Find the absolute maximum and absolute minimum values of f(x) = x³ + 3x² − 45x-10 on [-8, 2] along with where they occur. " The absolute minimum value is The absolute maximum value is , occuring when x = occuring when x =

Q: (-1,4) (2-2) Intervals of x-values where f(x) is concave up Intervals of x-values where f(x) is…

A:

Q: Let u = (5,5), v = (1, 3), w = (17,-4). Find the vector x that satisfies 3u2v + x = 6x + w. NOTE:…

A:

Q: Consider the function in the graph to the right. The function has a maximum of at x = The function…

A: The function has a maximum of -1 at x = -3, meaning that the function reaches its highest value at x…

Q: 11. Practice similar Help me with this Find the area under the curve y = 4xe¯ª for x ≥ 0. area = -

A:

Q: sin Ꮎ cos2 0 -cos Ꮎ - 2 2. f . - dᎾ

A: #2 Given, ∫sin θcos2 θ-cos θ-2dθ

Q: Make a table of values that shows the function values of f(x)=x²-1 together with those of g(x)=3*…

A: f(x)=x2-1g(x)=3x

Q: Identify the x-intercepts for: f(x) = x² + 5x+6

A: To find x-intercepts for a function f(x),  Put f(x)=0

Q: The total cost (in hundreds of dollars) to produce x units of perfume is C(x)= 4x-1 8x + 5 (a) Find…

A: Average cost is ratio of total cost and number of units and marginal average cost is derivative of…

Q: Please help to solve this into detail. Thank you.   1) Find an equation of the plane tangent to…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find y as a function of x if y" - 7y" +12y = 18e", y(0) = 25, y'(0) = 26, y'(0) = 25.

A:

Q: In(x) x² -dx

A:

Q: The region enclosed by the the curves x - y = 1 and y=x² - 4x +3 is rotated about the line y = 3.…

A:

Q: 4 Replace the polar equation r sin 0-3 cos with an equivalent Cartesian equation. Then identify the…

A: Put x=r cosθ , y=r sinθso r=4 sinθ-3cosθgives, r sinθ-3r cosθ=4or, y-3x=4or, y=3x+4 This is the…

Q: Find and sketch the domain of the function. f(x,y)=√√y-5x-7 Find the domain of the function. Express…

A:

Q: 5-6 Find the area of the shaded region. 5. y = x³ - 3x (-2, 2) YA 0 (2, 2) y = x X

A: Application of integration

Q: By the Horizontal Line Test, the graph below represents a one-to-one function. - O True 111 O False

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

Q: -1 The function f(x) = 3x + 9x¯ has one local minimum and one local maximum. This function has a…

A:

Q: P f(x) dx = 8, prove that f takes the value 4 at least once on the interval [1,3]. there is a value…

A:

Q: Give examples of sets of three vectors that are Collinear Coplanar  Not coplanar Explain your…

A:

Q: 2 1) Fird dy using implicit differentiation X² + y ²³ = 7xy 2) Find the ein of the normal line to…

A:

Q: The following are configurations of the revolved differential strip and the axis of revolution in…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the given specified axis. 6…

A:

Q: We know how to determine if a given table with x and y represents a function of x or not. In this…

A: x is a function of y    here we find value of c by equating two values at same point

Q: Find and classify all critical points of f (x, y) = ax^n + by^n where ab cannot equal 0 and n ≥ 2

A: Given function is f(x,y)=axn+byn,  a,b≠0 and n≥2

Q: Biologists have proposed a cubic polynomial to model the length L of rock bass at age A: L =…

A:

Q: Determine the open intervals on which the graph is concave up or concave down. If there is more than…

A: NOTE: Refresh your page if you can't see any equations. . to find the undefined points, take…

Q: Express the integrand as a sum of partial fractions and evaluate the integra 0x²+2xx-x O 6…

A:

Q: Question 6 Determine the center of mass (x, y, z) of the homogeneous composite solid with a…

A: Determine the center of mass?

Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z)= In (3z-2x³-2y²-2) b.…

A:

Q: The graph of a function f and a tangent line to f at the point B are shown in the figure below.…

A: Given: The graph of a function f and a tangent line to f at point B are shown in the figure below.

Q: 6. y = x2 (-2,4) УА О (1,6) (2,4) 3y=2x + 16 y=-2x+8 X

A:

Q: Could a step by step solution be provided with this question? Many thanks.

A: We will find the required.

Q: Find the area of the region bounded by the graphs of the functions: f (x) = sin 2x and g(x) = cos 4x…

A:

Q: Find dy/dx in terms of x and y if cos2(7y)+sin2(7y)= y +9

A:

Q: II. Identify the equation of the slope of the tangent line, the slope, and the equation of the…

A:

Q: - -5 -4 3 -2 -1 3 n 7 n J 7 23.

A:

Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z)= In (2z - 4x³ - 4y - 1) 1…

A: The function f(x,y,z) is continuous if the limit at each point is existing and is equal to the…

Q: Find the components of the vectors. (a) (1,5) (4,1)

A:

Q: a. Find the Laplace transform F(s) = L{f(t)} of the function f(t) = 2 + sin(6t), defined on the…

A:

Q: What is the area of this figure? 6 ft 4 ft 6 ft 7 ft 2 ft 6 ft 9 ft Write your answer using…

A: Ans: Total Area=81.5 square feet  For detail....go through the solution...I have solved step by step…

Q: Model the data using an exponential function f(x) = Abx. 0 1 2 f(x) = X f(x) Need Help? 400 Read It…

A:

Q: Evaluate the integral using s integration by parts (3 (r³ +9r² + 1)e³r dr

A:

Q: Simplify. Y -2x -1 yx ° -2yx 6x² - 5x [6²² 8yx 6x² - 5x [62³% 2yx 6x² - 5x 162² [152² 2yx 15x²–5x…

A: It's simply a matrix multiplication. Use the raw into column multiplication of matrices.

Q: Write a mathematical model for each of the following statements. Use k as the constant of variation.…

A:

Q: Maximizing Profits A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of…

A: We first find the profit function.  P(x)=R(x)-C(x)P(x)=px-C(x)P(x)=(10 − 0.0003x)x-700 + 8x +…

Q: 19. ſ² z² In z dz 0

A:

Q: 6л Graph the set of points whose polar coordinates satisfy the equation 0= 7 бл Choose the graph…

A:

Q: find the derivatives of the functions using the product rule. 1. √√625x² ⇒ √625 - x² x20 2.

A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A:

Q: 4. Find the gradient of the line normal to the tangent line of the function y=√√(x+2) (2-3x) at x =…

A: To find the gradient of the line normal to the tangent line of the function  y=x+22-3x at x=2.