24-25. What is the area in the first quadrant bounded by the curve y = x², the line y-x - 2 = 0, and the y-axis? 10 A) B) C) D) N/W 2|NW|NW|5

Q: For the following polynomial function, find (A) the degree of the polynomial, (B) all x-intercepts,…

A:

Q: 23 34 3- prove that w = ww if w = xy? + x³y³ + x'y³ W= ху ах' ду

A:

Q: # dx -3 (sint) dt

A: We want to find derivative of the integral

Q: Q2. Let u = (2,-1,1) and v = (3,1,0). Find the following: 1) |2u - v| 2) u ov 3) The angle between u…

A: Given

Q: Question 5 Use Pascal's triangle to expand your binomial expression. A (1 + x)³ (1-x)³ (1 + x)4…

A:

Q: Ex: Estimate the value of №.1.5 by..binamia.. sevies. Sol 4.5 = (1+015.) ². X=0.³.5 m = 0.15... 3 •:…

A:

Q: Find the value of k so that the given differential equation is exact. (7xy³ + cos(y)) dx + (2kx²y² -…

A: Given

Q: Find the first four nonzero terms of the Maclaurin expansion of the given function by using the…

A: Given problem:- Find the first four nonzero terms of the Maclaurin expansion of the given function…

Q: Sx²√5-x² dx

A: Given ∫ x35-x2dx

Q: If f(x)=(x2+5x+8)4f(x)=(x2+5x+8)4, then f'(x)f′(x) =    f'(1)f′(1) =

A: The objective of the question is determine the derivative of the given function at x=1

Q: Solve the following ff12 [2yx² + 2 sin(2x) + cos(πy)] dA, if R = [−2,1] × [0,1]

A:

Q: Solve the given differential equations: dy x3 1. dx 2+y²

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Use continuity to evaluate the limit. lim x→5 x   29 − x2

A: We have to determine  limit use continuity

Q: 3. Consider the following differential equation dy 1 y(0)=2, h=0.2 dx x + y Determine the solution…

A: SOLUTION-

Q: Given that  lim x→2 f(x) = 4    lim x→2 g(x) = −2    lim x→2 h(x) = 0, find each limit, if it…

A:

Q: 1. Given that a right triangle has sin 0 = 0.5. Find another two sides of length if hypotenuse…

A:

Q: 3.lim √x + 3x + 6 x-2 -2.1 X f(x) -2.01 -2.001 -2 ? -1.999 -1.99 -1.9

A: Limits

Q: This doesn't explain why -1 is the right answer over the other options

A: Solution

Q: find -1 2 5+1 s(5+1)²

A:

Q: Sketch the graph of a function f that is continuous except for the stated values(s). Discontinuous,…

A: The function is discontinuous at x=3 and right continuous at x=3

Q: The cost of producing xx units of stuffed alligator toys is…

A: This is a problem related to derivative of the function. Based on the general formula and concept we…

Q: Q3: Fill in the blanks in the following: A. If u= (1,6,-8) and v=(4,-2, -1) the xu B. The inverse…

A: "According to the guidelines issued by the company we are supposed to answer only first three…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim h → 0  (h − 4)2 − 16…

A: Expand (h-4)2

Q: 1. Evaluate √2 √4x² dx using a trigonometric substitution.

A:

Q: 8) Consider the solid Q that is generated in the first octant by the surfaces S₁: (x - 2)² + (y-2)²…

A:

Q: Find curl F if F(x,y,z) = 16y5₂5i - 8x³₂8 j- 7xy4k. O curl F = (-28xy3 +64x³₂7)i + (7y4 + 80y5z4)j +…

A:

Q: y = x2 y = -2x4 -24

A:

Q: Show that fis continuous on (-∞, 00). if x ≤1 f(x)=√(1-x² In(x) if x > 1 On the interval (-∞o, 1),…

A:

Q: give the integral of volume of a solid of revolution when the region bounded by y=x2, y=-2x-1, y=0…

A: This is a problem related to volume generated by solid revolution. Based on the general formula and…

Q: Show the derivation of the following Maxwell relations with complete solutions (F)-(23) Әр as as…

A:

Q: L Matching Type. Match the functions in Column A with their corresponding derivatives in Column B.…

A:

Q: of the 3. Find the de AND FINAL ANSWER 1. f(x) = (4x² +8x + 2)² 2. f(x)=(2x +6) f(x)=(3x²+2x+1)³ 3.…

A: Topic = Derivative

Q: 3 Q19- if z =- 4x³y sin sin (x³y) əz find əx

A: We want to find partial derivative of the given function.

Q: slope the line that passes through the given points. point-slope form of the equation of the line.…

A: We will solve the problem.

Q: A) √2 [² /4t² + 1dt

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A:

Q: Evaluate the iterated integral. In6 In2 Lotus Lothe ex exty dydx = i In6 In2 th etty dydx

A:

Q: I need the third derivative for all of the following functions: *(x) = 1 + x² € (x) ==—=—==-x 1-X…

A:

Q: i. Using Desmos graphing software or Desmos graphing mobile, create the graph of the following limit…

A: Given problem:-

Q: Determine the moment of inertia about y-axis

A: This is a problem related moment of inertia of composite sections. Based on general formula and…

Q: Answer: -x sin(x²) # COS X Find the particular solution, y = f(x), dy to the differential equation…

A:

Q: Solve the initial value problem. 1. y"+4y=sin 2x, where y(0)=3 and y'(0)=¾

A:

Q: (x+h)³-x³ h C. lim- h-0

A:

Q: Differentiate the function. Hint: although you can use the quotient rule, you don't need to use it…

A:

Q: A. Find the general solution of the following Initial Value Problem (IVP): y-2y-3y=5 cos (2t) 5²+1 1

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: Differentiate f(t) = 5-7t+8

A:

Q: a. lim (3x - 5) x->-1 b.lim x² -9 xxxx²²-4x+3 2 x²-9 c.lim XX x² - 4x +3 2

A:

Q: Verify that the indicated function y = p(x) is an explicit solution of the given first-order…

A: This question can be solved using the concept of derivatives.

Q: A. Solve the following Initial Value Problem (IVP): y + 3y + 2y = 6e- at y(0)=1 and y (0)=2

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: Evaluate the integral. f₁²x²e²dx хе 1

A: The given integral is ∫12x2ex dx. We first  solve the integral ∫x2ex dx using integration by parts…