So If fis continuous and f(x) dx = 20, evaluare let U = 3x f² f(3x) dx.

Q: Evaluate: 1. lim [√x² + x − √x² + 4] = X→ +∞ 2. lim [(x²-In(x + 1)) cotx] -0-x

A:

Q: The graph of the polynomial f(x) is given below. If f(x) has degree 3, find the factored equation…

A: One root is -2 and this graph touches the x-axis at x=4 so this is repeated root of f(x)

Q: Use polar coordinates to find the volume of the given solid. V = Below the paraboloid z = 1 - x² -…

A:

Q: y-values 6 8 7 6 5 4 32 1 If f(x) = f'(1) = g(x) h(x) ' g(x) 2 3 x-values then 4 Out y-values S 4 3…

A: To find the derivative of f(x) at x=1.

Q: 4. Which of the following quadratic functions have roots at x=3 and x=-2? Choose all that apply. (A)…

A:

Q: The tangent line to y = f(x) at (9,-10) passes through the point (6,-5). Compute the following. a.)…

A: Given query is to find the value of function and derivative at x = 9.

Q: Find a and b so that the function is both continuous and differentiable. a = b = f(x) = (6x³8x² +8,…

A:

Q: A particle is moving along the curve y = 4√4x + 4. As the particle passes through the point (3, 16),…

A: A particle is moving along the curve y=44x+4. As the particle passes through the point 3, 16, its…

Q: A) Evaluate S x √4x² de by letting u = 4 - x²

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Graph the polynomial given below by first selecting the number of points you will need, then move…

A:

Q: Check that the point (1, -1, 1) lies on the given surface. Then, viewing the surface as a level…

A:

Q: Il Inverse trigo functions 1.y = √x² - 4 + 2arc(csc)

A: y=x2-4+2arccscx2

Q: Suppose a company has fixed costs of $33,600 and variable cost per unit of x + 222 dollars, where x…

A:

Q: K How long will it take money to triple if it is invested at 8% compounded semiannually? 7.4%…

A:

Q: Let f(x)=√-4x-1 f′(x)= f″(x)=

A: Given query is to find indicated derivative.

Q: Solve the ff. first order DE using Separation of Variables 2 a. xy¹dx + e*dy = 0

A:

Q: 27 44. Evaluate cos as cos 12 3

A: Given expression, cos11π12

Q: 2) Consider the function f(x) = x + sin x defined only for x € [1,4]. Fill in each blank with a…

A:

Q: For what value of p does the sum of roots of the equation 6x² - 3px + 5 = 0 equal the product of…

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) lim arctan(eX) x → ∞0

A: We have, limx→∞ arctanex

Q: Use the chain rule to find the derivative of f(x) = 4√9x7+7x10 Type your answer without fractional…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the following using the table below. 2 3 4 1 2 2 4 1 1 3 X 1 f(x) 3 4 ƒ'(x) 1 3 34 g(x) 2 g'(x)…

A:

Q: For the given function, find all as f(x) = 2 Ex 7x² + 12x - 4 +1

A:

Q: A line has the equation  y = 9x + 1. (a) This line has slope  ?. (b) Any line parallel to this…

A:

Q: S x2tan-1xdx

A:

Q: Find the directional derivative of the function f(x, y, z)=√xyz at the point (3, 2, 6) in the…

A: The given function fx,y,z=xyz We have to find the directional derivative at the point 3,2,6 in the…

Q: Find all vertical and horizontal asymptotes. 101 y 5- -10- Vertical Asymptote(s) Horizontal…

A: A vertical asymptote is a vertical line along which the function goes towards infinity or -infinity.…

Q: A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the…

A:

Q: 1. Let y=f(x)= 4x² 4x + 1

A:

Q: Use the chain rule to find the derivative of f(x) = 4√/10x¹⁰ + 6x6 Type your answer without…

A:

Q: E. Generate solution of the first-order differential equations using 1. Separation of variables/…

A:

Q: Find a parametrization of the parabola x = y². Don't forget an interval for the parameter. (Hint:…

A: Please see the below picture for detailed solution.

Q: Write an equation for the parabola whose graph is given below. Enter your answer in general form.…

A: Topic- Equation of a parabola We are given a graph of a parabola with vertex at (-4,3) and passing…

Q: Find the equations of all lines having a slope -1 that are tangent to the curve y=1/x-4

A:

Q: 1. Consider the hyperbola with foci (-6, 1) and (-6, -9), and a vertex at (-6, -1). a. Give the…

A: Given:- foci of hyperbola -6,1 and -6,-9 and vertex -6,-1

Q: The highway mileages of 147 cars are in a file named CARS2.+ These cars are 2003 models. Find the…

A: Mean Formula The mean formula is defined as the sum of the observations divided by the total number…

Q: Consider the ellipsoid x² + y² + 3z² = 8. Find all the points where the tangent plane to this…

A:

Q: f(x)= 9x x2+8x + 15 Vertical asymptotes: x= -3, x=-5; Horizontal asymptote: y = Vertical asymptotes:…

A: Topic:- application of derivatives and calculus

Q: C) Evaluate m√m - 1 dm D) Evaluate 32 dy

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: What is an even function? An odd function? What symmetry properties do the graphs of such functions…

A: A function f(x) is said to be an even function if f(-x)=f(x)and a function f(x) is said to be odd…

Q: Find equations of all lines having slope -3 that are tangent to the curve y=3/x-8

A: y=3x-8we need to find the line that are tangent to this curve

Q: i can't understand what is typed out

A: To solve the integral. As per our guidelines we are supposed to answer?️ only one question. Kindly…

Q: The weekly demand equation given by p+ x + 4xp = 55, where x is the number of thousands of units…

A: Given query is to find the rate of change of demand.

Q: A sales team estimates that the number of new phones it will sell is a function of the price that it…

A:

Q: What is the integral of csc3xcot2x dx?

A:

Q: 3 x² + y² the direction of (−3, −3). Then, Suppose f(x, y) (a) ▼ ƒ (x, y) (b) ▼ ƒ(1,4) = = = 1/77…

A: This question can be solved using the concept of derivatives and vectors.

Q: Set f(x) = 1 7x³ + 3x + 2 . The point 1, 11/12) is on the graph of f. Find (ƒ-¹) (12)

A: we need to find f-1'112

Q: en h(x)= x³f(x) g² (x) XT) and f(1) = 1, f'(1) = -1,g'(-1) = 3,g(-1) = -2, find h'(- 1²0100

A: Topic:- function and its derivatives

Q: Find an equation of the line that satisfies the given conditions. x-intercept −10; y-intercept 8

A: given data x intercept =-10 y intercept = 8 this is question of geometry cartesian further…

Q: (26-29) The graph of f' (the derivative) is given: pts each) 26. Identify the open interval(s) where…

A: According to our guidelines,i can solve only first three subparts only,please reroute the remaining…