4 [Lnce) - Lnce") dx

Q: State the domain: -8 -6 -4 -2 4- 2- 0 --2- 2 4 6 8

A: Solving the problem by finding the value of the domain of the given graph.

Q: Use the graph of the function to estimate the intervals on which the function is increasing or…

A: We can answer the questions in the following steps.

Q: State the domain: -6 -4 -2 6 2- 0 -2 2 4 6

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Q: Prove the following, using the definition of a limit (convergence to a point). 3 n+2 lim 2- 004-u =…

A: We have given to prove  limn→∞2-3n+2=2 Taking left hand side of equation LHS = limn→∞2-3n+2 LHS =…

Q: A manufacturer can produce 3510 cell phones when x dollars is spent on labor and y dollars is spent…

A: SOLUTION-

Q: Consider the following function and answer the sections: f(x)= -- 25x+1 3 d) Locate the intervals of…

A: NOTE: Refresh your page if you can't see any equations. . take the first derivative

Q: (iii) Find the total area of the following shape PQRS. (You may need a calculator) 7cm 12pt…

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Q: 1.Use interval notation to determine f(x)

A: Concept: The graph of a function: The graph of a function is the set of all points (x,y) in the…

Q: 1. The position of a particle moving in the ry plane at time t units is given by the vector equation…

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Q: Find dy. dx Please, expert, I do not have much money. Solve as many questions as possible, please…

A: To find the derivative of the given functions.

Q: Express a = the limit lim Σ(4(x*)² – 3(x* )³) Aï; over [6, 7] as an integral. n→∞ i=1 Provide a, b…

A: The given limit limn→∞∑i=1∞4xi*2-3xi*3∆xi over the interval 6,7

Q: [1/3 Points] f(x) = DETAILS PREVIOUS ANSWERS Find an expression for the function whose graph is the…

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Q: QUESTION 10 Use cylindrical coordinates to evaluate the integral below. √x² + y²dv, where E is the…

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Q: ΣΠ n=1 a. 1+4+1 6n 61 5 b. 41 5 is equal to c. The series diverges. d. 66 5

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Q: Five years after purchase the auditor of a newspaper company estimates the value of their printing…

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Q: 52. y' - y = y³

A: We need to solve D.E.

Q: Find dy/dx by implicit differentiation. xy + 2x + 2x2 = 3

A: Given, xy + 2x + 2x2 = 3

Q: Solve the differential equation (1 + y² + xy²) dx + (x²y + y + 2xy) dy = 0 ɑ. 2y+x²(1+x)² = C b. 2x…

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Q: Use differentials and the graph off to approximate the following. (Round your answers to three…

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Q: Find the Riemann sum for f(x) = x² + 3x over the interval [0, 8] (see figure), where x₁ = 0, x₁ = 1,…

A: The given function fx=x2+3x over the interval 0,8 with x0=0, x1=1, x2=3, x3=7 and x4=8 Riemann sum:…

Q: Consider the following function. f(x) = x² - 4x + 5 (a) Find the critical numbers of f. (Enter your…

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Q: 3. A particle moves along the x-axis with velocity v(t) = t2-1, with t measured in seconds and v(t)…

A: Given velocity v(t)=t2-1 To get the total distance traveled, we have to integrate the velocity…

Q: Find the indefinite integral and check your result by differentiation. (Use C for the const (x³ -…

A: The given integral is ∫x3-12x-4dx use the integration formulas, ∫xndx=xn+1n+1+C∫dx=x+C use the…

Q: Find the differential dy of the given function. (Use "dx" for dx.) 8 y = 2√x + 4 dx *- (√x +++1)x dy…

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Q: Given: R(t) = ti + t2j + t3k, find the curvature and the radius of curvature at any point.

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Q: cos² xy' = (1 + y²)

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Q: For the function ƒ(x) = x² – 11, find the equation of the tangent line at å = −12.

A: Given function f(x)=x2-11 We have to find the equation of tangent line at x=-12 Derivative of a…

Q: Evaluate the integral: 224-25 dyda 2₂ 2 [1-4] 02[1-4] +0 0.[4] 4π [+¹]

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Q: 21. y = sech(√√x)

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Q: The derivative of f(x)=sec x is Select one: a. sin x COS X O b. C. O d. sin ² x 2 COS .X sin x cos²x…

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Concept: Concavity: if f''(x)>0 ∀ x∈R implies that f(x) is concave upward  And if f''(x)<0 ∀…

Q: Solve the differential equation (2x + y) dx (4x + 2y − 1) dy = 0 O a. 5x 10y + In 10x 5y 2|= C O b.…

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Q: ve passes through the point (0, 9) and has the property that the slope of the curve at every point P…

A: Topic:- application of integration

Q: Determine the coordinates of the focus and the equation of the directrix then choose the graph of…

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Q: For the function f(x) shown below, determine lim f(x). f(x) = x² - 10 -3 - 2x for for +-←æ x -4

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Q: Utilize the function to evaluate the indicated expressions. Simplify. f(x) = 6x-18; ƒ (-), f(x)

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Q: .find g(-4),g(-2),g(0),g(2) and g(4). 2. find the domain and range of g. (Use interval notation)…

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: (c) The complex number graphed below can be expressed in rectangular form as z = 1+ i z = ImA i- 0 1…

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Q: Find the area of the surface. The part of the plane 3x+2y+z=6 that lies inside the cylinder x² + y²…

A: Since, the equation of the cylinder is x2+y2=4 and  3x+2y+z=6⇒z=6-3x-2yParameterize the surface of…

Q: Compute the length of the curve r(t) = (-4t, 5t — 3, -2t + 3) over the interval 0 ≤ t ≤9 L =

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Q: 7/2012 - y x² + y² (²) di dx + (ye³ +2²) dy = 0

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Q: 2. Simplify the radical expression: 7 2 -1 156x y z -5 -1 2 √39x y Z

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Q: 8. Simplify 2√80-7√20 a) — 6√5 b) 90 c) 5√22 d) 22√5

A: Concept: Square root: The symbol for a number's square root is n. The outcome of multiplying or…

Q: 7. Simplify the radical expression √7 a) 26 b) √35 c) 14 d) 196

A: The given radical expression is 7×28 use the algebraic properties, am×bm=abm

Q: 6. Find the functions whose equations in factored form have a factor that is cubed. These functions…

A: see below the answer and explanation

Q: 5. Find the functions whose equations in factored form have a factor that is squared. These…

A: Here is a structure of a function whose equation in factored form has a factor that is squared:…

Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

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Q: A manufacturer can produce 2700 cell phones when a dollars is spent on labor and y dollars is spent…

A: