1 - x dx. e + x Evaluate:

Q: 12r+ 30 -dx- x²+2x-8 Let In M = %3D What is the value of M? O (x+4)3 +C (x-2)9 O (x-4)²(x+2)° O…

A: Given lnM=∫12x+30x2+2x-8dx

Q: The dimension of the vector space P3 is equal to: Select one: O 5 none of the others O 2 4 O 3 ):…

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Q: The implicit derivative formula on a surface F (x, y, :) = 0 is: *--() F Evaluate d:/Əx on the…

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Q: S 3tan 3a r sec? 3a? dx

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Q: Solve a3 -4x2 +4x lima→234 –12.a³ +12a²

A: We have to solve the given limit.  We can use Factorisation method.

Q: Find i by such that the vertical line -t divides the area enclosed y=Vx: y=0 and x=5 into equal…

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Q: Let R=[0,1]x[0,1]. хуз dA= 41x2+1 R

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Q: Show that the function f defined by (x, y) = (1, –1) f(r, y) = { x2 + y (x, y) # (1,–1) r + y is not…

A: To show that the function f defined by fx, y=1, x, y=1, -1x2+yx+y, x, y≠1, -1is not continuous at 1,…

Q: Vr2 – 2x – 3x (x² 4. lim 4x + 5 (72 25) ten2(r1 2)

A: first we will take x common from numerator and denominator, then take limit.

Q: loof yadT h 5: A party planner is trying to hang a sign between a house and a palm tree for…

A:

Q: 4. x(x² – 1)² dx

A: Solution:

Q: vector v is multiplied by the scalar -, the resulting vectór 4' smaller than v and in the same…

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Q: Find the volume of the parallelopiped with adjacent edges PQ, PR, PS where P(3,-2, 2), Q(5, 1, 5),…

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Q: Determine the volume of the solid that will be generated by revolving the area bounded by the given…

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Q: 20. (g + h)(4)

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Q: If A = {2,4} and B = {1,4, 5}. Define a binary relation R1 and R2 from A to B as follows: R1 {(a, b)…

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Q: Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z subject to a? + y +…

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Q: a ER メ 2 12

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Q: Evaluate the line integral. The simple curve is C is y = x² starting at (0, 0) and ending at (1, 1).…

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Q: Evaluate: L-1 [2s-9) ls²+2)

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Q: Given f(x) =x²- 1, find the value f(x+h) - f(x). 2x + h - 2 2х + h

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Q: Find the volume of the solid above the region D={(x,y) : 0s Xs V27, 0s ys 27-x2) and between the…

A: Let's find.

Q: Seln (9a2 -6x+4) xda 9.

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Q: Given an acceleration vector, initial velocity (uo,vo), and initial position (Xo.yo), find the…

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Q: 17) f(x) = 0.2x +0.3x2 - 0.5x +10; interval [-4, -1]; 3 subintervals C) 30.0 %3D A)60 B) 34.0

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Q: Determine if the geometric series converges or diverges. If it converges, find its sum. 1 + (-9) +…

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Q: The area of the base of a rectangular prism is equal to the area of the base of a cylinder with an…

A: The area of the base of a rectangular prism is equal to the area of the base of a cylinder with an…

Q: ind the point/s of intersection of each of the following figures given below, draw the element and…

A: Area

Q: V312-x2 31 dydx = %3D 1+x2+y2 Jo int062) ○ 푸n(31) 2 O In(962) O TIn(962) O 2nln(31)

A: Given: I=∫031∫0312-x221+x2+y2dxydx   Now convert to polar coordinate to solve the given integral. As…

Q: Let f: R->R be a continuous function that is convex on (-∞), 0] and [0, ∞)) and has a local maximum…

A: We have to show that function f is not differentiable at the point 0.

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

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Q: Evaluate ds, where C is the path defined by c(t) = (t², 9t, 4t³3/2) where 0 <t < 2.

A: Given integral c z^2/x ds, C(t) =(t^2, 9t, 4t^3/2)  where 0&lt;= t&lt;=2

Q: Suppose 16 blackberry plants started growing in a yard. Absent constraint, the blackberry plants…

A: Here we have to use the logistic growth model. I have appended the formula used in the solution part…

Q: (3) Is f(x) = 2x a solution to the differential equation f(x)–xf'(x) = 0? Explain briefly. %3D

A: The differential equation is f(x)-x·f'(x)=0

Q: OT# C18: "Evaluate definite integrals using Part 2 of the Fundamental Theorem of Calculus combined…

A: First of all, let's simplify: x5+11+x2

Q: Identify the number of petals of the graph r = 9cos20. a. One petal b. Two petals C. Three petals d.…

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Q: Consider the function f (z) = es: Show that if f (z)is purely imaginary, then 2n +1 T, n = 0,±1,±2,…

A: Complex function

Q: Suppose 200 trout are seeded into a lake. Absent constraint, their population will grow by 70% a…

A: Given problem:- Suppose 200 trout are seeded into a lake. Absent constraint, their population will…

Q: y2+8y+5 (y-1)(y+1)(y²+8)² Integration by Partial Fractions

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Q: Find the average value of the function f(x)= e²x on the interval [0,4]. O a. 372.5 O b. 1490 O c.…

A: Topic = Application of integration

Q: 6. f(t)=-e* sin ( 21 + 7)

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

Q: Find all solutions to the equation. 2 sinx- cosx=1 Write your answer in radians in terms of t, and…

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Q: (a) Find an equation for the total surface area of the material to be used to make the tent (b) If…

A: It is given that, A rectangular tent is made to have a square base with two partitions inside that…

Q: L|3x – 6| dx = 30

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Q: dx coSX dy= 3 Cosx dx ( 3x+2)

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Q: Question No.5 Discuss the concept, advantages and disadvantages of Gaussian Quadrature in numerical…

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Q: 32

A: We need to use the knowledge of binomial theorem to solve this problem.

Q: I. Show that the function f defined by 1, (x, y) = (1, –1) f(x, y) = { x2 + y (x, y) # (1, –1) x + y…

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Q: C. Determine whether each of the following is true. 1. 7 ≡ 12 mod 5 2. 3 ≡ 24 mod 7 3. 33 ≡ 15 mod…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Use 4t order Runge-Kutta Method to solve dy = y' = x+y, y (0) = 1 & Y(2) = ? Use h = 0.5

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