3x³y² +y dy 3y3x2-5x4 dx 2.) + = 0

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Q: 3. f(x) = -2 x+1

A: 3). The given function is: fx=-2x+1 And the expression for the derivative is: f'x=lim∆x→0fx+∆x-fx∆x…

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Q: Evaluate the limits. (You may not use L’Hopital’s Rule). limx→infinity tan^−1 (ln(1/x^2 + 2e^-x

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Q: d) f(x,y)=x+y+x³y² e) f(x,y)=6x+10y f) f(x,y)=x0.25 0.75 Calculate of/ox (the partial derivative),…

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Q: After t days of advertisements for a new laundry detergent, the proportion of shoppers in a town who…

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Q: x³-4x-10=0 1 Use your calculator to determine the next five estimates using x₁ = 4 as the initial…

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Q: 65-4 52-45+16 4/ A: 1- L-1,

A: given the function in laplace form

Q: B: Fit a second order polynomials to the data in the following: 5 6 12 X Y 1 4 3 8 4 10 61 13 70 10…

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A: Given :∫sec2lnxcos6lnxxdx

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Q: Let p(t) represent the population of a major city t years after 1950, as shown in the table and…

A: The population of city after 1950 is given as , Year 1950 1960 1970 1980 1990 2000 t 0 10 20 30…

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Q: lim. sin(t) t =

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Q: lim X 11 2 3√ x² + 4 - 5 2x²-15x-77

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Q: 191. y = √x from x=2 to x = 6

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Q: If f and g are continuous functions with f(2) = 4 and lim [2f(x) − g(x)] = 2, find g(2). x → 2

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Q: Let y=e¯*(Acos(x) + Bsin(x)) be the solution of the initial value problem for the differential…

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Q: Find the a. 3yx² + y² = k b. 3yx² - 3y³ = k 3yx² - y² = k solution of the DE y' c. d. yx² - y³ = k…

A: The given differential equation is  y'=2xy/y2-x2

Q: 3 y Find the length of the curve x = 9 + 3 4y on 3 ≤ y ≤ 5.

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Q: lim 8个8 5x 2x² +9

A: To find the limit of given function.

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Q: Find the partial fractions and solve for the constants: x+2 dx x²+x S A= -1, B= 2, C = -1 A=2, B =…

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Q: Given the function f(x):  f(x)= x^2 + 1 , − 1 ≤ x < 0          2x− 1 , 0 < x < 1          1 , x = 1…

A: Given the function f(x): f(x)= x^2 + 1 , − 1 ≤ x &lt; 0         2x− 1 , 0 &lt; x &lt; 1         1 ,…

Q: f(4+h)-f(4) h (Express numbers in exact form. Use symbolic notation and fractions where needed.) Let…

A: The function is given by fx = 1x Formula used to find the limit is f'4 = limh→0f4+h-f4h To evaluate:…

Q: 7. 3x² + 8x = 0 8. x²8x + 16 = 0

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Q: A. FUNCTIONS, LIMITS AND CONTINUITY 1. For the function f(x) = 3× find f(x+1)/f(x-2). *

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Q: Given that f(x) = 6 -√²+1 and g(x) = x - 7, find: 2 a) (fog)(-2) b) (fog)(x) = 6-√(x-7)²+1

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Q: hi isn't f(-4), not f(4)?

A: we can solve it by the observation of graph.

Q: In the following exercises, compute the antiderivative using appropriate substitutions, and state…

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Q: find each unknown value 2:9 = 6:?

A: Given, 2:9=6:?

Q: If ƒ(t) = (t² + 2t + 4) (7t² + 6), find ƒ´(t). Find f '(5).

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Q: Evaluate the integrals S 1 x2-7x+10 dx

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Q: 3. Given the function f(x) = (x²-1)/(x-1), determine if the function is continuous or not for all…

A: I am attaching image so that you understand each and every step.

Q: 3. Find the slope of the tangent line at the point (4,1) on the graph of f-¹ if f(x) = x³ + x + 2.

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Q: B: use Lagrange interpolation formula to determine the relationship between the force and velocity…

A: By using Lagrange interpolation formula to determine the relationship between the force and velocity…

Q: Determine the degree of the differential equati 3/2 2/3 (3x² ² 2 + 4xy) ¹ ² = (2y³d² - 4xy)" d²y dx²…

A: The given differential equation is; (3x2d2y/dx2 +4xy)3/2=(2y3d3y/dx3-4xy)2/3

Q: State the number of complex roots of each equation. Then find the roots and graph the related…

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Q: Evaluate each of the following expressions using the given table of values. -1 0 -2 1 0 -2 1 0 (b)…

A: Given:  A table of values is given. x -2 -1 0 1 2 f(x) 1 0 -2 1 -1 g(x) 2 1 0 -1 0 To…

Q: A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s²…

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Q: Evaluate the curvature of r(t) at the point t = 4. r(t) = (3 - 5t, e³¹-12, 8t - t²) (Use symbolic…

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Q: f(500) = f(1000) = (10000) = Graph f(x) using the graphing utility. f(x) = -10 &x+1 √4x +9 -5 y…

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Q: Find the upper bound for the error in estimating  6 3 1 x − 2  dx  using Simpson's rule with  n =…

A: Formulas used : 1x = x-1ddxxm =m(x)m-1

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