(b) f(x) = 1 1- x' 3 a = 2

Q: Find the average rate of change between x = 1 and x = 5 for the function shown in the table below. X…

A: x−5−4−3−2−1012345f(x)4734231472−1−2−127Average rate of change of f(x) on [a,b] is Average rate of…

Q: Given f(x)dx= 3 and 3 } pixkidk g(x)dx= -1, find 3 158x [5f(x)-2g(x)]dx. ...

A: Integral f(x) is equal to 3 limit from 3 to 12.Integral g(x) is equal to -1 limit from 3 to 12.

Q: Find the intervals on which the graph off is concave upward, the intervals on which the graph off is…

A: The objective of this question is to find the intervals on which the graph of the function f(x) = -x…

Q: A cell culture contains 8 thousand cells, and is growing at a rate of r(t) thousand cells per hour.…

A: A cell culture contains 8 thousand cells, and is growing at a rate of thousand cells per hour.To…

Q: Estimate the area under the graph of f(x) =3x² + 12x + 14 over the interval [0, 3] using five…

A: To estimate the area under the graph of  over the interval  by using five approximating…

Q: A table of values for f(x) = x²-13x+36 x-4 O 3.7 X 3.7 f(x) -5.3 -5.2 -5.1 -5.01 -5.001 Use the…

A: Limx-4-13x+36)/(x-4)

Q: Find all points where the function is discontinuous. TO 16 NO NO 6 18 Ay

A: The graph of the function isTo determine: The points where the function is discontinuous.

Q: 2 x² e ³+1 dx

A: We do only first part of multiple questions.please re-post other parts.

Q: 35. a(t) 36 g(t) = cos 2t; v(0) = 5; s(0) = 7 2t

A:

Q: 2. Find the Maclaurin series of the following functions. 1. f (x) = xm 1-x³9 2. f (x) = x² sin² (4x)…

A:

Q: Question Find the average rate of change of the function in the graph shown below between x = -1 and…

A:

Q: Write the following expression in expanded form. +5 log X+7

A:

Q: Let F (8yz)i + (9xz)j + (9xy)k. Compute the following: = A. div F = B. curl F - C. div curl F= i+j+…

A: F=(8yz) i+(9xz) j+(9xy) k

Q: Problem #7: Evaluate the surface integral f FdS where F(x, y, z) = xyi - y²j-9zk and S is the sphere…

A: Calculate F.dS where  F(x, y, z)  =  xyi − y2 j − 9zk  and  S is the sphere  x2 + y2 + z2  =  9…

Q: you have been asked to design a one-liter oil can shaped like a right circular cylinder. what…

A:

Q: Prove that the equation is an identity. (sin 0 - cos 0)² + 2 cos 0 sin 0 = 1 Working from the…

A:

Q: 7 The rate of change of a population with emigration is given by P'(t) = 300 population in millions,…

A:

Q: Write an equation for the rational function graphed below. The vertial asymptotes are shown as…

A:

Q: Use trigonometric identities to solve the equation in the interval [0, 2). 2 cos ²0-sin 0-1=0

A:

Q: 2η 3. Σ. 1 n=1 nn

A:

Q: Jasper Furnishings has $200 million in sales. The company expects that its sales will increase 13%…

A: The simple linear regression provides us with a mathematical relationship between two variables on…

Q: A particular commodity has a price-demand equation given by p=√14,061 418x, where x is the amount in…

A: The price demand equation is given by  where x is the amount in pounds of the commodity demanded

Q: I Populations of aphids and ladybugs are modeled by the equations dA dt dL dt = 3A 0.03 AL (b). Find…

A:

Q: D ▶Region D is bounded by y=x² and y=x. Draw the region. Set up the integral xdA in two different…

A: Region D is bounded by . To draw the region. To set up the integral in two different ways: in the…

Q: T « A-Z O F(x) = -2x² - 5x 08-²+2x² OPx)=x² + 2x³ OF(x)=x²-2x Of(x)=2x²³ - 3x +3 0-³²- Ox)=³-2x³²+x…

A:

Q: Approximate the area of the region bounded by the graph of f(t)= cos (t/2-/8) and the t-axis on…

A: The width of each sub interval is ( 9π/8 - π/8 )/4 = π/4We can calculate the height of each…

Q: H Use Stokes' Theorem to evaluate Sc F. dr where F = (x + 6z)i + (5x + y)j + (8y-z) k and C is the…

A:

Q: Find the value or values of c that satisfy the equation the following function and interval. f(x) =…

A:

Q: Please answer the below quaestions: If f(x)= g(x)/ x,  and g(x)= x + sinx  ( interval 0, 2π) Find…

A:

Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t) = -0.003t² +0.2t, where…

A: Given that in a memory experiment the rate of memorizing is given by  ,where M'(t) is the memory…

Q: A student council consists of 15 students. (a) How many ways can a committee of eight be selected…

A: Given that total number of students = 15a) number of ways to select a committee of eight= b) Let A…

Q: *P(zx) ulg*J

A:

Q: For which value(s) of x does f (x) = 2x³ – ¹9x² + 19x + 2 have a tangent line of slope 5? If there…

A: The given function is

Q: Sketch the slope field and sketch two solutions for the differential equation. (a)

A: Since you have posted multiple questions in a single request, we will solve first question for you.…

Q: Describe the given set with a single equation or with a pair of equations. The plane through the…

A:

Q: Let u = (5,-4) and v= (-4,7). Find the (a) component form and (b) magnitude (length) of the vector.…

A: The vectors are given by(a) The component form of the vector  can be obtained as follows:

Q: Given [f xydA where region R is the rectangle bounded by (0,0), (1,1), (2,0) and R (1,-1), use…

A: We have given the given integral is, where R is the parallelogram with vertices (0, 0),(1, 1),(2,…

Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) =…

A:

Q: Evaluate the following expression. log77⁹

A: ...(1)                         ...(2)

Q: Find the area of the shaded region. square units 2 + 1 -1 -²4 2 +3 y=x-2 3 4 y=√x

A:

Q: Use symmetry and the fundamental theorem of calculus to evaluate the following integrals. Question 8…

A:

Q: A retail business owner wants to build two adjacent retail stores on a rectangular plot of land. The…

A: The figure

Q: Show that the function f(x) = x4 + 8x + 6 has exactly one zero in the interval [-1, 0]. ... Which…

A:

Q: Find the interval and radius of convergence of the following power series. 1. Σx-1 (−1)” 2″ x” n=1…

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

Q: Find the exact length of the polar curve described by: r = 10e-0 on the interval 9 2 ㅠ T≤ 0 ≤ 9TT.

A: The arc is any part of the Circu mference of the circle. The length of arc can be found by using the…

Q: Find the area under the given curve over the indicated interval. y = 6x² + x +4e4 ; x = 0 to x = 7

A: The given curve .The aim is to find the area under the curve in the interval .

Q: Use the graph to evaluate the limit. lim f(x) X→-1 X G

A:

Q: When Abraham jumps into the air, his height in feet above the surface of the water is given by h =…

A: We have given a function that models the height in feet above the surface of the water, h(t)=-16…

Q: -2 sec x tan x +5 sec x) Find the indefinite integral (- f(-2 -2 sec x tan x +5 sec²x) dx dx=

A: To Find: To evaluate the given integral.

Q: Use Newton's method to find the positive fourth root of 5 by solving the equation x4-5=0. Start with…

A: .