dx 1+√x-2

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: (1+x²)dx+(y− tan^'(x)) dx = 0;

A: (1+x^2)dy+(y-arctan(x))dx=0 (1+x^2)dy=(arctan(x)-y)dx dy/dx=arctan(x)/(1+x^2)-y/(1+x^2)…

Q: A container that has 5 L of water with 1 kg salt dissolved is to be filled by pure water at a rate…

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Q: EDO dy/dx = x2 /1+y2

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Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

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Q: Calculate the following derivative if h(w) = √wew. (Use symbolic notation and fractions where…

A: We have to find the value of derivative

Q: Find a power series representation for f. (Give your power series representation centered at x = 0.)…

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Q: Given that [²x²x 1/3 dx = Need Help? Read It use this fact and the properties of definite integrals…

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Q: 2. Write the given (total) area as an integral. (3 points each) a. The area above the x-axis and…

A: area

Q: Consider the curve C of equation : (x²-2y+y²)² = x² + y². From the following options choose the one…

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Q: Find the absolute extrema of the function on the closed interval. f(x) = x3 − 12x,    [0, 6]…

A: To find the absolute extrema of the given function on the interval [0,6].

Q: In the figure, the equation of the solid parabola is y=x²-8 and the equation of the dashed line is y…

A: topic - area of shaded region

Q: Question Evaluate the indefinite integral given below. [ (sin³ (sin³ (x) - 3 sin² (x)) (sin (x) — 4…

A: Given,             ∫sin3x-3sin2xsin4x-4sin3x6cosxdx

Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost…

A: Total Cost function is given as , Cx=0.01x2+0.6x+20 find ∆C and C'x when x=40 and ∆x=1.

Q: Find f'(x) from f(x)= = 2x³x²x+ 2 using the definition of a derivative. (Do not include "f'(x) =" in…

A: Use simple differentiation formula.

Q: Critic points of an equation problem: Consider the equation Find the critic points of the equation…

A: The given function is: f(x,y)=-x3+y4+3xy+5x2-3y

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

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Q: Convert the angle in radians to degrees. (31/9)π

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Q: Back Next Question 5 Indicate the answer choice that best completes the statement or Find all…

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Q: The angle below subtends an arc length of 5.52 cm along the circle centered at the angle's vertex…

A: We know that θ=lr⇒θ=5.522.3=2.4 radians.

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: 3x a) fx5e³x dx 2x² + 3 c) f x(x − 1)² dx TU b) f sin³ xdx 4 d) f tan5x sec³x dx

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Q: Q-2- A Particle moves in a straight line so that after t sec. it is Sm. from a fixed Point O on the…

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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: Compute the flux of the vector field F(x, y, z) = 3x + 3yk through the surface S, where S is the…

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Q: Use algebraic and/or graphical methods to solve the inequality. 91 - 13x > 13 X

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Q: Find the area between y = 8 sin x and y = 10 cos x over the interval [0, π]. Sketch the curves if…

A: We have to find out the area bounded by the two given curves.

Q: . Compute f(x) dx ƒ(x) = { 2x if x < 1 4 if x ≥ 1

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

A: The given problem is solved below in detail.

Q: In a girl's basketball game, Brooklyn scored 35 points from 2-pointers and 3-pointers. Her father in…

A: We need to find How many pointers she made.

Q: Consider the function: Step 1 of 2: Findf"(x). f(x) = = 2x + 7 5x - 10

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Q: Find the position and velocity of an object moving along a straight line with the given…

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Q: The base of a certain solid is the area bounded above by the graph of y = f(x) = 9 and below by the…

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Q: ∫√(1+2sin3x) (cos3x)dx

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Q: When records were first kept (t = 0), the population of a rural town was 230 people. During the…

A: Population model

Q: Verify the orthogonality p

A: answer is in next step

Q: QUESTION 8 If you save $270 per quarter for retirement in an account that earns 8% interest per…

A: After 38 years interest.

Q: In a shop, the revenue and the cost of a product are determined by R(x)=22x and C(x)=2x²+2x+1,…

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Q: Can anyone please help me to solve this problem

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Q: S dx x - 4 x2+2x-15

A: Let's find.

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

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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: 2 Let f(x) = ₂²5 on [-3, 1]. x+5 Find all numbers c in [-3, 1] for which the derivative is equal to…

A: We need to find values of c.

Q: √x² +16 dx

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Q: long as 1 235 times as long 235 times as long 235 times as long 360 235 times as long 2π 360 times…

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Q: 11. If we are told that the tangent line to the graph of y = f(x) at the point x = 3 is y = -2x + 1…

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Q: Condense the expression to the logarithm of a single quantity. 1 -[8 In(x + 2) + In(x) – In(x8 – 5)]…

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Q: A large tank is partially filled with 400 L of fluid in which 5 kg of salt is dissolved. Brine…

A: The number of kilograms of salt in the tank after 30 minutes is 133.18 kg.

Q: Solve the equation. 3) 49x874x

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Q: I. Read carefully the statements below. Write TRUE if the statement is always correct, otherwise,…

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