x² dx 2 √x² + 16

Q: t²y' + 2ty - y³ = 0

A: To solve the following differential equation.t2y'+2ty-y3=0

Q: Rebecca's investment account was valued at $15,000 but then lost 21% of its value. What percent…

A: Answer is in step 2.

Q: For certain types of crabs, the allometric relationship between the weight C of the claw and the…

A: The given data is: C=0.09W1.59 Find the percent rate of change of the claw weight in terms of the…

Q: If f(x) = f'(x) = 9x + 5 7x+5' F what's f'(x)?

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Q: A cell culture contains 7 thousand cells, and is growing at a rate of r(t) = 2e0.09t thousand cells…

A: Let's find total cell count after 3 hours.

Q: Find the formula for the nth term of the sequence a. 17, 30, 43, 56, 69, 82, ... 1 3 7 11 15 b.…

A: Since you have posted multiple questions, we are supposed to only first three questions. If you want…

Q: 7. Solve the initial value problem as a linear first-order differential equation: xy' + 2y = 2²-1+1,…

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Q: 3x²ydx + (y + x³)dy = 0 a. b. xydx + y²dy = 0

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Q: y=x y²gx base view cross-section The base of a certain solid is the area bounded above by the graph…

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Q: Question Differentiate the series represented by the function f below term-by-term to find the power…

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Q: Kelsey took out a $32,000 student loan with a fixed interest rate to pay for college. Kelsey did not…

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Q: Use Cramer's rule to solve the system if D 0. In the case where D = 0, use Gaussian elimination or…

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Q: Suppose that f(1)=9and that f′(x)≥4for all values of x. How small can f(9)possibly be?

A: Topic = Functions

Q: Please use a double integral (in polar coordinates) to derive the formula for the area of a circle…

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Q: A cell culture contains 7 thousand cells, and is growing at a rate of r(t) thousand cells per hour.…

A: Use the formula given and the initial amount cell to find the final amount.

Q: A cell culture contains 4 thousand cells, and is growing at a rate of r(t) = 15e0.23t thousand cells…

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Q: A cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. The material…

A: Given A cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. The…

Q: A population numbers 10,000 organisms initially and grows by 2.9% each year. Suppose P represents…

A: NOTE: Refresh your page if you can't see any equations. . the initial population is a=10000 and the…

Q: Find the inverse of the following function and state its domain. f(x) = 8 cos(12x) +7 Type 'arccos'…

A: solution:-f(x)=8cos12x+7Range of cos function is[-1, 1]Range of f(x): 8[-1, 1]+7Range of f(x): [-8,…

Q: INSTRUCTIONS: Evaluate, and simplify if needed, the following hyperbolic related expressions... (a)…

A: Three problems are given. We have to solve these accroding to their operations.

Q: Let z = x + y² with x = y = t. Then, the derivative of z with respect to d) at t = -1 is dt t (z'(t)…

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Q: Daisy wants to enclose a rectangular field with three internal partitions as shown. If there is…

A: NOTE: Refresh your page if you can't see any equations. . x=width of the rectangle  y=length of the…

Q: Find the following using the table below. 1 2 3 4 3 4 2 1 4 X f(x) f'(x) g(x) g'(x) 2 1 4 2 1 34 3 1…

A: The given table is: Find h'4 if hx=fx.gx

Q: show tha (cos(r)e")=e" (cosa - sin x).

A: Given query is to find derivative using definition.

Q: The given differential equation is a logistic equation: True or false? Select one: O True O False dx…

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Q: The table below shows the velocity of an object (cm/sec) at each sec as it moves along a track for…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min.…

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Q: A rotating light is located 18 feet from a wall. The light completes one rotation every 3 seconds.…

A: we will find the required.

Q: Question Determine if the following statement is true or false. The series n=0 24" -x" is a…

A: The given function is:f(x)=e24x

Q: Each year 5% of the inhabitants of a rural area move to the city. If the current population is…

A: QA)24000×100-54 Given  Current population of Rural area = 24000 Rate of movement (Rate of decrease)…

Q: For the series -2 + 3 + (-9/2) + 27/4 + …, S14 =

A: It is a Geometric Progression where first term is -2 and common ratio is -1.5

Q: 1) The rate of change of the concentration of a drug in a patient's bloodstream measured in mg/l per…

A: Given :- f't=-100e-0.25t f't=Rate of change of the concentration of a rug in a patient bloodstream…

Q: 26 (x² + 1)² This can be transformed into a basic integral by letting Consider the indefinite…

A: We need to find out the integration.

Q: Of all rectangles with a fixed perimeter P, which has the maximum area? (Give dimensions in terms of…

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Q: A table of values for f, g, f', and g' is given below: (a) If F'(x) = f(f(x)), find F¹(2). (b) If…

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Q: Graph the first-octant portion of the plane. x+y+z=2 Choose the correct graph below. O A. Z y Q O B.…

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Q: If f(x)= square root x​,find f′(3).

A: Given  f(x) = square root x        = √x        = x^(1/2)

Q: dr Let A be the area of a circle with radius r. If dt Question Help: Video Message instructor Submit…

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Q: How many virus cells will be produced over the first two hours after the time of infection? (over…

A: We are given,  Rate of the virus, dV/dt = 150 * 2t - 30 Therefore, at any time t, the number of…

Q: ind the intervals on which f is increasing or decreasing. Find the local maximum and minimum values…

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Q: Find the domain of the following rational function X+B 7-64 500 Select the correct choice below and,…

A: Domain of a function y=f(x) is the set of all possible values of x for which f is defined.

Q: Find the absolute maximum and absolute minimum values of f on the given interval f(x) = x √4- x2…

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Q: Consider, -7y=e7 xy², dy dx a) Find an appropriate substitution and turn it into the linear equation…

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Q: This question reviews the process for integrating definite integrals using u- substitution and…

A: use the substitution method for finding the integral.

Q: Question. lim (x,y) →(2,-1) x + 2y : The following limit x3 x³ + 8y³ Select one: O does not exist. O…

A: To evaluate the following limit.limx, y→2, -1 x3+8y3x+2y

Q: Suppose a product's revenue function is given by R(q) = − 3q² + 700g, where R(q) is in dollars and q…

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Q: (²) (-1) (ƒ- g)'(-1): 1) = (f+g)'(-1)

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: a) Find the linear approximating polynomial for the following function centered at the given point…

A: Solution: a) f(x)=e-x Now it's the first derivative f'(x)=-e-x Now it's the second derivative…

Q: 1,5- 0 2 X √4-x² =dx 01-1 2

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Q: 3. f cos¹ 20d0

A: We know, ∫cosnxdx=(cos(n-1)x*sinx)/n + (n-1)/n ∫cos(n-2)xdx