r = 4 cos 30

Q: Find the derivative of the function. f(u) = u7e−u

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Q: dx dy 2 Select one: True False

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Q: Find the total mass of the wire with density p whose shape is modeled by r. r(t) = t'i + 2tj + tk,…

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Q: 4x+10 J (x-2)(x²-2x+1)

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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: -1 10 05 -2 3 2 1 -2-6 5 2 4 4 0 -2 2 1. Let A= and C = Let a = 4 and 3 =. Compute the following:…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

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Q: a+sinx If the function f(x) is continuous at x-0, then a = 2+2acosx x<0

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Q: MyCalStateLA x Activity 10.6 x O Exploring Dir x+ Ohttps://calstatela.instruct... Let f(x, y, z) at…

A: Given query is to find direction derivative.

Q: x-2ax+a If lim exists, then a = 1-x a -1 b 1

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Q: Find a plane through the points (-5,-1,5), (2,4,7), (7,5,-6)

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Q: For what value of k does the equation kx2 -4x + k = 0 has two equal real roots?

A: Given, kx²-4x+k=0 a=k b=-4 c=k

Q: Write the form of the partial fraction decomposition of the rational expression. Do not solve for…

A: Reducing to partial fractions

Q: Find parametric equations of the line through (–3, 0, 3) that is parallel to 5i – 8j+ k. x(t) y(t)…

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Q: In the following exercises, suppose →1 as n→>∞. Find the radius of a, that convergence for each…

A: We have to find the radius of convergence.

Q: Kindly write the step by step solution. Two particles, A and Bare in motion in the xy-plane.…

A: Two particles,A and Bare in motion in the xy-plane.Their coordinates at each instant of time t…

Q: Type the correct answer in the box. Use numer. What value of x satisfies this equation? log,6r – 8)…

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Q: 164 24 7. 8. 88

A: Given

Q: sin t 11) dt (5 + cos t)6 A) (5 + cos 5 + C B) (5 + cos t)5 +C 1 7(5 + cos t)7 D) 5(5 + cos + C

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Q: Evaluate the limit below. - 2x2 + 13x – 21 lim x→3 х — 3 -

A: limx→3-2x2+13x-21x-3apply L hospital rulelimx→3-2(2)x+131limx→3-4x+13

Q: Question 1 Consider the following IVP: x" - 4x' + 4x 4e2, x(0) = -1, x'(0) = -4 Find the general…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the gradient of the function at the given point. f(x, y) = 5x + 2y2 + 4, (4, 2) %3D Vf(4, 2) =

A: If f is a function of x and y then gradient of f is given by ∇f=∂f∂xi^+∂f∂yj^So, ∇fa,b is given by…

Q: A Finding Horizontal Asymptotes In Exercises 89-94, use a graphing utility to graph the function and…

A: Given query is to find the graph of the function and horizontal asymptote.

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

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Q: Arctan'ax dx= b Arctan"3x +C , what is b? 1+9x²

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Q: The function 7) = x-21 at x-2 has X-2 a a removable discontinuity b. ajump discontinuity an infinite…

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Q: 4. How many fixed points does the function T(x) = tan(x) have? %3D

A: for fixed point f(x) = x x = tan(x)

Q: Σ E n=2 n·ln(n)

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Q: 86 10. 24 abe 2:4:3 9.

A: Answer 9 but given information in question 10 is incorrect

Q: Determine the magnitude of the complex number, X. x-(8e(4ery

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Q: 1. Given: 7- 4r S(x) (z+2)² ' with f'(x) = (z + 8)(z= 2) and f"(z) = 8(7x – 4) (x+2)³ (z+ 2)* * e.…

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Q: Use Lagrange multipliers to find a vector in 3-space whose length is 4/3 and whose components have…

A: use lagrange multipliers to find a vector in 3-space whose length is 43 and whose components have…

Q: QUESTION 6 Use trial-and-error to determine the smallest integer n for which the given statement is…

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Q: Find the gradient of the function at the given point. f(x, y) = 5x + 2y2 + 4, (4, 2) Vf(4, 2) = %3D

A: To find the gradient of the function at the given point.fx, y=5x+2y2+4, 4, 2∇f4, 2=?

Q: Select the correct graph for the following rational function. 11 f(x) = X-8

A: Given,  f(x)= 11/(x-8)

Q: 6) dx

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Q: 2+1 3+x+1 The horizontal asymptote(s) of /) = is/are a x-1/3 b y1/3 C X1/3 and -1/3 d y1/3 and y 1/3

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Q: Exercise To Try 13 Verify that the function f() = 2a2 – 3x + 1 satisfies the hypotheses of the Mean…

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Q: x = xyln (y) – y² xy ln (x) – a² dy dx Option 3 O None of the choices dy dy dx dx x2 Option 2 Option…

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Q: Evaluate the sum. 7 3 ) Σ 2-3 k = 1

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Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) =…

A: Average Cost = C(x)x. Marginal Cost = C'(x)

Q: B 11 a.) Find LA 17 A 18

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Q: 5. The rate at which the total monthly profit is changing is given by P'(t) where t is number of…

A: The solution is given below.

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: dx Ifz = x + y = -2, dt dy = 3, and z> 0, find dt dz at (x, y) = (4, 0). dt Please give an exact…

A: We know that derivatives power rule is  d(xn)/dx = nxn-1 Here i attached the solution of this…

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

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Q: This question has three parts. Answer each part correctly to get the next part. We will find a…

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Q: x2 8. 36 y2 3D1 4 ニ 「て

A: This question can be solved using the concepts of standard equation of hyperbola.

Q: Assume s is an angle with sin (s) = . t is an angle with cos (1) = and both angles are between 0 and…

A: We have to find the given trigonometric quantity.

Q: 4. The measurement of a side of a square is found to be 16 in. The possible error in measuring the…

A: We have to find the error in the area.