y 1.25 1.00 + y 5 c(t) 0.75 + 0.50 + 0.25 + 15 30 45 60 Time (min) (b) Cost (dollars)

Q: a Show that y = mx + b intersects y = |x + 1| if m > 1 or m < -1. b Given that -1 < m < 1, find the…

A: Given,y = mx + cFor m &gt; 1Take  m = 2 &gt; 1,

Q: |-*^= 39. What is the length of the curve y = √x- between x = 0 and x = 2?

A:

Q: 642 1. Consider the graph of y = f(x) below. State the value of each of the followin u do not need…

A:

Q: ample: Graph fhe funeSiin j=x² ,cund find Df P Re

A: Here we want to draw the graph of y=x². Also we have to find the domain and range of the function.

Q: In  the givne equation as follows ,determine the open t-intervals on which the curve is concave…

A:

Q: Q.No.1. (a) Let h(u, v) = In(n – u² + v) + VVv-u , Where n=540. Find its domain and sketch the…

A: Given - Let hu, v = lnn - u2 + v + v - u where n = 540. To find - Find its domain and sketch the…

Q: Construct a graph of y = s(t) on the time interval 0 <t < 3. Label at least six distinct points on…

A:

Q: slane using GraphiI Hethod Max Z=3X+2k2 2X + Xe loo X+X+ 80 Onpt-

A: first we will draw the feasible region bounded by the constraints. then comparing the value of…

Q: In Exercises, use Table VII to nd the required χ2-values. Illustrate your work graphically. For a…

A:

Q: The graph of y = Vx is the solid black graph below. Which function represents the dotted graph? 10 8…

A:

Q: Assume that g(x) = --x+ 1. A constant, k, is added to g(x), resulting in the graph of f(x) = g(xr) +…

A:

Q: Sketch a graph of I = t + 2t, y = t +2, t > –1 . %3D

A: Given equations are x=t2+2t,y=t+2,t≥-1. So list the values of t and obtain the coordinates in…

Q: 10) Use the graph of y = f (x) shown below to describe the concavity in the graph of y = f (x) on…

A: Given information: The graph and the concavity in the interval [0,4]

Q: Suppose that the height s of a ball (in feet) at time t (in seconds) is given by the formula…

A:

Q: 99. In the closed interval from 0 to 27, the graph of y = 2sin? reaches its maximum value at %3D c)…

A: Given,

Q: . Consider the accompanying graphs of y = 2r + 3 and y = In x. Determine the a. minimum vertical…

A: Given, y=2x+3 and y=lnx. And, the graph is shown below: a. Let Ax,y=x1,2x1+3 and Bx,y=x1,lnx1 be…

Q: Determine the interval I for which the following DEQS have a unique solutio whose graph passes…

A: We will solve this by existence theorem of ode

Q: Q1. Find the length of the of the curve y -x2 X2 from x = 0 to x = 3.

A: Given curve is, y=13x32-x12 To find the length of the curve from x = 0 to x = 3

Q: 3) Consider the location of Fatima and Kiran to be at F(-2,6) and K(3,-4) respectively. Both decided…

A: We have to find equation of path n1

Q: Which statement is true about the graph of f(x) = |x| + 43 at the point (0, 43)? ) A. The graph has…

A: D option is the correct option. to make this question easier will look at the graph of this function…

Q: A mail-order computer business has six telephone lines. Let X denote the number of lines in use at a…

A:

Q: What is the minimum y value on the graph of y=cos x + 5? O-6 O-4 4.

A: we want to find the minimum value of y=cosx+5

Q: 8) Wihat is the length of the pot Df the curve y2=(x-1)between the points (4,0) ond (2,4) ?

A: Let f(x) be a smooth function over the interval [a,b]. Then the arc length of the portion of the…

Q: 11. Find the length of the curve y = 2x3/2 x!/2 from x = 1 to x = 4. 2

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

Q: a) Let f(x,y) = ye2x. Find an equation of the level curve that passes through the point (-In 2,2)…

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

Q: y= In x

A: Given function is y=x/ln(x)

Q: (b). Consider a function h(u, v) = 4u² + v². Find the level curves for k = n + 1,n + 2,n + 3, n + 4,…

A: The function f(u,v) is a rule that associates or fixes a number to the particular point (u,v). If…

Q: 16. The y-intercept of the graph of y =asin 0 +d is Oa+d Od O-d Oa-d

A: This question is related to graph and equations, we will use basic graphical principles to solve it.

Q: (1) Find a point P in the first quadrant on the curve f(x) = such that the rectangle with sides on…

A: In the question we have to find the perimeter of the rectangle.

Q: Find the length of the curve. t,0stsV3 The length of the curve x = t°, y= ť on 0sts 3 is (Type an…

A:

Q: 3 Q1. Q1. Find the length of the of the curve y = x2 X2 - from x 0 to x 3.

A:

Q: The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. У…

A: Given,

Q: 4. Sketch the graph and find the relative extrema on the indicated interval: y = 4x1/3 + x1/3 ,-2,2]…

A:

Q: 9 Find the length of the curve x = on 3sys5. %3D 27' 4y The length of the curve x = 9 - on 3sys 5 is…

A: We have to find arc length of give curve.

Q: 2. The graph of y = x² is transformed oy = 0.5x². Determine the coordinates to which the original…

A: Topic:- function

Q: f(z) = 3 cot (4) Which ot the halowing mpresents the graph ot

A: Topic- trigonometry

Q: Q4/ Find the length of the curve y () (x² + 2) from x 0 to x= 3.

A: The length of a curve f(x) on an interval [a,b] is: L=∫ab1+(f'(x))2dx Where f'(x) is the first…

Q: Find the length of the loop of the curve x = 3t -t 3 y = 3t 2

A:

Q: 8- Find the lengthf the Curve are 24xy=x+48 Hem X=2 tox=y Hint The eure Can be written as fettow +2X…

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Q: In the analysis of the algebraic curve, what is the behavior of the graph to Compute for the area of…

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Q: 1.8 t -1 Graph of y = f(t)

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Q.No.1. (a) Let h(u, v) = ln(n – u² + v) + VVv - u , Where n is n= 481. Find its domain and sketch…

A: First we will check domain for ln part:

Q: If a pdf of Y is ƒ(y)={1-|>| ||S1' />1 find and graph F(y).

A: Given, f(y)=0  y&gt;1 From the above expression, Thus, the function is zero (f(y)=0) in the…

Q: The graph of y = x is the image of y = Vx after: O horizontal compression by a factor of 3/2 O…

A:

Q: b) Identify all intercepts. (If än änswer đoes hot exist, (x, y) = ( 0,0 (. x-intercept %3D…

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Q: (c) Suppose s() = -4p(3(x – 1)) – 2. Describe how p(x) is transformed to create s(x). Verify your…

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Q: A. Where is the graph y=f(t) concave up? B. Where is f''(t) less than 0? C. Where is f'(t) greater…

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

Q: A bowl is in the shape of the graph of z = x2 + y2 from z = 0 to z = 10 in. You plan to calibrate…

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Q: The graph of the g(t) is given below on the interval [-3,2]. y = g(t) -3 Area = 12 -1 Area = 2…

A: Understanding of area using definite integral is required to solve these kind of problems.

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.