9. Find the family of the curve whose slope at any point is V√x + √x and also the member which passes through the point (0, 2)

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A: This is a problem of finding equation of the circle of curvature. Based on the general formula and…

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Q: 4. Evaluate the following limits. a. lim X→→→+** 2x 3x² b. lim c. lim -3/x X In5 x x²

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Q: Evaluate the following limits. a. limx→+ 2x 3x²

A: This question is based on limits.

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Q: 5. Find the general equation of the circle of curvature of the parametric equation X= ;y=+√6(t+1);…

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Q: The function fis defined as f(x) = -7 3x²+2 Find f(x-5). Write your answer without parentheses, and…

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Q: Let f(x) = 3x + 8, x₁ = 1, X₂ = 4₁ x3 = 7, x4 = 10, and Ax= 3. 4 (a) Find Σ f(x;) Δx. i=1 (b) The…

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Q: 1. Evaluate the given integral Q. ² = £ Q L² L² (²x - 3) (x - y) dx dy

A: Let I=∫01∫y2yx-ydxdyI=∫01I2dyHere we…

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Q: y' = X 2 h

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Q: (a) From Standard Form to Slope-intercept Form and Vice Versa (b) From Standard to Intercept Form…

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Q: 1. A man is standing on a horizontal ground 30 ft away from a hot air balloon. After a moment, the…

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Q: Given cost and price (demand) functions C(q) = 150q+46,400 and p(q) = -2.4q+880, if the company sets…

A: Given that cost and price (demand) function C(q)=150q+46,400 and p(q)=-2.4q+880.Also, if the company…

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A: The solution is given in the next step.

Q: 6 cos3x cos4x dx

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Q: Determine el valor de a € tal que: 80 ex e2x + 1 58⁰ a -dx = R+

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Q: 3. Find the equation of the tangent to y = 1-x² 3x+7 at the point where x = 1.

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Q: 3) (2) 2 3 元16 2 " 11元 6 57元 6 3 2

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Q: ) Find dw if w = xe³/², x = t², y = 1 — t, and z = dt 1 + 2t.

A: Topic:- application of derivatives

Q: б хрх ] Ґ

A:

Q: 1. Evaluate the given integral Q. J[(y - 2x) dA, R where is the region bounded by x = 0, y = x, x =…

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Q: Find all the second-order partial derivatives of the following function. f(x,y) = x³y²-x² + y² 2 ax…

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Q: Solve the following problems showing detailed solutions. Draw the complete figures for each…

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Q: II. Evaluate each of the following limits. -√3-x 4) lim x-2 2 4-x 5) limSin (²) 6) lim(4x + 1)² x-0

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Q: 1 1-x Use the geometric series f(x)= = Σx, for |x|<1, to find the power series representation for…

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Q: 2. Using Linear Approximation, evaluate √81.4305 using the given function and initial valu below.…

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Q: Find the length of the are of the function x² = 4y from x = -3 to x = 3.

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Q: 3. f(x)= x² + 3

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Q: Find the slope and the rate of change of the slope with respect to x when x = 2 cos (3t) - 3 sin(2t)…

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Q: 5) Find the volume of the parallelepiped defined by vectors u = [1, -3, 6], v[-2, 5, 6] & w = [1, 2,…

A: Calculating the volume of parallelepiped

Q: Find the critical points and sketch the graph of the function. 1. f(x) = √5 + x 2. f(x)=x²-3x³ + 3x²…

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Q: whose equation is y³ + 2xy + x² = 9 Using techniques we have learned in our course, perform the…

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

Q: Solve the boundary value problem y" + 4y' + 13y = 0 y(0) = 0 y'(pi/2) = 0

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Q: 2-201 0 1 1 1 103 A = 0 1 -1 3 0 1 1 1 1 1 1 Which is the element A3,2?

A: To find the element A3,2  of the given matrix A.

Q: 3√3 dx √3 x² √√x²+9

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Q: Determine whether the following statements are True or False? y = f(x) 2 X (a) lim f(x) = 1 (b) lim…

A: Diagram is given. Determine whether the following statements are true or false