Given parameters x = cos³0 y = sin³0 Formula used sin²0 + cos²0 = 1

Q: Solve the initial value problem: y'-4y = 0 y (2) = 10

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Q: Find the general solution of the differential equation: y'-4y = xy³. Use lower case c for the…

A: Given Differential Equation

Q: 2 b.) f/dx x2 ول

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Q: How does one go about solving this? I could use some help please. 4 5 Assume s = 0 corresponds to…

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Q: {dn} = SA { (. (₁₁²³²7) - (₁~^²+₁ ) ) ²^ } - (ⓇP) :)

A: The given sequence is defined by the formuladn=15((1+52)n−(1−52)n) We can find the first five terms…

Q: Use the continuity of the absolute value function ​(x is continuous for all values of​ x) to…

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Q: 1. A segment of a circle is defined as a region bounded by a minor arc and the chord of the arc.…

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Q: dr Let A be the area of a circle with radius r. If dt = 2, find dA dt when r = 4.

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Q: Find the centroid (x, y) of the region bounded by y = 8x² + 8x, y = 0, x = 0, and x = 4.

A: The region R is bounded by the curves y=8x2+8x,y=0 (the x-axis), x=0 (the y axis), and x=4.

Q: Use a finite sum to estimate the average value of the function on the given interval by partitioning…

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Q: Write a polar equation for the graph below. Enter theta for if needed. 4 3 2 1 -4 -3 -2 -1 r(0) = |…

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Q: Determine all critical points for the following function. f(x)=2x(4-x)³ X= (Use a comma to separate…

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Q: A: The plane Ax - By + Cz - 1 = 0 pass through non collinear points (1,1,0), (2,0,-1) and (2.9,2).…

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Q: Find the most general Function I such that F"(x)=√=== -7√√√ x² ง

A: given

Q: 1) Find the length of the curve? X = y 3 + 4y from y = 1 to y = 3

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Q: The linear approximation at x = 0 to and where B is: 1 - X is A + Bx where A is:

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Q: Lrds x dy + y dx, where C is the arc of the curve с y = e for 0 ≤ x ≤ 6 Find

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Q: Find the first-order partial derivatives of: z = 40x2 + 29x²y2 + 6y² дz дz ( А. = 80 + 58y²; = 58y +…

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Q: Range: 3 period -5 CER The reciprocal function doesn't have x-intercepts Vertical asymptote: x=0 The…

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Q: Using the Law of Sines to solve the triangle if ZA = 43°, ZC = 70°, b = 11: LB is degrees; a= You…

A: By using the Law of Sines to solve the following triangle.

Q: Find all solutions to the equation. 2 cos 0 + √2=0 Write your answer in radians in terms of л, and…

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Q: 14. Given the function f(x) graphed here. a. Evaluate f(0) b. Solve f(x) = 2 74 6- N

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Q: 7 Find the solution to the IVP: y'+1y = xyż where y(0) = 1. Use lower case c for the constant in…

A: given differential equation

Q: Q9.7 Look at the directional fields of phase planes below. Draw a line to match each phase plane t…

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Q: Find the inverse Laplace transform f(t) = L-¹ {F(s)} of the function F(s) = f(t) = L-1 { 6 s² +9 2s…

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Q: a. Find the Laplace transform F(s) = L {f(t)} of the function f(t) = t - 7t + 5, defined on the…

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Q: Find the number of units that must be produced and sold in order to yield the maximum profit, given…

A: Profit is the difference of revenue obtained and cost incurred.

Q: the derivative for f(x) = (x3 +16)8 find what it is

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Q: Given: (x is number of items) Demand function: d(x) = 4800 √x Supply function: s(x) = 3√x Find the…

A: Given: ( x is number of items)Demand function: d(x)=4800x.Supply function: s(x)=3x

Q: x³-125 3. Identify any removable and any non-removable discontinuities of the function f(x) = x²-25'…

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Q: (x² + y²)dx-xydy = 0

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Q: 12 ► 13 A river flows at 2 m/s. Juan's boat can travel twice as fast down the river as it can go up…

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: 6. The coordinates of a particle moving in the metric xy-plane are differentiable functions of time…

A: We need to find the rate of particle moving away from the origin.

Q: Find the area of the shaded region. 6 4. 2- -2- -4- -6- y=x-1 2 3 v=x²-4x+3 2 4 5 to 6 X

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Q: (1 point) Consider the direction field below for a differential equation. Use the graph to find the…

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Q: into polar equation r = f(0) T = 4√ 16 - 15 cos² (0) - 15 cos² (0) 15- X x² + 16y² = 16

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Q: Evaluate the sum 8 Σk(2k +3) = k=1 Σκ(2k + 3). k = 1 (Simplify your answer.)

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Q: Evaluate Lyds, yds, C : x = t², y=t, −2≤t≤5

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Q: 19. f(x) = ln(2 + x) in powers of x - 2

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Q: Evaluate xy³dx + x³dy, where C is the rectangle C with vertices (0,0), (1,0), (1,5), and (0,5)

A: We have to evaluate the integral.

Q: Use integration by parts to evaluate the integral: 3.75m 5r cos(3r)dr = 0.5п C

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Q: Use implicit differentiation to find the equation of the tangent line to the curve xy³ + xy = 12 at…

A: Given query is to find the equation of the tangent line.

Q: QUESTION 8 Find the partial derivative. Let z = f(x,y) = 8x² - 12xy + 4y3. Find - O 16x +12y2…

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Q: 24 Find the inverse Laplace transform f(t) = L-¹ {F(s)} of the function F(s) = 54 24 f(1) = L-¹ {…

A: Given data

Q: Question 2. Find the global maximum and global minimum of the function f(x) = x²e³ on the ellipse x²…

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Q: The equation D(x) 208(1.257)* represents the annual number of debit card transactions in Canada,…

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Q: n=1 2" 5 +10

A: The given series is .The objective is to find the convergence of the given series.

Q: Find domain and range f(x)=x^2-5x+6/x-2

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Q: Sand is pouring out of a pipe at a rate of 90 cubic feet per hour. and is forming a conical pile on…

A: Sand is pouring out of a pipe at a rate of 90 cubic feet per hour andis forming a conical pile on…

Q: 1₁ 4 tan x sec x dx I

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