3. Determine all the roots (real or complex) of the polynomial p(x) = 2x4+13x³+27x2+13x-15.

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Q: a triple Integial for the solid CAclosed by X=y?+q? and xal6 Write

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Q: Use the Root Test to determine if the series converges or diverges In n n 9n-10 n-1

A: We can solve this as follows:

Q: Find the gradient of the function at the given point. g(x, y) = 12xe/x, (14, 0) Vg(14, 0) = %3D

A: gradient g(x,y)=(dg/dx)2+(dg/dy)2 dg/dx = 12ey/x + 12xey/xylnx dg/dy = 12ey/x (dg/dx)(14,0) = 12 +…

Q: Evaluate the integral. (Definite Integrals 6 r dr 15) V16+ 3r2

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Q: In a certain environment, a colony of bacteria grows according to the model A = A0e^0.06t, where A…

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Q: Siven f(x, y) = 4e3" sin(3y) hen Vf(0,5) = 2 Question Help: DVideo MMessage instructor Add Work…

A: Given query is to find indicated derivative

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A: Given: limx→∞lnx4x3   As we know that; The Power law: ddxxn=nxn-1 And From the property of the…

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Q: Find a polar equation for x? + y² = 2

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Q: z = 3 - t , z = 6 – 4t parallel.

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Q: Solve the differential equation. dy 3 2x – 0, y = 3 when æ = 1 dæ Using x^2 for r?. O y=x^2+x^{-3}+1…

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Q: Find the vector component of v = 2i – j+ 3k along b = i+ 4j + 8k and the vector component of v…

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Q: x2 1. Let f(x) = 3Vx² – 1 and g(x) = x4 81 (a) Determine the domain of f and g. (b) Compute gof and…

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Q: 41. Find a formula for the function S(x, y, z) of three variables that gives the average of three…

A: We have to find the formula for function S(x, y, z).

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: f(t) = -16t2 +385t +8 avg height from t = 5 to9.7 second f(9.7) =-16(9.7)2 +385(9.7) +8…

Q: What is the slope of the tangent line to the curve y=v(x-2) at the point (6,2)? 1/2 (E) None of the…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 10. * -1 x CSc

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Q: Find the directional derivative of the function at P in the direction of v. h(x, у, z) %3D хуz, Р(3,…

A: Given

Q: Graph the solution set of the system of inequalities. + y?s9 X22 y20 y 10 1아 1아 1아 -10 -5 10 -10 -5…

A: This question can be solved by applying the concepts of drawing the graphs of inequations.

Q: Write the first five terms of a geometric sequence a} based on the given information about the…

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Q: b) How many bit (or binary) sequences are there of length six with a 1 as the first digit?

A: A bit string is list if 0s and 1s For each of our 6 bits we have 2 choices 0 and 1

Q: Which of the following definite integrals are equal to lim 5k `sin –1+ ? n00 k=1 n n I. sin æda II.…

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Q: A particle is moving with acceleration a(t)= 18t+4 its position at time t= 0 is s(0) = 5 and its…

A: Given query is to find the position of the partical at t = 4.

Q: 3 Assume that sin (x) = and sin (y) = -, where < y < 2x. Calculate the indicated function value. <x…

A: We can find sin(x-y) as below.

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 sts 1. (y - x) dx +…

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Q: Prove from the precise definition of a limit: lim x = 4 x-2

A: We have to solve the limit using definition.

Q: Solve the inequality and graph the solution on the real number line. x² <4 (-2, 2) + -4 -3 -2 -5 -1…

A: Simplify the inequality and choose the correct answer .

Q: 4. Find y' * 2 (x – y)² = sin x + sin y

A:

Q: v = 8i – 5j – 4k - w = -5i + 9j – 4k Compute the dot product v w.

A: The formula for dot product of two vector a→=a1i^+a2j^+a3k^ and b→=b1i^+b2j^+b3k^ is given by the…

Q: Simplify (x) and find any vertical asymptotes. x²_ 4 f (x)= x+ 2

A: Vertical asymptote of the rational function f(x)=p(x)q(x)is given  q(x)=0

Q: Please

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Q: 6) dx

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Q: Find the location at t = 3 of a particle whose path satisfies - (1- dr 7 14t 2t – 4 dt (t + 1)² r(0)…

A: To find the location at t=3 of a particular whose path satisfies.

Q: Let i = (6, – 6, 1) and v = (– 5, 5, – 6). %3D Compute the following: i · i = i. i = - 6(ü - i) = (–…

A: To evaluate the given dot product of vectors u and v.

Q: Find the speed over the path r(t) = (sin(3t), cos(6t), cos(3t)) at t = (Use symbolic notation and…

A: The path r(t)=sin(3t),cos(6t),cos(3t) at t=π2

Q: xx+x dx

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Q: Qi Find the adjointof A 2. A= 2

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Q: Find the particular solution of the differential equation as determined by the initial condition. dB…

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Q: If a ball is thrown vertically upward with a velocity of 80 ft/s. then its height after t seconds is…

A: We have to use simple derivative of the function to solve the problem

Q: Differentiate y = e^(10 (x) + x^5) the x in () is meant to be the square root of x the question…

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Q: For vectors i : onto v. and w = calculate the scalar projection of w %3D comp;w (Give an answer…

A: scalar projection of w on v is =v.w|v||w|compvw¯=…

Q: 7. * In [In (In æ)]

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Q: Evaluate the definite integral. (Use symbolic notation and fractions where needed.) 12 dt 3t +4

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Q: Find the derivative of the function. g(t) = e-2/t g'(t) = Need Help? Read It O Show My Work…

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Q: Jse Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

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Q: Sa413 - 3x5/2) dx x4/3, 5)

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Q: State as TRUE or FALSE. d) 143 = -40 (mod 5) e) –4 = 788 (mod 3)

A: a≡b(mod n) means a-b is divisible by n