) 0 for x = (3,6),…

A: Use the concept of increasing, decreasing, concave up and concave down of a given function.

Q: cos³ ti+ sin³ tj +0 k, 0≤ t ≤/2 (Hypocycloid example 2 of 11.8) 3

A: we will find the required arc length.

Q: What is the equation of the midline of the function f(x) = 5.6 sin (1.2x2.3) +1.8? y = -2.3 Oy=-1.8…

A: f(x)=5.6sin(1.2x-2.3)+1.8we know mid line of sin function is x-axis on x-axis y is zero

Q: Find the absolute maximum value of 2 -1/² - 3x + 2 on the interval [0, 2].

A:

Q: As an object in rectilinear motion moves, its signed distances from the origin after t seconds is…

A:

Q: Use the intermediate value theorem to show that the following equation has at least one nonzero…

A: By using the intermediate value theorem to show that the following equation has at least one nonzero…

Q: Prove formally that for all a > 0, function af (x) + g(x) is also a concave function.

A: Let’s say we have a function f(x),  If for every value of x, if f”(x) < 0 then the function f(x)…

Q: When a new product is advertised, more and more people try it. However, the rate at which new people…

A:

Q: Use Stokes' theorem to evaluate JC F. dr. F(x, y, z) = zexi + (z − 6y³)j + (x - 7z³)k, C is the…

A:

Q: Determine all of the solutions in the interval 0° ≤ 0 < 360°. (Enter your answers as a…

A:

Q: Find fax, fxy and fy for the function f(x, y) = 3x³ + 3xy² + 2x³y² + 3y² Select one:

A:

Q: This example illustrates the different ways you can enter algebraic expressions. You can always use…

A: Answer below

Q: (ST 14.3 EXERCISES 1. The temperature T (in °C) at a location in the Northern Hemi- sphere depends…

A: a) The partial derivative ∂T∂x, represents the rate of change of temperature with respect to change…

Q: 27. Given K = x, K = 1.8 x 10-5, b = 1.33 × 10-³, a = 4.18 × 10-¹, calculate x and express the…

A: Use the given relation we can find x

Q: y = esx

A:

Q: The reaction of A and B was studied and the following results were found. Rate Exp [A] [B] (mol…

A: we can see that clearly  by data that(i) When we half the concentration. of A from 0.400 to 0.200…