dy dx +²y=e*yª dx 4

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = x4 -…

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Q: 3. What are the values of A, B, and C so that a. A = -2, B = 3, and C = 4 b. A = 2, B = 3, and C= -4…

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Q: 2 √(√sinx + cosx)² dx

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Q: Find the arc length of the graph of y == 6 2x on the interval 2 L2

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Q: Calculate the double integral. 7x S₂ x ² + x²0² +y dA, R= [1, 4] x [0, 1]

A: Explained below

Q: Use implicit differentiation to find dy/dx. b. Find the slope of the curve at the given point.…

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Q: Use the given acceleration function and initial conditions to find the position at time t = 1. a(t)…

A: (9)

Q: Find and simplify the function values. f(x, y) = xy

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Q: Differentiate implicitly to find dy/dx. cos(x) + tan(xy) + 4 = 3

A: The given function,   cosx+tanxy+4=3

Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the marginal…

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Q: A rectangle is constructed with its base on the diameter of a semicircle with a radius 18 and with…

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Q: Use polar coordinates to find the limit. [Hint: Let x = r cos(8) and y = r sin(8), and note that (x,…

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Q: Prove the identity. tan 0 1+ tan ²0 2 sin 20 To verify the identity, start with the left side and…

A: Basic question of trigonometry.

Q: f" s [0, π]. Also, find the smallest value of x at which the average value occurs. Given that sin…

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Q: Evaluate 1) |x-2|dx

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Q: random variables X and Y have the joint density f(x, y) = {1.5 (x² + y²),0 ≤ x,y ≤ 1, 0, elsewhere.…

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Q: Find the average value of f over the region D. f(x, y) = 6x sin(y), D is enclosed by the curves y =…

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Q: Determine la derivada de ƒ (x) = 5 sec x − √√3 csc x - Llene los blancos (sombreados de azul claro)…

A: I have stated the used formulas in the solution

Q: Consider the following. x = et, y=e-2t (a) Eliminate the parameter to find a Cartesian equation of…

A: Given  x=et  ,  y=e-2t   Then we can find out cartesian curve by eliminating parameter 't' .

Q: Evaluate f dx √1-16x²

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Q: b. Stan ³0 sec²0 do

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Q: Sketch the region enclosed by the curves and find its area. 1 √1-9x2¹ Y=2 NOTE: Enter the exact…

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Q: Solve the differential equation by variation of parameters. 1 7 + ex y(x) = = y" + 3y + 2y =

A: The given differential equation is;  y''+3y'+2y=1/(7+ex).

Q: Solve, finding all solutions in [0,2) or [0°,360°). 18 cos²x = 9 The solution(s) in [0°,360°) is/are…

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Q: The rate of change of N is inversely proportional to CSC(x) · N(x), where If N () = 1, and N (5) =…

A: Given: dNdx∝1cscx.N

Q: 8 n = 0 Identify an (-7)" (2n + 1)! Evaluate the following limit. an+ 1 an lim 718 an+ 1 Since lim…

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Q: 5. y = 8x³ - 1 3 4 x 2 - 1 -

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Q: Let D be the planar region bounded by y = 0, y = x², and x = 1. The integral ff cos(z² + y²) dA…

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Q: The distance from the ground of a person riding on a Ferris wheel can be modeled by the equation d =…

A: Follow the procedure given below.

Q: Determine the area between the graphs of the equations y=x and y=(x)^2-1. Integrate over the x-axis…

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Q: Given sec 8- -13 $ 3 03 N what is cos?

A: Solving the problem by finding the value of Cos.

Q: Use integration by parts to solve for J x secx tanx dx.

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Q: Find the Taylor or McLaurin series for the following functions f(x) = = x a=0 - 2x "

A: We have to find the McLaurin series for the given function.

Q: The position vector r(t) = 5ti+2tj+4tk describes the path of an object moving in space. Find the…

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Q: Differentiate implicitly to find dy/dx. ²+ y² - y² = 29 dy dx 11

A: This question is based on implicit differentiation.

Q: +5t, y=s - 5t, z = st² d aw/ot by using the appropriate Chain Rule. d aw/at by converting w to a…

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Q: For f(x) = (x + 1)²-3 where x > -1, find: a. The inverse function, f-¹(x) b. The domain of f-¹(x) c.…

A: Given f(x)=(x+1)2-3 We know that, A function g is the inverse of function f if for y=fx,…

Q: Evaluate sin'0 cos de Ꮎ

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Q: -π/3 sinx-cosx sinx+cosx Evaluate f dx

A: To evaluate the following integral.∫0π3 sin x-cos xsin x+cos x dx

Q: The value of an investment of $1000 earning 9% compounded annually is 110 V(I, R) = 1000 where I is…

A: Given that, the function is VI,R=10001+0.091-R1+I10. Obtain the value of VII,R.…

Q: Use the graph to find the point(s) of inflection of f. (Give your answer in the form of a…

A: Given: the graph is given we want to find inflection point and concave down range         Inflection…

Q: The parametric equations for the paths of two projectiles are given. At what rate is the distance…

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Q: 7. Find the equation of a line tangent to the graph of f(x) = cotx at x = π/4. Show all steps to…

A: Given :fx=cotx

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Which of the following shows the graph of y-cot -3m/2 -If -1/2 -1/2 0 7 0 T ay (1)-¹² w12 W 3/2 3w/…

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Q: 4. The process of finding a general formula for the slope of a line tangent to a certain curve is…

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Q: A rectangle is constructed with its base on the diameter of a semicircle with radius 18 and with its…

A: You need to understand the question by reading it properly and then draw the figure required for…

Q: x² - 2x x3 3x² - - dx -In 1x³ 3x² 1 + C Option 1 Option 3 - -In 1x³ 3x² 1 + C In 1x³ 3x²1+ C Option…

A: SOLUTION-

Q: Use the Ratio Test to determine whether the series is convergent or divergent. (-1)^-1_57 47n3 n = 1…

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Q: The rate of change of N is proportional to 20 + N(x), where N < −25. N(0) = 10, and N(2) = 25, find…

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