The graph of a function f is shown below. 6 -1 -2 1 Suppose the function g is defined as g(x) Fill in the following blanks. (Note: if g(x) increases without bound for some variation in a f(x) we'll say the corresponding limit "has a value of ∞".) a. lim g(x) = 30 Preview 2-3 b. lim g(x) = Preview -3 Preview c. lim g(x) = 876 d. lim g(x) = e. Use the graph of f(x) to write an equation for g(x). -2 -1 4 3 2 1 Y Preview

Q: Find the area (in square units) of the region under the graph of the function f on the interval [3,…

A: Area under the curve over the given interval:3, 6Area: ∫abf(x) dxA =∫36 (8ex-x) dx   =8ex -x2236…

Q: 8) Find the unit tangent and unit normal vectors T(t) and N(t) for r(t) = (t, t², t²).

A:

Q: 2 Evaluate thefallowing cartesian integrats by - changing theminteequivalent Palar integralse 4- to…

A: Solving

Q: 0 3. Evaluate the definite integrals: (a) CS Scanned with CamScanner² (x² – 3x) dx (b) 5 1 √I -d.x

A:

Q: A company determines that its demand function is given by p(q) = -0.4q+ 1754 and that its cost…

A: p(q)=-0.4q+1754C(q)=62.97q+3515R(q)=1128000R(q)= q. p(q)R(q)=q (-0.4q+1754 )R(q)=-0.4q2+1754q

Q: 5x-10 Find the area under the curve of f(x)=- 05 O-10In 2 O 5-10lm 2 0-5 from 1 to 2.

A: Solve the given

Q: ZzJm 3. Use integral test to determine whether the series 4. Use an appropriate test to determine…

A: 3. ∑n=1∞e-n2n4. ∑n=1∞n2n+1!n! 22n

Q: 4. A|-2,5 А = 2, B = 3 and the angle formed by A and B is 120°. Determine the unit vector in the…

A: Solving

Q: (a) [1.1] (b) [1.1] (c) [-0.1] (d) [-0.1] (e) [2.99] () [-2,99]

A: We have to find the value

Q: A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with…

A: As per bartleby guidelines we only give first three question answers.

Q: 7. Use Lagrange Multiplier to find the maximum and minimum values of the function f(x, y) = x²y…

A:

Q: 5. Evaluate sin y - dy dx y

A:

Q: Match each of the following parametric Equations with a plane curve : x(t) = 3 + 6sinh(t). y(t) = 2…

A: We are authorized to answer three subparts at a time, so we are answering the first three subparts,…

Q: Problem 2. Do both parts. 12 4 8 Part (a) Find the sum: + ·+· 3 9 27 81 Part (b) Solve the equation…

A:

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. a. So f(x) dx…

A: Let's find.

Q: 12x + 625 The average cost for a company to produce x units of a product is given by the function…

A:

Q: The radius of the base of a right circular cone is decreasing at the rate of 4 cm/min, and the…

A:

Q: Determine the behavior of the functions defined below. Note that it is common to write "g(z) → oo"…

A: The given function is;  g(x)=-10x3+5x2+5. Repost the next parts.

Q: The point P(2, 2) lies on the curve y = 4. If Q is the point (x, 4), find the slope of the secant…

A: answer is in next step

Q: Region bounded by: y=1/2x, x=2, x=4. y=0 Rotate about x-axis. Find the area

A:

Q: Create Representations to Communicate Math find the total surface area of each prism. 1. 2. 6 f 29…

A:

Q: 9. A and B are unit vectors with an angle of 120° between them. Determine 3A +2B and it's direction.

A: We have to find the vector addition.   A→+B→=A→2+B→2+2A→B→cosθ

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

A:

Q: =H.w.2 Evaluate the following cartesian integrals by - changing them into equivalent Polar integrals…

A:

Q: What is the rate of change of distance between the top of the ladder and the ground?

A:

Q: 1. JC y = f(x) is transformed to g(x) = 3 f (2x – 6) + 9. The domain and the range of each function…

A: Solving

Q: Find the four second-order partial derivatives for f(x, y) = 8x5y³ +5x6y7.

A:

Q: A 10-ft ladder is leaning against a house on flat ground. The house is to the left of the ladder.…

A:

Q: A triangle has sides represented by the vectors (2, 1) and (3, 4). Determine the length of the third…

A:

Q: Use the formula к(t): k(t) ||r' (t) x r"(t)|| 3 ||r' (t)||³ r(t) = esti + e¯tj = to find (t). #1

A:

Q: d Calculate ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt dt the product directly…

A:

Q: where t € [0, 1]. x = cost, y = sint-t,

A: Here we will find the equation of tangent and length of curve P,

Q: x²+x dx (x²+1)(x+2)

A:

Q: #6

A: Topic:- application of integration

Q: To find the distance across a small lake, a surveyor has taken the measurements shown in the figure…

A: As per given question  We have to solve above question and find distance across the lake

Q: f(x, y) = 'r cos(y) + y(e² − 1), x‡0 xy 0 x = 0.

A:

Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

A:

Q: 6. [ID # ending in 9] J3 w Find дх ду дz if w — exyz = 0.

A:

Q: construction company will be panalized each day of delay in construction for bridge. The penalty…

A: Given the query is to find the maximum possivle days for delaying.

Q: Find an equation of the line tangent to the curve r = sin 30 at the point where 0 = klo

A: Polar curve

Q: B. Convert the following to degree or radian. 1.330° 2.-485° 4 п 3.- - 4.- 7 -бл 5

A: Solved below

Q: Problem 4. Part (a) Part (b) 5 ln(3-x) = 4 Do both parts. Write the sum using sigma notation:…

A:

Q: roblem 5. A cup of coffee has temperature of 200 degrees Fahrenheit and is placed in a room that has…

A: Topic:- Newton law of cooling

Q: n 2 (4k – 2) = k=1

A: Recall:  1+2+3+...+n=n(n+1)2

Q: Calculate the line integral of F(x, y) = -4i + 5j along the line segment from (-3,-4) to (-5,0).…

A:

Q: Find the area of the region enclosed by the inner loop of the curve. r = 2 + 4 sin ?

A:

Q: Numerical solution of Ordinary differential equations Consider the following initial value problem…

A: This is a problem of numerical method . Based on modified Euler method we will answer the question.

Q: A farmer wants to construct a fence around an area of 6936 square feet in a rectangular field and…

A:

Q: 1) Calculate the following integrals 1_dx a) S 4x²+25

A: Given; I=∫14x2+25dx    .....(1)   As we know that; ∫1x2+1dx=tan-1x+C

Q: 3. Write equation of the tangent line to the graph of the function f(x) = ecosx at one of the values…

A: