Express your answer as a polynomial in standard form. f(x) = -3x + 5 g(x) = x² + 2x + 15 Find: (gof)(x)

Q: Consider the following function. T 3 π f(x)=sinx, a ==, n=4, 0≤x≤: 6 a) Approximate f(x) by a Taylor…

A:

Q: Consider the functions f(x) = 6 arcsin (6x) g(r)= 12arctan (a) Find the derivatives of f(x) and…

A:

Q: Given the definitions of f(x) and g(x) below, find the value of (fog)(-4). f(x) = 3x² + 6x – 13 g(x)…

A:

Q: 8. Evaluate the definite integral. a. 6 e² + 18 e² + 18z dz

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

Q: The approximate rate of change in the number of design patent applications received in recent years…

A:

Q: Sketch the graph of the quadratic function. f(x) = x² — 20x – 800 - -

A:

Q: The graph of a one-to-one function f is given. Draw the graph of the inverse function f¹. For…

A: The graph of a​ one-to-one function  is given. To draw the graphof the inverse function .

Q: If f(x) = 15 to dt then f'(x) =

A: Note:-Since you asked multiple questions according to our policy we can answer only first question…

Q: Find the Derivative and the Line Tangent to a Curve at a Point. 2 (-2x - 3)² Given that R(x) R'(x)…

A:

Q: Evaluate the following limits algebraically. 1. lim x---> 2      {5x - 7; x = 2

A: Note:-Since you asked multiple questions according to our polcy we can answer only first question…

Q: Evaluate S 2x + 1 (4x + 3)(x + 1) - dx

A: Consider the integral

Q: Set up and evaluate the triple integral needed to compute the volume of the solid bounded above and…

A:

Q: Find the ninth term of the binomial expansion. (p+q) ¹¹

A:

Q: Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and…

A: Here

Q: Find the limit of the sequence as n approaches infinity: 5n 3 5n+ 5 an - -

A:

Q: The figure below shows the graph of a function over the closed interval [-1,2] y = f(x) OU

A: As we can see from the graph, the function has a very sharp turn at x=0So at x=0, the function is…

Q: Find the cost function for the marginal cost function. 7 C'(x)=9x; 10 units cost $171.99 X Write the…

A:

Q: Sketch the graph of the piecewise-defined function. Write the domain and range of the function. |x,…

A:

Q: The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x) = x (20x²…

A: The given marginal profit function , where  is the amount of cheese sold in hundreds of pounds.The…

Q: 6. Evaluate the indefinite integral (use C for the constant of integration). a. b. C. f(3x -…

A:

Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

A: Given that the polar curve

Q: 56. The length of required to enclose a rectangular field is 3000 meters. What are the dimensions of…

A: Let the length of the rectangular field=x mLet the width of the rectangular field=y mThe figure of…

Q: L³₂x³dx -2 2 1 x+0.5 dx

A:

Q: Find the mass of a lamina bounded by y=5√x,x=9,and y=0 with the density function σ(x,y)=x+1

A:

Q: 1. Find the area between the two curves. Be sure to show the representative rectangle in the 1st…

A: Given functions are,y=f(x)= 8 cos x and y=g(x)= sec2x

Q: Evaluate the following limit lim X→∞0 O O O O I 8 0 10/00 8 −5x² +6x³ + 3x² − x 8x² − 2x³ + 3x - 8

A:

Q: The function C(t)=C0(1+r)t models the rise in the cost of a product that has a cost of C0 today,…

A:

Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

A: Given,a(t)=t+4v(0)= 70=<t=<10

Q: Find the surface area generated by rotating the given curve about the y-axis. x = 6t², y = 4t³,…

A:

Q: Use special limit rules to discuss your response, you may use any graphing tool to support your…

A: In a n-sided regular polygon, the angle made at the center is the division of the total angle of a…

Q: Find the exact area of the surface obtained by rotating the given curve about the x-axis. x = a cos³…

A:

Q: Find and simplify the difference quotient f(x) = 8 f(x+h)-f(x) h h#0 for the given function.

A:

Q: Evaluate the integral: O x ○ x = 3 sec (0) 0x = 8 sin(0) (A) Which trig substitution is correct for…

A:

Q: Evaluate in Cylindrical Coordinates D bounded by z= x² + y² and the plane z = 1 ff zdxdydz stealevi

A:

Q: Considering the interval [−2, 4], does the Mean Value Theorem for integrals hold for f (x) whose…

A:

Q: 6. Find the equation of the line tangent to the following functions ate the given points. a. y = x²…

A:

Q: Find the integral. Use C for the constant of integration. | (x² (y² + 3)² dy

A: The objective of the question is to find the integral of the given function with respect to y. The…

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: Given,

Q: Evaluate the limit lim x →0 O -1 1 18 1 9 √81-x-9 X

A:

Q: = sin(x),0 ≤ x ≤ π

A: Given that the expression

Q: Highest point on the major axis: (2,11) Lowest point on the major axis: (2,-1) Rightmost point on…

A: The given equation of ellipse

Q: Which of the following represents the limit definition of the definite 16 integral 26 4x5 dx using a…

A:

Q: Determine whether the series converges or diverges. Σ 5 sin (²) n n = 1

A: The given series is

Q: Minimizing Heating and Cooling Costs A building in the shape of a rectangular box is to have a…

A: We have to find the dimensions of the building that will result in a minimal annual heating and…

Q: Evaluate the following limits algebraically. 2. lim x---> 2^-      (x+4) / (x^2 + 2x - 8) 4. lim…

A: To evaluate the following limits.

Q: Find the arc length for the curve c(t) = (t³ + 1, t² – 3) over the interval 0 ≤ t ≤ 1.

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

Q: Find all exact solutions on the interval 0 <0 < 360°. If there is more than one answer, enter them…

A:

Q: Find all exact solutions on the interval 0 < x < 360°. If there is more than one answer, enter them…

A:

Q: 1 se sec4 x tan x dx

A:

Q: Note that: An interior point of the domain of a function f where f' is zero or undefined is a…

A: