16 Find Ehe eract length of Ene eurve, /2 x= e- 4E, y= Re O<6< 2

Q: Use the matrix capabilities of a graphing utility to find the inverse of the matrix (if it exists).…

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Q: 1. Find the particular solution using the Initial condition. xy'-y x.y(1) 7. Finally, sketch a slope…

A: Follow the procedure given below.

Q: Calculate the following derivative if h(w) = Vwe3w. (Use symbolic notation and fractions where…

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Q: quation and reduction to linear ec

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Q: Find the area of the region bounded by: r = 5 – 3 sin 0

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Q: Find the sum A+B+C of the constants A,B and C appearing in the Taylor series expansion given below:…

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Q: Compute f(5) (e) forthe function f(x) = x³.In(x+)

A: f(x)=x3.ln(x4)f(x)=4x3ln(x)Differentiatef'(x)=4x2+3x2ln(x)f'(x)=4x2+12x2ln(x)Differentiatef''(x)=8x+…

Q: If possible, find AB. (If not possible, enter IMPOSSIBLE.) 0 1 0 B = 3 1 A = -5 5 0 4 2 1 8 6 -1 7…

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Q: y varies inversely as the fourth root of x and when x = 81, y = 10. What would be y when x=47. Round…

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Q: If y = f(g(h(x))), then the derivative y/ is given by which formula? a) None of these Ob) f'(g(h(x))…

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Q: The function, that is O everywhere except at t=0, is know as: None of these O Unit step O Delta O…

A: topic - functions

Q: Select the conic section represented by the equation. x 2 - 5y 2 + 6 = 0

A: Follow the procedure given below.

Q: 12 f(x) dx = | f(x) dx = f(x) dx where a = Σ and b = Σ

A: Use additive property of integral to simplified the integral.

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A: Solving

Q: Find the equation of the tangent to the curve x2 = y²x + 2 at (-1, 1). Use graphing software to find…

A: To find the equation of tangent at the given point

Q: Consider the function f(x) x* + x + 1, where E 1, 2. The %3D domain of the inverse function f x) is…

A: Swap the domain and range of original function to get domain and range of inverse of that function.…

Q: Determine an expression, in simplified form, for the slope of the secant PQ with P(1, 2) and Q(1 +…

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Q: (а) у"— (а + В)y' + аBy %3D 0 (а + B)

A: Answer as follows

Q: 5. f(x) = x(12.x + 8) 7. f(x) = 7x²/5+ 8x-4/5 %3D

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Q: dx 4. S x2Vx2-1 e Cos-1x 5. S 6. Se sin(In x) dx V1-x2

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Q: Match the vector field with its graph. F(x, y) = yi 5 -5+ 5 5 -5+

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Q: 5 1 dx 0* +5

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Q: Jan paid Php 9,250 on a loan made 6 months before at 12% simple interest. Find the interest…

A: Amount Paid after 6 months= 9250 rate of interest=12%=0.12 Recall: Amount after time t years…

Q: Is the following statement true or false? If f(x) > 0 and g(x) > 0 and f (x) > g(x) on [a, b], then…

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Q: 1. Find the area bounded by the graphs of y = 6 + x, y = x', and y breaking the region into two…

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Q: Use the nth-term test for divergence to show that the series is divergent, or state that the test is…

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Q: Set up the definite integral required to find the area of the region between the graph of y 20-z and…

A: Set up the integral

Q: Let C1 be the curve with parametric equations x = cos t, y = sint – t, where t e [0, ). (a) Find the…

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Q: In x Sketch function f(x)= by finding all asymptotes, turning points, points of inflection and end…

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Q: Match the vector field with its graph. F(x, y) = yi 5 -5+ 5 5 5 -5+

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Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (3t + 4)i + tj, 0 <t<1

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Q: Determine wheather the Following g eometric series are convergent or divergent, If they are…

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Q: Express the repeating decimal as the ratio of two integers. 0.3 = 0.3333. The ratio of two integers…

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Q: Question Given f(x) dx = -9 and f(x) dx = -8- compute the following integral. 8f(x) dx Provide your…

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Q: 2. a) Determine the coordinates of all point(s) on the graph of y = 2x In x where the tangent line…

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Q: Find the area of the shaded region. The image is not to scale. y = F y=- Consider c=64. Enter the…

A: If f(x) and g(x) are continuous on [a, b] and g(x) &lt; f(x) for all x in [a, b] then the area…

Q: #5) Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) a. -5…

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Q: Find the area of the region under the graph of the following function. f(x) = 5xe−x from x = 5 to x…

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Q: Let i = and v =. If ü xi = then determine the value of 3A+B+C.

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Q: 1. Determine the type and stability of the critical points of the homogeneous systems: dx (a) = x –…

A: we have to check stability of critical points

Q: If C denotes the curve parametrized by x = t, y = 2t2, z=t°, 0 <t < 1, then fx dz +y dy + z dx C O…

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Q: e slope of the surface z = int (2. 3) is xy² in the x-direction at the and the slope of this surface…

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Q: Find the divergence of the field. F = (2x+7y-8z)i + (5x +3y+6z)j + (-6x-y+2z)H div F =

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Q: Let f(x) = (3x2 + 10x + 4)/(6 - 5x2). The horizontal asymptote is given by y = ? Round your answer…

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Q: Consider the curve C with parametric equations Ja(t) = t° – 3t +1 lu(t) = t(t +1) defined for t e R.…

A: Given

Q: D(X) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: Let ü = and v =. If ü xö = then determine the value of 3A+B+C. Answer: Finish attempt..

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Q: Determine the conjugate radical of the expression -8+35. O-8 -35 O NE + 35

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Q: 4. (x² – 4)dx c2

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Q: Set up the definite integral required to find the area of the region between the graph of y= z-12…

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