f(x) = b сos(x) - 2 3x² - ax + b 2x - 4a { x ≤ 1 ax+b 1 < x < 2 x>2

Q: 23. The accompanying figure shows the graph of y = -x² shifted to two new positions. Write equations…

A: Given: The figure shows the graph of y=-x2 shifted to two new positions. To write the equations of…

Q: In problems 11-12, express each limit as a definite integral. (they are given using right endpoints)…

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Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

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Q: (1 point) Find the limit of the function lim (x,y) →(0,0) sin(√x² + y²) x² + y² f(x, y) as (x, y) →…

A: See this solution in below.

Q: 10. Determine the convergence of the following series using the root test. If the root test is…

A: Given data:- The given equation, ∑n=1∞n+1n+2n

Q: For # 1-12, differentiate 1₁ f(x) = (x² - 3x + 5)35 3 2. g(x) = √²-5 3/x2-5 3. y = sin x² 4. y =…

A: We need to differentiate function.

Q: Let P = 1x, y2 be a point on the graph of y = x2 - 8.(a) Express the distance d from P to the point…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: graph each equation.   3x - 2y = 12

A: Given data:- The given equation is, 3x-2y=12

Q: A chemical substance has a decay rate of 6.5% per day. The rate of change of an amount N of the…

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Q: 14. x+5 x²- x - 14x +45 Describe the set of x-values where the function is continuous, using…

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Q: This problem tests calculating new functions from old ones: From the table below calculate the…

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Q: 8. Use the limit comparison test to determine the convergence of the following series; state what…

A: See this solution in below.

Q: 5. Bernoulli's Equations a. 6y²dx-x(2x³ + y)dy = 0

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Q: Find the given limit (x² - 1)(y² - 4) lim (x,y) →(1,2) (x - 1)(y-2)

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Q: (a) J x² dx 3x + 2 x + 7 (b) 6) [ √2+1 da dx

A: Since multiple questions are asked, I am answering first question

Q: 2. y=x+c₁e* + C₂е¯x

A: Given :y=x+c1ex+c2e-x

Q: Find the equation of the tangent line to the curve y = 8 sin æ at the point (7,4). The equation of…

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Q: The function s(t) describes the motion of a particle along a line. s(t) = t3 − 10t2 + 32t − 230…

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Q: Use the geometrical series formula to evaluate the following: k=2 3 5k

A: Given :- ∑k=2∞35k

Q: Explain how the range of the function f1x2 = x2compares to the range of g1x2 = f1x2 + k.

A: Given: f(x)=x2 To explain: How the range of f(x) compares to the range of g(x)=f(x)+k.

Q: Given the plane л: 2x + y - 3z - 2 = 0, and the lines l₁: 2 - x = = Z-4 3 2 a) Find a set of…

A: The givne plane is π: 2x+y-3z-2=0 ........................................ (1)  and the lines l1:…

Q: lim x→7 x-7 14 x² - 7²

A: SOLUTION-

Q: Find a general formula for f(n). ƒ(x) = (x + 7)−¹

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Q: D. Verify the general solution and obtain the particular solution using the given initial…

A: Differential equation

Q: Find the average rate of change of f1x2 = 3x2 - 2, from 2to 4.

A: Given, fx=3x2-2,    2, 4

Q: Integrate. S2x² sin (12x) dx = +C

A: Given query is to find the integral.

Q: Find the interval of convergence of the following series Σ(-1)₂(x - 2)n n5n n=1

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Q: 2. Use the graph below to determine whether the statements about the function y = f(x) are true or…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the…

Q: 5) Square PQRS with side length x is subdivided into four triangular regions as shown such that area…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Evaluate where f(x) = 7 x + 8. If the limit does not exist enter DNE. Limit= Number lim h→0 ƒ(1+h) —…

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Q: State whether the equation is ordinary or partial, linear or non-linear, and give its order and…

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Q: Let f(x)=−3e^x+2+e^4 f′(0)=

A: SOLUTION-

Q: O D. dependent variable = y, second order, first degree, not linear

A: The given differential equation

Q: 15. Find the limit. lim X48 lim X-8 sin 15x 19x sin 15x 19x =

A: See this solution in below.

Q: 6. Let f(x) = 4x² - x + 2 √x Find the equation of the tangent line (in the form y = mx + b) at x = 1…

A: To find the tangent line.

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

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Q: 3. Consider the initial value problem y′ +y=1-², y(0) = 30› where yo denotes some real constant. (a)…

A: To find the solution of given differential equation.

Q: Determine how much time is requiredfor an investment to double in value if interest is earned at the…

A: Given data:- The given rate of interest, r= 6.25%  Assume the required time is t years.

Q: 3. Determine whether the sequence an = n cos ní is bounded, bounded above. bounded belew, or none of…

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Q: Solve the following D.E. using two(2) methods (y-2) dx (x - 4y + 5) dy

A: We have to find the solution of the given differential equation.

Q: (Question-Solution-Final Answer-Conclusion format) E. Generate solution of the first-order…

A: The solution of given exact differential equation is as follow.

Q: ating factor (IF) of the equation: - 4x²y + 2xy² + xy + 2y)dx + (2y³ + 2x²y + 2x)dy = 0 e of the…

A: We will find upon multipication which factor make above differential equation exact .

Q: Evaluate the following integral. z+7 z(z²+9) dz

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Q: Derive a Differential Equation that is free from arbitrary constants: y = Ae²x + Bxe²x

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Q: Determine the solution of the differential equation: dx + -1 dy y² y

A: The given differential equation is dydx=x2y2+xy-1

Q: Solve equation log5x+log(x-1) = 2 without using a calculator.

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Q: You want to make an 80° angle by marking an arc on the perimeter of a 12-in.-diameter disk and…

A: Given data:- The given angle is, θ=80° The given diameter is, d=12 in So, the radius is, r=6 in.

Q: Find the derivative 1. y - 12 2. y = 8x³5x² of each function defined as follows. sredin 8² +1x + 5 -…

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Q: 11. For the following series, is it convergent? If yes, is it absolutely convergent? Σ+1 1 n=1 Α

A: See this solution in below.

Q: Integrate the following. 6° 0 8x 12e dx =

A: