Draw a graph of a function that satisfies the following properties.  1) f(x) <0 for x<0 2) f(x) >0 for x>0 3) f(0) = 0 4) f is always decreasing on  and

Q: 4) Determine the equation of the tangent line to the function 2 f(x) = x at the point (3, 9).

A:

Q: Consider the double integral •3 cos (a2) dx dy 3y COS

A:

Q: For the following exercises, use shells to find the volumes of the given solids. Note that the rotat...

A:

Q: write the given expression in the form of u^2 - a^2: x^2 - 6x + 5 is equal to. SUBMIT YOUR SOLUTION ...

A: Here we have to use the completing square method

Q: Find the projection of b = 5i – k onto à = i+ 2j+ 3k. %3D

A: We have to find the projection of →b on →a

Q: Are the rational numbers closed under addition? Choose the correct answer below. Yes O No

A: Given question :-  Are the rational numbers closed under addition ?  

Q: The function e* (x² – 1) is equivalent to the series: Select the correct response: 19 - x³ + -x' + 1...

A:

Q: 2. Find the absolute maximum and minimum values of f(x, y) = 4x+6y-(r²+y?) on the rectangular region...

A:

Q: (5 + 4) + 6 = 5+ (4 + 6) illustrates the property of addition.

A: This question is related to algebra.

Q: Show that In x lim x→1 x – 1 1.

A: To prove: limx→1 ln xx-1 =1 limx→1 ln xx-1 =00 form L'Hospital's Rule tells us that if we have an in...

Q: Bottled Water Sales The following chart shows annual per capita sales of bottled water in the United...

A:

Q: Find the partial fraction decomposition of the function. Write answer in simplest form. x² +x+1 a) f...

A:

Q: 1. function f(r, y) = 4(x² + y²)e *. Find the local maximum and minimum values and saddle point(s) o...

A:

Q: %3D cosx cotx sin x CSCX

A:

Q: An investment firm expects the price of the Campbell’s Soup Company stock to increase via P(t)  =  P...

A:

Q: Find the equations of the line through (2,0, –4) and parallel to each of the planes x + y – z = 0 an...

A:

Q: Find f(x) = x2+2 when f1(3)

A: Given that: f(x)=x2+2

Q: 1. Prove that lim (10z – 7) = 3 using epsilon-delta definition of a limit.

A:

Q: the given expression :3y^2 + 6y + 7 is equal to. SUBMIT YOUR SOLUTION * none of the choices O 3(y + ...

A:

Q: f (x, y) = –3x²y + y³ satisfies Laplace's equation fex + fyy = 0

A:

Q: Prove that the line x +1 = 글(-6) - lies in the plane 3x + y – 2 = 3.

A:

Q: Find the limit: limt t→0⟨(e^5t)−1/t,t^11/(t^12−t^11),−7/8+t⟩ ⟨  ,  ,  ⟩

A:

Q: Write an equation of the tangent line to the curve f (x) = 10//7 + 6x at the point (4, ƒ (4)). Uploa...

A:

Q: Set up and evaluate the integral that gives the volume of the solid generated by revolving the plane...

A:

Q: 6x 4) Find the average value of the function y on the interval from x = 1 to x = 5. x2+1 Hint-- the ...

A:

Q: On the graph of f(x) answers that apply. = tan x and the interval -27, 0), for what value of x does ...

A:

Q: "Jung Kook PROBLEM SOLVING" Jung Kook stayed at McDonald's and ordered a cup of hot coffee. When the...

A:

Q: nd [(dy)/(dx)] if the curve is defined by 7 x? e7y + 6 y² e² x

A: We are asked to find the derivative 

Q: Use the information to answer the question. A student was given x - 1 when x <2 f(x) = 3x when x22 T...

A: Given that: f(x)=x2-1 when x&lt;23x       when x≥2

Q: he general antiderivative of a function is also called the. A integrand B arbitrary constant differe...

A: The general antiderivative of the function

Q: 2メー7 f xス」

A:

Q: 4 x2-4 xp

A:

Q: dx Evaluate – 12x - 12x dx 12x - 12x

A:

Q: The cost of certain piece of machinery is $ 700 and its value is depreciating with time according to...

A:

Q: 22 – 11z + 28 Find the limit, if it exists: (Do not use L'Hospital's rule) lim 7 2 – 26x + 133 Note:...

A:

Q: Consider the function f(x) = -6x2 + 4x – 6. (a) Find all critical numbers c of f. c= (b) The local m...

A: topic - application of derivatives

Q: f(x) = 3 x6 e-4 x* with respect to x. f '(x) = 18x^5 e Submit Answer Incorrect. Tries 1/8 Previous T...

A:

Q: The average change of a function f over an interval [¤1, x2] is f(x2)-f(x1) First find the average r...

A: We can find the instantaneous rate of change as below

Q: (In(x))? 3

A: We have to apply rules of integration to solve the problem

Q: Find an equation of the tangent line to the curve y² = x³(3 – x) (a piriform) at the point (2,2/2). ...

A:

Q: What is the magnitude and direction of the resultant? 10 4. 10 diagram 4

A: Given that:                        

Q: Find the volume of the solid obtained by rotating the region bounded by y = x – x^2 and y=0 about th...

A: Given query is to find the volume of the solid generated. First we will find the intersection points...

Q: -sin20 + C , then f (0) =-cos20. 2 A True B) False

A: Solution: f(θ)=12cos2θ

Q: (x1+e*)dx e* -In(4) 3.

A: Given that: ∫(x-1+ex)dxex-ln1xdx

Q: 17. Find the volume of the solid generated by revolving about the x-axis the region bounded by the u...

A:

Q: n! %3D an 2n

A: We have to check weather the given sequence is increasing, decreasing and neither in nature.

Q: - / 4(1-)esc2(1– y)dy

A:

Q: if 2 and gcx) -X and h =1-2X %3D Find, fog fog, gof, gog, gofoh, fof > fof .

A:

Q: QUESTION 3 Find dy/dx if sin(2x) + e = 2xy+ In(2y) by using implicit differentiation.

A: Use implicit differentiation

Q: Find the limit, if it exists: (Do not use L'Hospital's rule) 94x2 + 19x + 5 lim x→00 182x25 + 3x – 9...

A: