Solve the differential equation (d2y/dx2) - 7dy/dt = 0, y(0) = 1, and dy(0)/dt = 1

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Q: 2y Suppose f(x, y) = sin X in the direction of (1, 2). Then, 2y 2y i (a) ▼ f(x, y) = cos(2)21 +21) X…

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A: Given data  Six jokes about books.

Q: Let f(x,y)=(−(5x+y))^7 . Then     ∂^2f/∂x∂y =     ∂^3f/∂x∂y∂x =     ∂^3f/∂x^2∂y =

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A: Given: Initial population in 1890:  P0=6250 Growth rate: r=2.75%   (a) To estimate the population in…

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Q: Use the chain rule to find the derivative of f(x) = 4√9x7+7x10 Type your answer without fractional…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Given function:- fx,y=xy-x

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A: To evaluate the given limit of the function.

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A: we will find the required equation of plane .

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Q: Evaluate: S 5x²-3x+2 dx x³ - 2x²

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Q: Find the centroid of the thin plate bounded above by g(x) = x² and below by f(x) = x + 6.

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Q: Use the formula for nCr to evaluate the expression 11C4.

A: Given data:- Here, n=11, r=4 Use formula:- Crn=n!r!(n-r)!

Q: Find the derivative of the

A: We will find the required  derivative of given function.

Q: Write a word problem that can be solved by evaluating 7P3.

A: Given: 7P3. Formula Used: Prn = n!(n-r)!

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Q: Solve by the method of your choice:Using 15 flavors of ice cream, how many cones with three…

A: Given: n = 15 r = 3 Formula Used: Prn = n!(n-r)!

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A: The given points are: (8,1750),(16,3500).(32,7000),(64,14000). Here first coordinate represents…

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A: Given query is to find indicated limits.

Q: (1 point) Find the limit of the function lim (x,y) →(0,0) sin(√x² + y²) x² + y² f(x, y) as (x, y) →…

A: See this solution in below.

Q: Evaluate the definite integral leaving the answer in an EXACT form (no decimals): 5₁²¹0 dx

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Q: Evaluate (2x + 4)(3x + 2) d dx A) 6 C) 12x + 16 B) 6x² + 16x + 8 D) 30x² + 43x + 8

A: Given query is to find the Indicated derivative.

Q: Calculus Find the radius of convergence for the series (2n)! (n!)2x¹.

A: ∑n=1∞ 2n!n!2xn

Q: Let f(x) = √√4x² 4x² + 3x + 5

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Q: Find the parametric equations of the intersection of the planes x + (y − 9) + z = 0 and −x + (y + 9)…

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Q: A pizza can be ordered with three choices of size small,medium, or large, four choices of crust…

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Q: find the average rate of change from 2 to 3 for each function f. Be sure to simplify.   f1x2 = 3x -…

A: The average rate of change of function denotes how much the function changed per unit over the given…

Q: Find the following limit. lim x-x 2+ x - 4x³-4 5 x³x²+1 Number

A: ans=  -4/5

Q: Evaluate the integral. 11x² da (x + 1)(x² + 1)

A: This question can be solved using the concept of partial fractions.

Q: D. Verify the general solution and obtain the particular solution using the given initial…

A: Differential equation

Q: Example 2 (Calculator Active): For 0 ≤ t ≤ 10 days, the rate that a company sells t shirts, in 100's…

A: Given query is to find the rate shirt sold after 5 days .

Q: A triangle has vertices (0, 0, 0), (1, 1, 1), and (0, −8, 9). Find its area.

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Q: In this exercise you will conclude that a limit does not exist by computing the limiting using two…

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Q: On a part-time job, you are asked to bring a cylindrical iron rod of density 7800 kg/m³, length 88.6…

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Q: Find the implicit equation of the tangent plane to z = ln(x² + 1) + y² at the point (0, 5, 25).

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Q: 64. Consider the length h of the perpendicular from point B to side b in the given triangle. Show…

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Q: 3 x² + y² the direction of (-3, −3). Then, Suppose f(x, y) (a) ▼ f(x, y) (b) ▼ ƒ(1,4) = = = (c) fu…

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Q: se the suggested substitution to write the expression as a trigonometric expression. Simplify your…

A: answer=4(tan(θ))

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Q: At what point does the tangent line to the curve y=3x4 -10x+3 at x = 1 intersect the x-axis?

A: Explained below

Q: 2. Find the critical values of f(x) = x² +2 Find the open intervals on which f(x) = x¹ +8x³ is…

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Q: y-values 6 8 7 6 5 4 32 1 If f(x) = f'(1) = g(x) h(x) ' g(x) 2 3 x-values then 4 Out y-values S 4 3…

A: To find the derivative of f(x) at x=1.

Q: What happens if you take B = A in the trigonometric identitycos(A - B) = cos Acos B + sin Asin B?…

A: The given identity: cos(A - B) = cos Acos B + sin Asin B To check what happens if B = A .

Q: 23. Find the ratio of the area in which the line y = y² - 4x + 2y + 1 = 0. divides the curve x² +

A: Given :x2+y2-4x+2y+1=0y=12

Q: Find the equation of each hyperbola whose center is at the origin. Find the equation of the…

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