Question 10 The function y= ax6x³ has a minimum point at (2a, f(2a)). Determine the value of a. - a = 1.5 a = -0.5 a = -1.5 a = 0.5 O None of the choices

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A: This question can be solved using the concept of speed,time and distance.

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Q: VI. Consider the conservative vector field 1. F(x, y, z) = (z cos(rz) -y sin(ry), 2y cos(ry) - ry²…

A: Solved below.

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A: Concept: Power series: To find a power series solution to specific differential equations, the power…

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A: Given problem:- Write an expression for the new function when g(x) = 3 + 8x is translated / shifted…

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Q: Q3 Calculate the value of the following integeral: dx (1) S 2x√x-1 etan ¹x 1 + x² - dx

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Q: d. e. f. 1 R, Re 1 1 + 4.5×10²2 9.4×10² (1.7×10³ J)-(3.3 × 10² J) (1.7×10³J) = - e= (1.33) sin 25.0°…

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Q: 1. Find the Inverse Laplace Transforms of the following. 4) 48-60√/s s4

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A: Concept: The reduction formula: The reduction formula is regarded as an integration method.…

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A: We can state the Divergence theorem .

Q: 7. What is the LCM of 16, 24, and 40? O15360 8 O 960 O240

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

Q: 3. I. Evaluate each determinant. -1 5 3 2 3

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A: We need to evaluate integral.

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A: The given equation is;  yzexz+42=0; (0,-7,6).

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Q: 7 x² + 3x +3dx 14 22 (277)+ Option 1 1/2 tan-¹ (2(w + 3)) + 1 √3 Option 3 None of the above ا tan +C…

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Q: Convert the Cartesian coordinate (-2,-4) to polar coordinates, 0≤ 0 0 r = Enter exact value. 0 =

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Q: 1. Be the data set according to the following table of values: On a coordinate plane, plot the data…

A: topic- exponential function

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Q: 1. Find the area bounded by the curve y = x^2  and the x-axis and the ordinates x = 0 and x = 2 2.…

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Q: √(√x³ - 2 1/2 + √²) d dax In x++²x+ }\x² +C √√(x³)x=√x + √√2x+C

A: SOLUTION-

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Q: Find the 1) Sketch the ii) Determine the ::::.) Set-up iv.) Integrate 2 ²) y = x ²²₁₂ y = 2 = x₁…

A: Given problem:- Find the area bounded by curves y=x2 , y=2-x, x≥ 0

Q: Test for convergence/divergence, State the theorems used.

A: As per guidelines, I can answer only one question. Since questions are not interlink with each…

Q: I. 7. Evaluate each determinant. -3 4 -5 2 -3 -5 1 5 3

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Q: Find the solution of the following IVP. * (yexy) dx + (xexy + sin(y))dy = 0, exy + cosy - 1 = 0 O…

A: The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The solution is: ∫Mdx⏟Take y…

Q: Find the area of the region bounded by the parabola y² = 2x − 2 and the line y = x − 5. 16 17 18 19…

A: y² = 2x -2  y = x -5  Here we have to find intersection point  x = (y² +2)/2  x = y+5  Compare both…

Q: e. 4 e2z 1+etz dz

A: topic- definite integral

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Q: Please

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Q: Convert the Cartesian coordinate (-2,-4) to polar coordinates, 0 ≤ 0 0 Enter exact value. 0 =

A: NOTE: Refresh your page if you can't see any equations. . the given point is

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A: Two vectors u and v are orthogonal if u.v =0 .

Q: 1. Find of ахду OF f(x,y) = xy (x+y-1) -x2

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A: We need to find volume.

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A: To find the derivative and equation of line tangent to the given curve.

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A: We have to find value of given Limit.

Q: The function defined by y=√√²-x² has as its graph a semicircle of radius r with center at (0,0) (as…

A: The objective is to find the volume .

Q: 16+19+22+25+...Which one of the following is the sum of the first 90 terms of this series? a)16,701…

A: Concept: Arithmetic Progression: Arithmetic Progression (AP) is a numerical series in which the…

Q: Find the area of the region enclosed by the given curves. y = 2√√√√x, y = x - 3,x=0, x=4

A: Given y=2x, y=x-3 x=0, x=4To find area of region enclosed between two curves:

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Q: Find the vertical asymptote of the following function. X - 1 f(x) = 2x + 18 X =

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