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Q: 1. y = ax? + 2be2x

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

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A: Given region bounded by y= sinx  from x=0 to x=1.4 

Q: 2. f(x) = V2x + 3, a = 3 %3D

A: 2) f(x)=2x+3,  a=3  slope of tangent line is m= dydxm=122x+3×2   m=12x+3Substitute x=3⇒m=12(3)+3    ...

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A: Given region bounded by x=0 , y=x and parabola y=2-x2    in first quadrant

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A: Topic:- geometry

Q: 24 3T Find the exact value of sin20 given tan0 == and t <0 < commanu option Find the evact valuo of ...

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Q: Given the following matrix and its eigenvalues -2 3 has eigenvalues R, = -3 and R, = 7 3 6 1. Find t...

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Q: If x? + y? = 100 and dy 8, find dt dx when y = 6. (Enter your answers as a comma-separated list.) dt...

A: Given that x2+y2=100dydt=8To find :dxdt when y=6Solution:x2+y2=100x=100-62=8x2+y2=100Diffranciate w....

Q: (12 let y.(z) be the solution for the initial valve problem given belaw. e y' + 6x"y = In(x), x>0, y...

A: The given DE is: x5y'+6x4y=ln(x)x...(1) x&gt;0 &amp; y(1)=5

Q: Letting I répresent the grams of salt in Tank A, and y represent the grams of salt in Tank B, set up...

A: Rate of change of salt concentration = difference of inflow salt concentration and outflow salt conc...

Q: 5-Vx 4) lim x-25 x-25 5) lim 7-x ל-x ( x² – x3 if x <2 6) Given the function g(x) 15x – 14 if x 2 2 ...

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Q: valuate the triple integral. 6xy dV, where E lies under the plane z = 1 + x + y and above the region...

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Q: Now that we have practiced finding our eigenvalues 1-R 2 becomes has eigenvalues R, = 2 and R, = - 3...

A: Given the matrix and its eigenvalues3-32-4 becomes 3-R-32-4-R has eigenvalues R1=-3 and R2=2.To find...

Q: 81. During a rainfall, the depth of water in a rain gauge increases at a rate modeled by R(t) = 0.5 ...

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Q: Find the equation of the tangent plane to the surface z = ly² – lz² at the point (-2, 0, -4). 4x+0

A: Given   z=y2-x2 We have to find equation of tangent line at the point(-2,0,4)

Q: let y (x) be the solutiou for the initial valve 12 problem given belaw . ダ+6xg = In lx) , x >o, yA)=...

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Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent ...

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Q: Find the exact value of cos20 given sin0 =- and 0 < 0 < 13

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Q: Evaluate the expression gP6 8P 9.

A:  Question: Evaluate the expression 8P6

Q: 1. (a) Plot the first four terms of the sequence 3n2 Зп + 2 n=1 (b) (i) Write in bracket notation th...

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Q: IV. In each item, solve the constant of proportionality k, form the complete variation equation, and...

A: This question can be solved using the concept of constant of proportionality.

Q: 2.) Find 1st derivative of y = e-'In (x-1)

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Q: The graph of f', the derivative of the function f, is shown above. Which of the following could be t...

A: From the given graph of f' we can see that f' is positive when x = (-Infinity , 1] And also f' is ne...

Q: Express the following rate as a fraction in lowest terms. For example, you would enter an answer of ...

A: Express the following rate as a fraction in lowest terms. For example, you would enter an answer of ...

Q: Calculate the amount of money​ you'll have at the end of the indicated time period. You invest ​$400...

A: Given query is to find the amount after 8 years.

Q: A particle moves along the x-axis so that at time t >0 its position is given by x (t) =t² – 10t + 10...

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Q: Assume that all the given functions have continuous second-order partial derivatives. If z = f(x, y)...

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Q: dy da

A: Implicit differentiation : when you have both terms x and y in an equation differentiating the equat...

Q: This exercise uses the population growth model. A certain culture of the bacterium Rhodobacter spha...

A: A)n(t)=n0 2taAt t=0,n(0)=1515=n0 20n0 = 15The bacteria doubles every four hours;At t=4 hours, 2(15) ...

Q: Given the triangle below, find cos(0). Enter the answer as a fraction. 29 21 20

A: This question is based on trigonometric ratios.

Q: Find y' if xY = yš. %3D y' =

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Q: 3. Determine the set of points at which the function is continuous. (a) F(x, y) = V1+x – y (b) G(x,y...

A: To find the sets where the function is continous. Note that, the function is continuous on a set whe...

Q: Standing on a level road 50 feet from the base of a billboard, the angle of inclination to the botto...

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Q: Given the following multiplication problem -2 1 = - 1 Perform the multiplication to find your two eq...

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Q: 1. The time required for a group of men to complete a certain job is inversely proportional to the n...

A: These questions are related to proportionality equations, we will solve them using given information...

Q: If f(x) = 21, find f'(– 10).

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Q: Write the first-order differential equation in standard form. (Use yp for dy/dt.) dy dt = 7y + ty + ...

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Q: Linear Approximation (Level 1) Mar 20, 10:00:24 PM Watch help video Let f be a differentiable functi...

A: Given query is to find the value of f(4.2).

Q: Riemann and Trapezoidal Sums from Tables Mar 20, 10:02:55 PM O Watch help video Selected values of f...

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Q: Draw a line to show how the white can escape from check ,don’t forget:move ,block or capture

A: In this question we have to find how white can escape from check.

Q: f(x) = x^3 -1000x +2022 How many local minima does this function have? are inflection points of thi...

A: Given function f(x)=x3-1000x+2022

Q: Find any horizontal and vertical asymptotes for the function. (Enter your answers as a comma-separat...

A: Given y=x+1x2-16 We have to find horizontal and vertical asymptotes.

Q: 4.) Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder ha...

A: The given question can be solved as shown in step2

Q: 8. f(x) = (2x - 3)(6x – 2)10

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Q: Solve the following equation on the interval [0,2) a. V3cosecsce = 2cos0 11. b. 2 sin2 x - 7sinx + 3...

A: a) 3 cosθ cscθ=2 cosθb) 2sin2x-7sinx+3=0

Q: Solve the initial-value problem by using integrating factors. y' = y + 8xex, y(0) = 8 y(x) =

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Q: +00 Inn E(-1)" n2 n=2 divergent convergent

A: To solve the following problem

Q: 1 1.1 18 6 2. Find the sum of the first 5 terms of the geometric series +

A: topic - sum of geometric progression

Q: I Find the second derivative (y") of the following functions and simplify the final results. 6. y = ...

A: Topic:- derivatives  Note :- as per our guideline if more than one question uploaded than only first...