, find the range of the function f(x) = 2x² + 12x – 3.

Q: lim (9X+1) ² X→-1

A:

Q: 1. Differentiate. a) f(x) = x43x b) g(x) = x² — e√x -

A: We need to perform differentiation.

Q: Find the first partial derivatives of the following function. 8u 5v + 7w F(u,v,w)= F₁ = Fu

A: given

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: Given :- To find :- The value of the integral.

Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

A: Note:- As per our guidelines, we are supposed to answer only one question with a maximum of three…

Q: The total monthly revenue R(x), in dollars, generated from sales of Math t-shirts is related to the…

A:

Q: V9-4x2 x2 dx

A: Here we have to evaluate the integral,.

Q: Find the limit or state that the limit does not exist. 2x²-2x-24 9-x lim X-3

A:

Q: 5. Which equation can be solved by referencing the graph below? -1/2 -11/4 3 cosx – 1 = sinx O…

A: The range of both cosine and sine function is .The value of the sine function is zero for all…

Q: Find functions f(x) and g(x) so the given function can be expressed as h(x) = f(g(x)). (Use…

A: Here the given function is .Required :We have to find two non-trivial functions for which .

Q: 8. A laptop computer's battery has a voltage drop modelled by the function t V(t) = 20e 16, where V…

A: A laptop computer's battery has a voltage drop modelled by the function  where V is measured in…

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A:

Q: 2. Determine the Cartesian equation of the plane containing these lines: z+2 x-5 z+5 3 and L₂: *5 =…

A:

Q: ←++ -10-9-8-7 (If the limit does not exist, enter Ø.) 10 9 8 7 6 5- 4+ 3+ 2+ 1+ -3+ Y -4- II T ст н…

A:

Q: If the number of fruit flies F increases at a rate that is proportional to the number of flies…

A:

Q: The population of rabbits in a controlled system can be described by P(x) = x² + 18x + 19, where x…

A:

Q: For which of the following graphs, the limit exists? I. Graph of f Only (III) (I) and (III) only…

A:

Q: 25. Determine the value of k so that f(x) is continuous. Show work. x² - k 2x² + 7x-22 x≤2 x>2 x-2…

A: A function f(x) is said to be continuous at a point a, if Left hand limit and right hand limit and…

Q: Determine the Cartesian equation of the plane containing these lines: y+10 z+2 L₁: = +70 = 23² and…

A: Normal vectorof the plane would be perpendicular to both the lines L1 and L2. So, parallel to L1xL2.…

Q: j(x) = X 9. j(5) = x-5 X j(x) 10. lim j(x) as x->5 = 11. j(0) =

A: J(x)=(x-5) /x

Q: Instruction: MAT 143: Algebra and Trigonometry ✓Answer Must be Handwritten ✓ Question No: 2 question…

A:

Q: 1. Use the graph off to state the value of each statement if it exists. a. lim f(x) x-1- b. lim f(x)…

A: As per guidelines, At a time only three sub-parts can be answered.Please repost for other…

Q: Consider the following. f(x, y) = 4y У4 2 1.² y = 3x - x² 70 D y = x (a) Express the double integral…

A: Given,  then we have to answer the following...

Q: 1. Complete the following analysis for the function f(x) = = Note that the first and second…

A:

Q: A well stirred tank originally contains 100 gal of fresh water. Then brine containing 1/4 lb of salt…

A:

Q: The position of a baseball (in ft) is represented by r(t) = 55√2ti + (4 + 55√√/2t - 16t2)j. Find the…

A:

Q: Determine whether the following improper integral converges and, if it does, calculate it: S [Hint:…

A:

Q: if f(x)= xe^x, determine f^(400) (x)

A: To determine the 400th derivative of the function f(x) = xe^x, we can follow a systematic approach…

Q: Using the Washer Method, compute the volume of the solid of revolution generated by revolving the…

A:

Q: Let f(x, y) = 2x² + 3x + 4y+3y² - 10zy List the critical point: The critical point is a Select an…

A:

Q: 2. Differentiate each of the following functions. Leave in unsimplified form. c) 2x+5 y=-x² d) y =…

A:

Q: In exercises 13-15, let s be the hemisphere2 + ² + 2 = 4, with z ≥ 0, and evaluate each surface…

A:

Q: Which equation is the polar equivalent to the equation y = -√√3x? 0 = O 0 = Col 0 0 = 25 0 0 = 5T

A:

Q: Using the substitution u = 1+x^2, convert the integral into one involving only the variable u. You…

A:

Q: Evaluate the limit. x - 4xy x-4y lim (x,y) → (12,3)

A:

Q: Evaluate each expression based on the following table. x −3 −2 −1 0 1 2 3 f(x) 2 3 5 2 −2 −1.5 1.25…

A:

Q: Find the Volume V(S) of the solid S generated by given R: R is the region bounded by y=6-x² and…

A: To find the volume  of the solid S generated by given R: R is the region bounded by  and  and it is…

Q: Assume that F(x,y,z(x,y)) = 0 implicitly defines z as a differentiable function of x and y. The…

A: Assume that  implicitly define  as a differentiable function of  and .The partial derivatives of…

Q: Find the transition matrix from B toB'  B = {(1, 0, 0), (0, 1, 0), (0, 0, 1)}, B' = {(0, 0, 1), (1,…

A: Given :- To Find :- The transition matrix from B toB'

Q: Find the volume of the solid enclosed by the surface z = x2 + xy2 and the planes z = 0, x = 0, x =…

A: The solid surface is enclosed by:- and the planes

Q: Convert the rectangular coordinates of each point to polar coordinates. Use degrees for 0. 5. (√3,3)…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: j(x) = x=5 X X 9. j(5) = j(x) 10. lim j(x) as x->5 = 11. j(0) = 12. lim j(x) as x->0 from the left =…

A:

Q: Find the first partial derivatives for f(x,y) = 3x cos (xy). =0

A:

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x³+y³…

A:

Q: 6. The function f(x) is defined by the graph. State the value of each: e) lim f(x) = x →4 f) lim…

A:

Q: 4x³-13x²+3x+2 x²-4x+3 dx

A: I=

Q: Consider A ABC, where a = 8, c = 11, and m/C = 33°. What are the measures of the missing angles and…

A:

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)=2e* cos (yz), Po(0,0,0),…

A:

Q: for what value of the number k does the function f(x)= (1+kx+x^2)e^x have f'(0) =3

A:

Q: 2. Given that lim x-3 2 x² +ax+b x² + ax+b x²-9 2 lim x-4 the values and a and b. 2 x-9 and = 2,…

A: