Let the graph below represent f(x). For which values of x is f(x) increasing? 20 16- 12- -5-3-2 8+ 14+ 199 -12 -16 -20 1 3

Q: Q2// Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: 3 (-4V3,-2V3) :44. V=

A: Vector

Q: (5) Find the volume of the wedge in the first octant that cut from the solid cylinder x² + y? < 4 by…

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Q: x² – 3x – 2 - if r<-1 x – 1 x + 3 f(x) = if - 1<x < 1

A: limx→-1-f(x)=limx→-1-x2-3x-2x-1=(-1)2-3(-1)-2-1-1=1+3-2-2=-22=-1

Q: At which point or line is the graph of r = 2 sin 0 + 2 cos 0 symmetric ? Select one: O the pole O…

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Q: Do not use a calculator for this problem. Find the x-value where the relative maximum of y closest…

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Q: ind an equation for a parabola with focus (- 10, 7) and directr

A: We are asked to find the equation of the parabola.

Q: 9-x2 dx x2 Evaluate:

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Q: Given that the vectors X1 = () e- -2t ,X1 = (C)e-6t are solutions of a system x' = AX, do they form…

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Q: 1. Jx cos 3x dx

A: Question 1 is solved. Solving more than 1 is against the policy.

Q: Integrate the following using partial fraction decomposition: integral sign  [(3x2+4x+56)  /…

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Q: Find two positive numbers that satisfy the given requirements. The sum of the first number squared…

A: Follow the procedure given below.

Q: Solve the following set of equations with LUdecomposition: 3x1 – 2x2 + x3 = -10 2x1 + 6х2 — 4хз — 44…

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Q: -4 -3 Find the eigenvalues of matrix 6. 5 A. 1 & 2 B. -1 & 2 C. 1 & - 2 D. -1 & -2 E. None

A: Let's find.

Q: Find dy/dx: 1. у%3D Jo = San* sec? t dt

A: A detailed solution is given below

Q: 8. Determine if 2n-1 [5 -1 is cont 7n n=1

A: Given

Q: 1. Find the first partial derivative of z with respect to x if x'y+ y°z+ z'x = 11.

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Q: Find the Area bounded by: x = -y2 and x =y-2 %3D

A: This question can be solved using the concept of area bounded by two curves.

Q: Find the area of the region enclosed by one loop of the curve. r = 7 cos4e Select the correct…

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Q: Use the table to evaluate the expression. 1 2 3 4 f(x) g(x) 3 1 6 3 4. (g o f)(2)

A: Here (g∘f)(2)=g(f(2))But f(2)=3(g∘f)(2)=g(3)and g(3)=6Therefore(g∘f)(2)=6

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: Find dy/dx: rsinx 1. у %3D Sm* 3t2 dt

A: I am attaching image so that you understand each and every step.

Q: (4) Evaluate S SR e™y-2dA where R is the region enclosed by y = 4x, y = }, y = ± and y = 1.

A: Let's find.

Q: Consider the polar equation defined by r= 5 cos(2 sin 6), where 0<0< 2x. Determine the missing…

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Q: Given that å = i+ 53 -3k and b = 3ỉ – 23 +k are vectors in 3D. Find the value of ả x b and b xả…

A: Given; a→=i→+5j→-3k→, b→=3i→-2j→+k→

Q: determine which statement is true   x + 2y^2 + 20 = 0 (A) not a function (B) function; domain: R…

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Q: Sketch the graph the integrands and use areas to evaluate the integrals. + dx -2

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Q: Area: 7A square centimeters

A: The length is 7/3 cm and breadth is 3 cm or vice-versa for the perimeter to be minimum

Q: The volume V of a right circular cylinder is given by the formula V= Tr h, where r is the radius and…

A: Given that the volume V of a right circular cylinder is given by the formula V =(pi)r2h, where r is…

Q: Consider the series n+5 Determine whether the series converges, and if it converges, determine its…

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Q: Let й -, й- where A and Bare some constants. Given that ü+ 50 = find the value of the product A.B.…

A: A. B=48

Q: Let C(x) =x +4x+1 dollars be the cost function, where the x represents the quantity. The !3!…

A: 1) Here, to find the 11th item.  Now, the cost of x quantity is given by: C(x)=25x2+4x+1

Q: Use Newton's method to approximate a root of the equation z + c + 3 - 0 as follows. Let I, = -1 be…

A: Let's find.

Q: Identify if the following three forces F, F2and F3 forms a state of equilibrium or not. Their…

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Q: Find two positive numbers satisfying the given requirements. The product is 172 and the sum is a…

A: We find two positive number that product is 172 and sum is minimum.     Here i attached the solution…

Q: An airplane with an airspeed of 80 meters per second is due east, gaining altitude, and has a line…

A: Let us sketch the situation roughly using these following information: N = North, S = South, E =…

Q: Conics Find the equation of a parabola that has focus at (-4,0) and directrix x= 2

A: A detailed solution is given below

Q: QUESTION 1 Find ay/dx?- X = t + sint, y = t- cost

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Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(s) : (t…

A: I am attaching image so that you understand each and every step.

Q: Given that ü = and i = and that üoi = 530 determine the value of the constant A. Yanıt:

A: This question is based on Dot product.

Q: 5. Does the function f(x) = e2x - 2x have any points of inflection? Justify your answer.

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Q: f(Tn) f'(In). For the function f(x) = r- 2x 3. write Newton's formula as n 1 F(In) for solving f() =…

A: See the answer below

Q: Determine the position function if the acceleration function is a(t) = 6sin t+5, the initial…

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Q: TOPIC: OPTIMIZATION IN DERIVATIVES Directions: Read and analyze each problem carefully and solve for…

A: Volume

Q: 2. Describe in word all transformations involved. y = -3sin(180° – 4x) + 5

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Q: Begin with the Maclaurin (Taylor) series: cos r = 1 - 2! 4! 6! (a) Evaluate cos 0. (b) List the…

A: According to the guidelines, we are instructed to answer 1 question or 3 sub question,the others can…

Q: ICLO-3 Use the graph to ist() de.x) dx and S(x) dx in order, from smallest to largest 05 0 0.5 52 25…

A: Here, the curve is above the x-axis for [0,1] and the curve is below the x-axis for [1,2] &amp;…

Q: (4n². En=1 2 - 2n + 6, - limit comparison test -1 (8,² + n – 8) 7

A: The given series,      ∑n=1∞4n2-2n+68n7+n-8