f(x) = { 2x + 1 10 - x x < 3 x ≥ 3; a = 3:

Q: Find the absolute maximum and absolute minimum values of the function, if they exist, over the…

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Q: An angle's initial ray points in the 3-o'clock direction and the angle measures radians. Which of…

A: We have to choose correct option

Q: Suppose f(x) = 6 - x². (a) Find the slope of the tangent line to the graph y = f(x) when x = 2.…

A: a) f(x)=6-x2…

Q: Solve the differential equation with complete solution.

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Q: Find the area between the curves f(x)=1-2x and g(x)=-x-1 over the interval [-4, -1]. (A) 13.5 units²…

A: topic - Area between the curves

Q: 3x²y' = x(5-6y) x = 1; y = 2

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Q: Jo (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (3,-5) X Evaluate -30

A: Here we have to evaluate        ∫c(2x-y)dx+(x+5y)dy    C: x-axis from (0,0) to (0,-5) and (0,-5) to…

Q: 2ydx + x(x² In y-1)dy=0

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Q: Find the arc length L of the graph of r(t). L r(t) = 12 cos(t)i + 12 sin(t)j + tk, 0≤t≤ 2m

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Q: x² x-o ex-x-1 Evaluate lim А A) 0 B) 1 C) 2 D ∞ by applying L'Hôpital's rule.

A: find limit using L hospital rule option C correct answer

Q: dx 1+√x-2

A: We have to solve  ∫dx1 + x-23.

Q: The Bernoulli's form of the differential equation xdy - [y + xy³ (1 + ln x)]dx = 0 is

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Q: Solve the equation. Give your answer correct to 3 decimal places. 10,000 = 1500e0.07x

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Q: etes the stateme I all the intervals w

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 10 S™ ||ti + 1²i|| dt

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Q: Using trigonometric substitution to evaluate, 2 5² dy y√√y²-25

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Q: Given the graph of f, determine which is larger in each case. 10 f(6) is [Select] than f(8)…

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Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

A: We can solve as follows

Q: 4- 3- 2- 1- X▶ 1 2 3 ZA 10 4 13 3 P 2 Ty 1

A: we have given 3D cartesian coordinate system

Q: Solve the differential equation y Pemer 6a y5 subject to the condition that y 3 when = 3.

A: Here we have to solve the given differential equation

Q: Find the limit. lim (t i − 3 j + t² k) t→4 lim (t i − 3 j + t² k) = = i t-4 i+ i j+ k

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Q: 1. x +4 √x -dx

A: We will use substitution method.

Q: A company determines a cost function of C = 6x² - 180x+2000, where is the cost (in dollars) of…

A: Given: We need to find the value of x for which c is having minimizes the cost. So,…

Q: Use substitution to evaluate sin2x√/4+9sin²x dx A (26/13-16) B 27(26√/13 (26√/13 – 16) C 27/7 √…

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Q: Using trigonometric substitution to evaluate: The first thing we'll need to do here is complete the…

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Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

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Q: car starts from a point at 2:00 p.m. and travels north at 40 mph. Another car starts from the same…

A: Given query is to find the rate of change of distance between the cars.

Q: Suppose that the profit a company makes from selling x units of a product is given by : P(x) = -2x²…

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Q: S: - V dx 2x - √x + 4 VX

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Q: 19T (a) Find an angle between 0 and 27 that is coterminal with 10 (b) Find an angle between 0° and…

A: Here we have to find the coterminal angle.

Q: Calculate the first five derivatives of f(x) = sin(x). Then determine f(24) and f(25). (Use symbolic…

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Q: 3. In evaluating the integral S x² dx (x-1)²(x²+1) you will decompose x² dx (x-1)²(x²+1) into…

A: No Partial fraction formula is incorrect. Actually it is, x2x-12x2+1=Ax-1+Bx-12+Cx+Dx2+1Multiply…

Q: √x x² ln x dx

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Q: Find the area of the region bounded by the given curves. Decide whether integrate with respect to x…

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Q: Write an arithmetic expression for the function f∘g, and find the value of f∘g(5) Write an…

A: We have to find the function

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: xy + 1 lim (x, y)→(1, −1) x² − y²

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Q: Using trigonometric substitution to evaluate: The first thing we'll need to do here is complete the…

A: To find  after completing the square  what will be the obtained polynomial.

Q: 1 13-17. For the probability density function f(x) = (x + 4), over the given interval [6, 48 10],…

A: probability function is given.

Q: Activity: 1. Compute the area of the surface formed when f(x) = 2√1-z between -1 and 0 is rotated…

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

Q: dy 1. = e3x+2y dx X = 8; y = 1

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Q: The revenue from the sale of a product is given by the function R = 5000x-0.1x³ dollars. Use…

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Q: The Bernoulli's form of the differential equation x²dy+ (2xy-y³dx=0 is The Bernoulli's form of the…

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Q: f(x² - 8x +21)²

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Q: > > For the following equation, find one solution graphically and then find the remaining solutions…

A: To find the solutionof the given 3 degree polynomial =0 equation

Q: -1 Evaluate 1×₁√/2 + + 5 1+ 25 A csch ¹1x + C 1 B (D dx csch=15+C csch-¹5+C 1 -csch¯¹|x|+C csch

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Q: KE-5 f(x) g(x) Find the area enclosed between f(x) = 0.6x² + 10 and g(x) = x from x = −5 to x = 3.

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Q: Compute the surface integral over the given oriented surface: F=y³i+7j − xk, portion of the plane x…

A: We need to find surface integral.

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A: Get the aame answer written in bracket of (d) it is correct

Q: 3.x√x² + 1dx

A: Given query is to find the value of the integral.