Alan comared the SoPe ofE the funstion Y= 3x+2 +o the Sloe of the lineor function that Pits the values in this table. -3 1- 2. 2 3. which Choice is true about the Slopes of the two functions

Q: 3) approximate the slope of the graph of f (z) = r at the point (1, 1). y 4 3 (1, 1) 2. 4 3 2.

A: The slope of a graph tells that by how much the value of y changes when the value of x changes by 1…

Q: A profit is earned when revenue exceeds cost. Let the profit function for a skateboard manufacturer…

A: Marginal profit

Q: Simple calculus problem, I will do thumbs up for answer :) Thank you!

A:

Q: Find the length of the curve of the graph of the indicated function. y = (x + 3)3/2, between points…

A:

Q: Suppose that f is a linear function with slope 4 and that f(4) = 5. Find the equation for f. %3D…

A: Given query is to find the

Q: 8. Two hot air balloons are traveling along the same path away from a town, beginning from different…

A:

Q: llowing function of x²y² =

A: Slope: x2y2=3y+1We need to find dydxThen we should put dydx=0At which points on the curve dydx=0…

Q: Let f(x) = xe ⁹x. a. Find the values of x for which the slope of the curve y = f(x) is 0. b. Explain…

A: To find out the values of x for which the slope of curve is 0.

Q: Find the slope of the function at given point. f (t) = 2 - 4/t (4,1)

A:

Q: Q6. Find ranges of values of x for which the curve y = x* +8x - 126.x² – 11x +187 is concave upward…

A:

Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

A:

Q: For the function y = ax3 +bx2 +cx , there is a point of inflection at (1,-3) and the slope of the…

A: We find the second derivative using the power rule Given that, at x=1 there is a point of…

Q: he student should identify all the relative extrema and saddle points of the given function. 3 h(a,…

A:

Q: c) In which unit direction does the graph of z=f(x, y) have its steepest decline at the point (2,3),…

A:

Q: Sketch the level curves of the function f(x, y) = y + x? for c = 3. 7- 5- 4- -6 -5 -4 -3 3 4 5 6 -2…

A: Solution ) f(x,y) = y + x2  f(x , y ) = c  y + x2  = c  y + x2 = 3  y = -x2 + 3 To find the vertex…

Q: 3) What is the range of the function y = -/x + 5? A) {y]y2 -5} B) {y]y> 0} C) {y]ys -5} D) {y]ys 0}

A:

Q: 6. If a cars position on a straight road is given by p(t) = t3 – 6t2+ 8t %3D find the inflection…

A:

Q: observe as you compare the difference quotient to the slope of the linear function? 7. Given f(x) =…

A:

Q: If a cars position on a straight road is given by p(t)=t^3-6t^2+8t find the inflection point for the…

A: Given query is to find inflection points.

Q: Suppose that f is a linear function such that f(7) = 1. If the slope of fis 3.3, then what is f(14)?…

A: Let the Linear function of the form f(x)=mx + c

Q: If the slope of the curve y =f-(x) at (4,9) is . 2 find f'(9). f'(9) = 3 (Simplify your answer.)

A:

Q: Suppose g is a linear function such that g(3.6) = 5.1. If the slope of g is -2.1, what is g(6.7)?…

A: Given g(3.6) = 5.1 Slope = -2.1 Let y = g(x)

Q: Question The inflection point of the curve f(x) =2x – 3x –12x is: | -1 13 -13 2

A:

Q: Find the value of slopes of the curves at a given points:   x³+y-4 = 0 at P (2,-4)

A: The derivative of the function is equal to the slope, so we need to find dydx by isolating y on one…

Q: 18. What is the distance in units between the y-intercept of f(x) = x² + 8x - 10 and the y-intercept…

A:

Q: Given S= -10T^2+4. Is S a function of T? Explain your choice using the definition of a function.

A: Given,    S= 10T² + 4   Yes, here S is function of T.  Thus, S = f(T) = 10T² + 4

Q: Suppose that f is a linear function such that f(4) = 7. If the slope of f is 2.9, then what is f(5)?…

A: We have to find out function value

Q: 20. Find the slope for f(x) = |x – 2| + 3 from -x' + 5x - 3 X=-3 to x-2? A. -5/5 B. 5/8 C. -8/5 D.…

A: Given that f(x)=x-2+3 and,-x2+5x-3. The formula for slope is, m=f(x1)-f(x2)x1-x2

Q: Suppose that f is a linear function with slope -3.6 and that f(2) = 4. What value of x gives f(x) =…

A:

Q: y y 12 12 10 8 6 4 2 21 X 2 4. 8 10 12 4 (d) Show that the slopes of the graphs of f and f are…

A:

Q: In a small business, the function ?(S) = 0.6S^2 + (1 + 71)* S – 2540 shows the relation between the…

A: Given function is  RS=0.6S2+72S-2540              (i) Differentiating R w.r.t S dRdS=1.2S+72 Now,…

Q: Suppose f is a linear function such that f(5) = 2. If the slope of f is 3.3, then what is f(16)?…

A: The equation for point-slope form of a line is y=mx+c, where m is the slope and c is the…

Q: Suppose that fis a linear function such that f(2) = 4 and f(5) = 16. What is the slope m of ? m D

A:

Q: 1. For a given function f(x) = -2x + 6 a)slope is: b)x-intercept is: 0) C)y-intercept is: (0,

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Let X, represent the Total Worldwide Revenues (Smillions) and let X2 represent the FT Voluntary…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Suppose f is a linear function such that f(3)=5. If the slope of f is 2.5, then what is f(5)? (Round…

A: Slope=y2-y1x2-x1

Q: Let f(2) = (2² – 2x + 3)° and 9(æ) = f¯1 (x) . What is the slope of the curve g(x) = ƒ' (x) at the…

A: fx=x2-2x+32 and gx=f-1x.

Q: 20. Find the slope for f(x) |x - 21 + 3 from -x + 5x - 3 X=-3 to x=2? A. -5/5 B. 5/8 C. -8/5 D. 5/5…

A:

Q: Suppose that f is a linear function with slope -3.4 and that f(3) = 8. What value of x gives f(x) =…

A:

Q: What is the slope of the tanget line of the function below at the given point f(x) = (6x + 7)° x =…

A:

Q: Q4 (a) Find the extreme values of the given function y =x* – 3.x² +3x -2 (b) Find the point of…

A: Given, y=x3-3x2+3x-2to find extreme values off the function.we do derivation test,…

Q: What is the range of the function y = 8cos(x-30°) –2? (A) {y]y e R} (B) {yl-2 sys 8,y e R} (C)…

A:

Q: For what values of the numbers a and b does the function below have maximum value f(1) = 6? (Round…

A: To find: The value of a and b. Given: The function is fx=axebx2 and the maximum value of the…

Q: The manager of a restaurant found that the cost to produce 100 cups of coffee is $10.55, while the…

A:

Q: Where does the relative maximum value off occur when f'(x) = x³ - x? (а). - 1 (b). 0 (с). 1 (d). 2 a…

A: Relative maximum

Q: Answer the following questions. (a) Which functions have graphs with slopes less than 3? (Check all…

A:

Q: Suppose that f is a linear function with slope -3.6 and that f(3) = 6. What value of x gives f(x) =…

A:

Q: Suppose that f is a linear function with slope -3.2 and that f(2) = 8. What value of x gives f(x) =…

A:

Q: Sketch the level curve of the function g(x, y) = x + y? for c 36. 4- -10 -9 -8 -7 -6 -5 -4 -3 -2 -…

A: Level curve

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.