10) Calculate a lower sum for f(x) = 2x + 5 over the interval [0, 2] using 4 rectangles. %3D

Q: QUESTION 12 Let S(x) =x2. Find the producer surplus at the equilibrium x=3. %3D O $2 O $ 27 $9 $ 18

A: Given problem:- Let S (x)=x2 Find the producer surplus at the equilibrium xE = 3

Q: 2x and y 2x. Decide whether to integrate with respect to a or y. Sketch the region enclosed by y…

A:

Q: 4. The dimensions of a rectangle are measured to be 8 ± 0.1 by 4 0.2 inches. What is the approximate…

A: Let's find.

Q: dy Q4) Find for the following functions dx 1. y = 2x + e2x-1 2. y = sec x tan x 3. y = t2 + 2t t =…

A:

Q: 1. Find the equation of the tangent line (s) to the following set of parametric equations at the…

A:

Q: Question 7 Find the area enclosed by the curves y=2r², y=2\/x,x=- and x = 1 A 45/51 B 59/76 49/96…

A:

Q: 1. a) Find the linear approximation of f(x) = Vx at x= 27 %3D b) Use it to approximate V26.9

A: To find linear approximation of given function

Q: If function h has an inverse and h(- 5) = - 4, find h( - 4). h(- 4) = O

A: Find h(-4)

Q: 2. A triangle is inscribed in an ellipse whose equation is 9x? + 16y? - 216x- 320y+ 2320 = 0. One…

A:

Q: Let C1 be the curve with parametric equations x = cos t, y = sin t – t, where t E [0, 5). (a) Find…

A: This question can be solved using the concept of equation of tangent and length of curve when the…

Q: Please

A:

Q: All edges of a cube are expanding at a rate of 5 cm/sec. Let the length of the edge be denoted by x.…

A: (a) all the edges of the cube expanding at the rate 5cm/sec Here length of the edge denoted by x and…

Q: The directional derivative of the function f(x, y, z) = x²y° – 2z° at the point (1, 1, 1) in the…

A: We want to find directional derivative in the direction of the vector

Q: Find all the second-order partial derivatives of the following function. w = 3y e x? - 9y

A: Use partial derivative to find the value .

Q: What is the volume of the solid formed by revolving the region bounded by 10y = a? and 10æ = y?…

A:

Q: Which of the following is not used to determine the slope of a function algebraically? slope of…

A:

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A:

Q: 5. a) Find the equation of any tangent(s) to the graph of f (x) = -x² + 6x + 5 that also go through…

A: Given

Q: * 4.5" – 5. 4" b) Σ 6" n=1

A: Thereare multiple question, as per company policy kindly ask other question separately .

Q: у" - (а + В)у' + авy %3D 0

A: Given

Q: Calculate y" and y". 4x – 7 y(x) (Use symbolic notation and fractions where needed.) y"(x) = y" (x)…

A:

Q: Suppose that z = x/y, where x and y are differentiable functions of u and v such that x = dx/dv 3, у…

A:

Q: 1. Find an equation for a parabola with focus (– 10, 7) and directrix x = - 6.

A: A detailed solution is given below

Q: Given, f (x) = for æ + 3; f-1 (æ) x +2 x – 3 | Of-1 (x) x-1 3x+2 Of1 (x) = * Зх +2 x-1 x- 2 f-l (x)…

A: We have to find f^-1(x)

Q: Sketch the region enclosed by y RV-eand r-1. Find the area of the region.

A: Region is bounded by the given curve y=e2x , y=e7x  and  x=1

Q: k 7) Determine the interval and radius of convergence for E k! x"

A: Given

Q: Find the curl of the vector field F. F = (x-y+z)i+ (6x-y+7z)j+ (9x +6y + z)k curl F = i+

A: We have to find the curl F

Q: Is the following statement true or false? If f(x) > 0 and g(x) > 0 and f (x) > g(x) on [a, b], then…

A:

Q: Find out whether the series given below converges or diverges. 00 Σ 3n +4 n= 1 Choose the correct…

A:

Q: Find the marginal profit function if cost and revenue are given by C(x) = 184 +0.3x and R(x) =…

A: This is a problem of differentiation . Based on the formula and concept we will answer the question.

Q: Find the surface area when the curve C = {(x,y): 0 < x < 2, y² = 2 x} | about the x-axis.

A:

Q: 4 Find the inverse Laplace transform of s? + 8s

A: As we know from the property of the Laplace transform; L-1a·fs+b·gs=a·L-1fs+b·L-1gs And…

Q: Determine whether Hhe Series convergence or diverges. Stare which test cf con vergence ( divergence…

A:

Q: Use an appropriate definition to prove the following limits. x³ – 16x* = 1 I+0 r°+ 4x² x +2 V9x2 + 4…

A: This is a problem of limit . Based on the formula and concept we will answer the question.

Q: Set up the definite integral required to find the area of the region between the graph of y 15- and…

A: Area between the two curves f(x) and g(x) over the integral [a,b] is given by A=∫abfx-gxdx

Q: The graphs of ƒ(x) = x² + 5 and g(x) = -x² + 2 share two common tangent lines. Find the equations of…

A: Here we will find the equation of common tangent,

Q: What is the largest value of x for which the series (x - 8)" n 4 is absolutely convergent? Answer:

A: FOLLOW NEXT STEP

Q: Calculate the following derivative if h(w) = Vwe3w. (Use symbolic notation and fractions where…

A:

Q: The tangent plane and the normal line of the surface y = x² + z – 6 at the point (2, -1, 1) have the…

A:

Q: What is the largest value of x for which the series (x – 11)" - n°5" n=1 is absolutely convergent?

A: This is a problem of series and sum calculation. Based on the formula and concept we will answer the…

Q: Write out the first four terms of the series to show how the series starts. Then find the sum of the…

A:

Q: Find the area of the region outside r = 5 + 5 sin 0 , but inside r = 15 sin 0.

A:

Q: VA? +3 +3dx

A:

Q: Find the curvature of the curve defined by F(t) = e"i + 4tj K = Evaluate the curvature at the point…

A:

Q: 4. Find the point on the graph of f(x) 5x2 + 20x – 3 where the tan gent line is horizontal. (a)…

A: We have to solve integration

Q: a) Solve dx y +x

A: Given: dydx=y-xy+x

Q: Find the centroid of the given region. ... y = 2-x y = x A (3/22,45/61) B) (5,15) (8/23,76/111)…

A:

Q: B) Find for the Implicit function: dx x² - sin(xy) + y² = 5xy

A:

Q: Find the area of the shaded region Blank 1 Note: Enter exact answer x = y 20 1000 y? 20

A: x=yx=1000y2Solve both the equationsy=1000y2y3=1000y=10The limits of y are from 10 to 20.

Q: 4. Find the point on the graph of f(x) 5x + 20x – 3 where the tan gent line is horizontal. 5

A: