Find the cosine of the angle between the vectors (1, 1, 1) and (8, -7, 12). (Use symbolic notation and fractions where needed.) cos(0) = Incorrect 13

Q: Suppose that the marginal revenue for firefighting protective clothes is MR = 457 - 5x and the…

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Q: Sketch the graph of the following parametric equations. a. x = 4, y = sint b. x = e^t, y = e^2t, t ∈…

A: a) x=4 ,y=sint b) x=et,y=e2t ,t∈[0,∞) c)x=3sint,y=4cost ,t∈0,pi

Q: /n³ + 1 n=1 3n³ + 4n² + 2 00 EXAMPLE2 Σ Since an is an algebraic function of n, we compare the given…

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Q: Determine if the vector pair are orthogonal or not. a = 6i 18j and - b = -8i + 3j

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Q: 59. Yn n en +(-3)" 5n

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Q: Evaluate the limit: lim X-7-3 sin (x+3) 2 x² +8x+15

A: The given limit is limx→-3 sinx+3x2+8x+15

Q: Solve the following system of equations 2x + y = 1 3x + 1.5y = 1.5 Give a geometric…

A: To solve the following system of equations. 2x+y=13x+1.5y=1.5 To give a geometric interpretation of…

Q: Solve 4x cos(3x) dx using Integration by Parts. 4x 3 + sin 3x + 4 cos 3x + c

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Q: r 10 A -8 -2 -1 I 3+ 2+ 1+ -1- 2 من -4+ T? ← -5+ M I +1

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Q: (a) Verify that y=tan(x + c) is a one-parameter family of solutions of the differential equation y'…

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Q: 8) A particle that moves along a linear path has a known velocity of v(t) = 4.3 sin (2.1t), where…

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Q: Consider the series n=1 3 n+ 3 Let Sn be the n-th partial sum; that is, Sn - n 3 i=1 i + 3

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Q: Find the derivative of f(x)=x²-3x² +9 final answer with no negative efonents in

A: We know that the derivative of e^(mx) is me^(mx)

Q: Construct a problem where you have to find the inflection point that is equal to 1/2.

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Q: 10) Write an integral function that represents the velocity of an object at any time t given the…

A: The acceleration of the object at any time t is at Initial velocity is v1 To determine: An integral…

Q: In this problem, y = 1/(x² + c) is a one-parameter family of solutions of the first-order DE y' +…

A: We need to solve the given initial value problem and the interval in which it is valid.

Q: Set up an integral representing the area A of the region enclosed by the given curves. y = 5x, y =…

A: The area between the curves y=f(x) and y=g(x) from x=a to x=b is given by the integral…

Q: 23. an n √n² +1

A: We take n common from the root and then apply limit to find the vale of limit.

Q: Find the derivative of f(x) = In (3+x") with no in final answer negative exponents

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Q: How did you get from (x2+8x+15) to (x+3x+5)? How did you get from (x+3x+5) to (x+3)(x+5) for the…

A: Given Limit  limx→-3sinx+3x2+8x+15

Q: The light bracket ABC is freely hinged at A and is constrained by the fixed pin in the smooth slot…

A: To determine the value of the resistance force in this situation, the equilibrium conditions must be…

Q: Find the following for p =, q =, and r = Find 8r+ 3q Answer: ^ Submit Answer

A: p=-7, -6q=-1, -11 andr=0, 9

Q: (a) The series For the following answer blanks, decide whether the given sequence or series is…

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Q: Determine whether the three points P = (-3, 7, 1), Q = (-2,9, 4), R = (-1, 12, 7) are collinear by…

A: To determine whether the points P=-3, 7, 1, Q=-2, 9, 4, and R=-1, 12, 7 are collinear by computing…

Q: Let T denote the Nth trapezoidal approximation to 0 x³ dx.

A: Integration of x3dx limit from 0 to 1  We have to find T3  .i.e 3rd trapezoidal approximation

Q: 8. Use the standard Maclaurin series for sin(x) to find the first three non- zero terms in the…

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Q: Use the standard Maclaurin series for sin(x) and cos(x) to find the first three non-zero terms in…

A: We have, Maclaurim series for sin x and cos x

Q: Compute the dot product. (Use symbolic notation and fractions where needed.) ( ²1₁ 212 ) · ( 5₁ -1)…

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Q: For each function below, assume A and B are constants. Match each graph with one of the listed…

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Q: .1/3 Let ƒ(x) = x¹/³, and let T₁(x) be the nth Taylor polynomial of f centered at a =

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Q: The equation of the line that goes through the point (3, 8) and is parallel to the line 2x + 5y = 3…

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Q: For each function below, assume A and B are constants. Match each graph with one of the listed…

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Q: The demand function for device model PWX641 is given by p(z) = 510-0.792², where p is the unit price…

A: Given demand function  p( x ) = 510 - 0.79x2 Given data  dpdt = 6 dollarweekp = $194

Q: 1 (a - b) In (a − x) (b - x) X *)] = [K₂ t]

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Q: Consider polar curves C1: r = 3+2sine and C2: r = 8sin0 1. Find the Cartesian equation of the…

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Q: Recall the Chain Rule and how it can be applied to find the derivative of a composite function. In…

A: For each of the following functions, by using chain rule to find the  function's derivative. (i)…

Q: 6) The velocity of an object on the interval 0 ≤ t ≤ 10 is shown in the graph below. If v(t) is…

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Q: 8 2k Σ k=1 k!

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Q: Evaluate the definite integral. [° ( Z - ²3/) dx J₁ X

A: ∫16x6-9xdx

Q: Construct a related rates problem where the answer to said problem is 1.5 Please make the problem…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: III. If f\x, y = x² cosy - y. e²y, then find all the second order partial derivatives.

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Q: A particle is moving with the given data. Find the position of the particle, s(t). a(t) = 2t + 5,…

A: a(t)=2t+5, s(0)=4, v(0)=-5 Find s(t).

Q: Calculate the linear combination. 5(i +2j) - 3(2j+ k) + 7(2k − i) = (x, y, z) (Give your answers as…

A: To calculate the following linear combination. 5i+2j-32j+k+72k-i=x, y, z where,  x=?y=?z=?

Q: √2 cos 0 + √2 sin 6, find the Cartesian equation of the tangent line v Given the polar curve r = to…

A: We need to find equation of tangent line.

Q: (ii) (iii) Find the co-ordinates of the turning points of the following function: y = x³ - 6x² +5…

A: Given the equation, we need to find out the turning points of the curve and also where it has maxima…

Q: Marginal Cost A division of Ditton Industries manufactures a deluxe toaster oven. Management has…

A: we have given the marginal cost function C'x=0.0006x2-0.14x+25 Daily fixed cost is = $900

Q: Given the function f(x) = 18x + 3, determine the intervals where increasing and decreasing, and the…

A: The function  fx=-2x3-12x2-18x+3⇒f'x=-6x2-24x-18=-6x2+4x+3=-6x+3x+1⇒f''x=-12x-24=-12x+2

Q: Find the dot product of the vector pair. u = and v =

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Q: Find the unit vector ey, where v = = (4,0,7). (Give your answer using component form. Express…

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Q: əz дz Use implicit differentiation to find and Әх ду дz Әх дz ду = = II x2 - y2 + z² - 42 = 3

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