8. Solve the differential equation: y' √x 7y

Q: Consider the function on the interval (0, 2x). f(x) = 2x + 4 sin(x) (a) Find the open intervals on…

A: The given function,   fx=2x+4 sinx

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A: To find the Radius of convergence and interval of convergence of the given series.

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Q: Use logarithmic differentiation to find the derivative of y y = X X+7 OA. OB. O C. (3)√ 2 7 O D. X…

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Q: Evaluate the definite integral. 3 1₁(x-41 4|x) dx

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Q: V. Provide up to the 5th degree Taylor Polynomial of the given function: f(x)= xex by about x=-1

A: Given :fx=xe-xx=-1

Q: 1. f√√x²dx 2. Jdx 3. (2x + 3)² dx (4x²–5x+6) 4. S x² 3 5. f ( t + 1)²³ dt S dx

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Q: (b) r4 x x²-9 dx

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: defined on the interval [-5, 7]. a.) f(x) is concave down on the open b.) f(x) is concave up on the…

A: This question can be solved using the concept of point of inflection, critical point and point of…

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: Function: w = y3 - 3x2y, x = es, y = et Point: s = 2, t = 2 Find del w/del s and del w / del t using…

A: If w=f(x,y) and x=g(s) and y=h(t) then,          ∂w∂s =∂w∂x.∂x∂s+∂w∂y.∂y∂sand         ∂w∂t…

Q: 3. Suppose [ f(2)dx = 36, So r)dr the following: a. b. f f(x)dr 50 f(r)dr = 12, (2ƒ(r) + +12g(r) -…

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Q: Given the initial condition y(1) = 4, what is the particular solution of the equation y' = y (2x +…

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Q: The area of an ellipse with axes of length 2a and 2b is given by A = Tab. Approximate the percent…

A: Concept: We have given the Area A=πab Here the length a is increasing by 2% which is daa=2% Here the…

Q: (5+162²) ²- Question 16 Find the curvature of the plane curve y = 5x² +8 at x = -1. Round your…

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Q: Find the derivative of y = Select one: O a. O b. du O C. d. d = O e. (2x-5)cscrcotx-2cotx (2x-5)2…

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Q: A rectangular pen will be built along the side of a large barn. Three sides will be made of fencing,…

A: A rectangular pen will be built along the side of a large barn. Three sides will be made of fencing,…

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

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Q: x³ 3x²+5 (x-3) S - x³ - 5 In 1 x-31 + C Option 1 dx x³+5 In Ix-31+ C Option 3 x3 3 Option 2 x3 - 5…

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Q: identify the following quadric surface x^2/6 + y^2/6 + z^2/16 =1

A: This question is related to Quadric surfaces, we will solve it using given information.

Q: Function R gives the amount of rain measured by a rain gauge t hours since it started raining. The…

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Q: -2 t Evaluate √5+² dx

A: To solve the given definite integral problem.

Q: For f(x, y)= e sin(25x), evaluate fy at the point (77, 0). Of,(7,0)=50 O fy(7,0)=0 Of(7,0)=51…

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Q: Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule with n = 4. Compare…

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Q: 1.) Sand hole conical pile altitude always 1 4 of increasing when the 14 pouring from a the conical…

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Q: Question 8 The position vector r(t) = (4cos(t), 7 sin(t), 51²) describes the path of an object…

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Q: Suppose the following: [ f(x)dx = 36, "f(x)dx = 12, f" f(x)dx = 12, [²9(x)dx = 24, and h(x): =…

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Q: The mess in a house can be measured by M(t). Assume that at M(0) : = 0, the house starts out clean.…

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Q: A rate of change of H is given by Solve for k where H > -25. O 0.458 O 0.346 0.255 O 0.144 dH = k…

A: topic- differential equation

Q: Utilice la regla del producto para derivar y = (2x² + 2x + 1) (3x - 4) Llene los blancos (sombreados…

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Q: Find the volume of a sphere pyramid of height "h" and base edge of length "a"

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Q: e −1 -1 lim (−1) t⇒0 t

A: Use limit expansion

Q: Let f(x, y) be a function with continuous second partial derivatives. Suppose we know that (-1, 2)…

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Q: (e) Evaluate S 1+7x dx.

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Q: Evaluate fetanx sec² x dx

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Q: Find each of the following for f(x) = 6x² - 6x +6. (A) f(x+h) (B) f(x+h)-f(x) (C) f(x+h)-f(x) h

A: In this question we have to find the following given parts in the question.

Q: Find the double integral that will compute for the area of the region bounded by x = y² and x = 4.

A: The given curves are; x=y2 and x=4 So, the bounded region is as shown below.   As we know that;…

Q: O IT 3 tan'z sec z dx

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

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Q: onsider the following. w=x^2/y ,  x=t^2 ,  y=t+1 ,  t=3 (a) Find d2w/dt2 using the appropriate…

A: Given :w=x2yx=t2  y=t+1t=3

Q: Discuss the continuity of the function. sin(z) ex + ey f(x, y, z) = continuous except at (0, 0, 0)…

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Q: Find the radius of convergence, R, of the series. Σ n = 0 R (-1)^_x³n (2n)! Find the interval, I, of…

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Q: S Construct a table and find the indicated limit. x³ + 343 x+7 lim X→-7 x³ +343 X+7 lim X→-7 =

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Q: Given cos(x)- 글 " what is the value of cos(x +)? 0 O via - IN I 12

A: Given that cosx=12. We have to find the value of cosx+π.

Q: √5-x² LIL -√5 Jo 0 5 I² +2² (x+y) dy dz da

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Q: 5. Solve for x² − x+6 x³ + 3x 1³ dx.

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