Solve for the general solution: -4 Oy=a³e + co Oy=x³e +cª Oye +³ e* + c³ Oy=x³ee² + c xý – 4y = co e

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A: The equation of the curve x2+y2-4=0 We have to find the point of the curve, for which slope of the…

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A: The given problem is solved below in detail.

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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 query is to find the value of the integral.

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Q: Find the arc length of y= 2x sqrt(x), from x=0 to x=1

A: Given: y=2xx We need to find the arc length of the above function from x=0 to x=1.

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A: We need to find out the limits.

Q: 1) If the angle of elevation of the sun is 63.4° when a building casts a shadow of 37.5 feet, what…

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Q: Find the curl of the vector field u = a) b) ▼xu =( V. (V x u) = = (7xyz², 6x² y³, 2x³ y³ z4 ).

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Q: Find the surface area of the part of the plane 5x + 3y + z = 2 that lies inside the cylinder x² + y²…

A: Plane: 5x+3y+z=2 Cylinder: x2+y2=4

Q: The polynomial of degree 5, P(x) has leading coefficient -2, has roots of multiplicity 2 at x = 1…

A: General form of polynomial degree 5 Px=ax5+bx4+cx3+dx2+ex+f

Q: Consider the integral 2 [²-10z² ln(z) dz If the integral is divergent, type an upper-case "D".…

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Q: Given the function f(x) 3x³ - 18x² a product of linear factors with integers. f(x) = = - 75x - 54,…

A: We have to find out

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: Integration

Q: ԱՆ JS 12x + 3y² dA R es x = y² and x = 9.

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Q: Determine which graph is the graph of f(x) if the following are true. f(0) = -5 f'(x) is positive on…

A: Topic- Functions and application of derivatives We are given f(0)=-5 f'(x) is positive on nowhere…

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Q: kite 100 ft above the ground moves horizontally at a speed of 2 ft/s. At what rate (in rad/s) is the…

A: We will find the required.

Q: Suppose that f(x) = ⁹ - 18x². (If an answer does not exist, enter DNE.) (a) Find all partition…

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Q: Find the indefinite integral. (Use C for the constant of integration.) √ 25 e2x 25+ e est dx

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Q: скоеалете 11 Tuesday # How many tangent lines to the curve y=x_q x-9 1 pass through the point (1,…

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Q: Question 15 Find constants 4 and 8 such that the function y Asinx + Bcost satisfies the differential…

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Q: 8. Δ The series Σ(-1)* =0 k! (a) Converges absolutely (c) Diverges (b) Converges conditionally

A: D'Alembert test: Let us consider a series of real numbers, ∑k=0∞uk such that uk+1uk=l Then if l&lt;1…

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A: We know, log(a/b)=log(a)-log(b) log(x)=1/x

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Q: Write a function in any form that would match the graph shown below. -10 -8 -6 Answer: f(x) = -4 -2…

A: Given query is to find the function of the graph.

Q: Use the Rational Root Theorem to determine the possible rational zeros for the function f(x) = 3x¹ +…

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Q: A piece of wire of length 53 is cut into two pieces. One piece is bent into a square and the other…

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give…

A: Given function: fx=x8/9 on the interval -8,9.

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A: A necessary condition for x to be an inflection point is f''(x)=0. A sufficient condition requires…

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Q: b. use the definition the derivative of derivative of the f(x) = 5-4x + 3x² to find

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Q: Find the maximum and minimum values of the function f(x, y) = x²y subject to 4x² + 2y² = 24 Please…

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Q: A farmer finds that if she plants 80 trees per acre, each tree will yield 45 bushels of fruit. She…

A: Use maximization concept

Q: Oct 26, 8:38:14 PM Write a function in any form that would match the graph -10 -8 -6 Answer: f(x) =…

A: We have to write the function from the given graph of the function f(x).

Q: Find the following using the table below. X f(x) f'(x) 1 2 3 4 +3+ 4 g(x) 2 g'(x) 4 1 2 -~-~ -33 1 2…

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Q: Find the limit. 7 lim (1 + 2x)2 Inx X-8 7 = lim (1+2x)2 Inx | (Type an exact answer X→∞

A: Given query is to find the Indicated limit.

Q: Problem 2. Find the following limits. (c) lim x 0 x (d) lim x48 x³ arctanr el/a - 1 1/x

A: Here is the solution:

Q: Sunday - let lim (1x) = -8 and lim glx) = -5. Find lim [-5(1x) -8960) 2-2 x > ² [ 3+ g(x) X42 Do…

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A: Please see the below picture for detailed solution.

Q: Differentiate f(x) = 8√√/5x6 + 6x¹. Simplify your answer and enter it without fractional or negative…

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A: We have to find out

Q: Find the indefinite integral. (Use C for the constant of integration.) [x² x cos 7x² dx

A: