1. The complex numbers s and t ar as follows: s = 3+i, t= 2 – 3i Calculate the following. a) st +5 b) s + t|

Q: 5. f(x) = (3x² + x)e5x² %3D

A: Explanation of the answer is as follows

Q: 1 In AFDE, d= 4 ft, e = 5.5 ft, mZF = 24°. Find the area of the triangle and round to the nearest…

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Q: dy (1- y)

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Q: 1 dx X +x13

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 00 1 3n3 n…

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Q: Answer the following questions for the function f(x) = x/x? + 1 defined on the interval – 5 <x < 7.…

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Q: Use Lagrange multipliers to find the point on the plane x – 2y+ 3z = 6 that is closest to the point…

A: Let, the point be (x,y,z) then the distance between (x,y,z) &amp; (0,1,4) is:…

Q: Find the second and third derivative of the function (a) f(x) = x6 – 3.x5 – 41x – 73 - |

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Q: 5 2 dr = dr- 0 (x²+9)½ /(6+zx) 0, 's (x²+9)½ * A) True B False

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Q: Find f'(2).

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Q: Use a truth table to determine whether the two statements are equivalent. (p v q) a r and p v (q A…

A: Here we have to find the truth table.

Q: 7 For AABC, you are given m2C = 39°, mZB = 44°, a = 30ст. Find c. 17.9 cm 16 cm 19 cm 22 сm Previous

A: We will find the c.

Q: The equation of the ellipse that has its center at the origin with focus at (0, 4) and vertex at (0,…

A: The ellipse has its center at the origin with focus at 0,4 and vertex at 0,7

Q: sin $ 3 y cos*3 ydy

A: We have to solve above integral

Q: The equation in slope-intercept form for a line passing through the point (- 3, 2) that is parallel…

A: Topic = Coordinate geometry Correct option = A

Q: petdo eidj to noitom paidi b noit t no eog edt bnt Use the limit process to find the area of the…

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Q: The value x = a is a critical number for f (x). Classify a as a local maximum, cal minimum or…

A: Given f(x) = x^3 -12x^2 Also given x=8 is critical point  now we have check at x=8 has maxima or…

Q: 16. Given: [ S(x)dx=10; s(=)d& x = ? (x)dx= 3;

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Q: Write the given decimal as an infinite series, then find the sum of the series, and finally, use the…

A: The sum of the infinite geometric series with first term a and common ratio r is given by…

Q: 2. Find y ify=xIn (axt1)

A: We will find the derivative.

Q: Find the first derivative with respect to the domain variable for the following functions. 4. f(x) =…

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Q: Find the standard form of the equation of the hyperbola with the given characteristics vertices: (-…

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Q: Determine if each series converges or diverges. Justify your reasoning. 1 A. - k k=1 k2 k+ln k ak…

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Q: Find the limit, If it exists. x- 1 lim X---

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Q: V3x - 2 lim tan- %3D x + V3

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Q: The average value of f f(x)dr if c =

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Q: Consider the system of differential equation x' = 5x – 3y - y' = 9x + 9y Write the system in matrix…

A: To find the matrix A.

Q: d²y Q2: find of the following statement dx2 a) y = xcosnx b) y = In x3 + ex + cot x

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Q: 10. Find the area bounded by 2. Hhe curves y=8x-x²0ind y=3x

A: topic - area bounded by curves

Q: alculate the Laplace transform of each of the followir a. 7t b. e' sin(t) c. u(t - 3)e2

A: We can  solve 2 problems only.

Q: Find the angle between vector [2, −5,7] and the x-axi

A: topic- angle between vector and x axis

Q: 2n+3 {a,} = 7n- 2 7n+4)

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Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

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Q: 2. If y = find the differential dy. Hence, estimate the value of 1 + (1.023 1 +

A: topic- differentials

Q: Determine if the given series is absolutely convergent, conditionally convergent, or divergent. Show…

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Q: 4) Find all values in the interval [-2z,27]at which the graph of fhas a horizontal tangent line.…

A: -2pi = -6.2832 2pi = 6.2832 we can see from the graph 5 values satisfies horizontal tangent, we can…

Q: Determine using the giveti graph if the function f is contimuous on the following intervals: EXAMPLE…

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Q: Find the derivative of: 3 sin (– 3x). Hint: sin (x) = [sin(x)]"...so use the chain rule (twice!).

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Q: 3. Find the binomial series for (1+x)3 4. Use the result in problem 3 to give a power series…

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Q: Find div F and curl F if F(x, y, z) = xªi – 2j + yzk. div F= curl F=

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Q: Determine the vector field of F. F(x, y) = yi – xj

A: Given:     F(x,y) = yi - xj.          ---------(i) We have to determine the vector field of equation…

Q: 7 Determine the intgral

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Q: Find curl (4z i + 5x j+ 3y k).

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Q: Find the differential dy and evaluate dy for the given values of x and d.x y = Vx2 + 24, x = 1, dx =…

A: First differentiate with respect to x then find value at x=1 and dx=-0.1

Q: NOTE: Enter your answer in terms of i, j, and k. r(11):

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Q: x²+1 Find J+3x+1 11.

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Q: 1. sin 0 =

A: answer is in next step

Q: Convert the following parametric curve into Cartesian form: * = 3 sin t, y = 4 sin t None of these.…

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Q: Use the chain rule to find the derivative of 3(– 82° – 2=")" - You do not need to expand out your…

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Q: 23. Find two numbers whose sum is 10 and the sum of their squares is a minimum.

A: Let the two numbers be  x and yx+y=10⇒y=10-xx2+y2=SS=x2+10-x2   =x2+x2-20x+100   =2x2-20x+100