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Q: Find the cross product a x b. a = (2, 5, 0), b = (1, 0, 3) Verify that it is orthogonal to both a…

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Q: Question 2.1. Let w₁ = 1 - i and w₂ = 2 + 3i. Find the imaginary part of (W₁² O O O O 0 -14i 14i -14…

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Q: Let 7 be the plane given by 3x + y + 2z = 6. (a) Let be given by x = 2+1, y = 3t, z = t. Does…

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Q: Evaluate the double integral 8ay dA, where D is the triangular region with vertices D (0, 0), (1,…

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Q: Find an equation for the graph sketched below fo IN -) 4 my m

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Q: A company's marginal cost function is mc(x) = = 8 where is the number of units. Find the total cost…

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Q: Use the divergence theorem to calculate the surface integral "// F = |r|r, where r = xi + yj + zk, S…

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Q: use the vectors u= and v= to find the indicated quantity 3u * v= State whether the result is a…

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Q: Suppose the volume of the solid obtained by rotating the region bounded by f(x) and g(x) is given…

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Q: n=2 1 In n

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Q: Can you help me answer number 25 with complete solution, thank you so much

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Q: + V -3 -4 -6- -7 The graph above shows the base of an object. Compute the exact value of the volume…

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Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: The acceleration of a particle is a→t=<5t, 3 sint, cos3t>. The initial conditions, v→0=<0,…

Q: Write an equation for the function graphed below y TY 9

A: Vertical asymptotes at x=4 and x=-2 so in denominator we have function like  (x+2)(x-4)

Q: Find the reference angle 0' for the given angle 0. 0 = 312°

A: The angle is given by θ = 312° For this angle terminal side is in fourth quadrant. To determine: The…

Q: M8

A: Use the Ratio test

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = (1, 5, 2), b = (-1,…

A: a=1,5,2b=-1,1,4c=5,1,3

Q: In Exercises 23-30, find an equation of the tangent line to the graph of f at the indicated point.…

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Q: The slope of the 8.3 kN force F is specified as shown in the figure. Express F as a vector in terms…

A: Graph

Q: Approximate the area under the curve graphed below from x=3 to x = 7 using a Left Endpoint…

A: a=3b=7n=4

Q: Determine if the series converges or diverges. If the series converges, find its sum,

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Q: Determine the speed along a parameterized path c(t) = (7 sin¯¹(t), 8 tan¯¹(t)) at time t = 0 (assume…

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Q: Find an equation of the plane. the plane through the points (4, 1, 4), (5, -8, 6), and (-4, -5, 1)

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Q: (a) Find the derivative of f (x) = (x² + 3) (8x - 3) by first expanding the polynomials. Enter the…

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Q: The region bounded by f(x) = -4x² + 20x + 56, x = 0, and y = volume of the solid of revolution. Find…

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Q: 11,13 The expression log Alog(z) + Blog(y) + Clog(2) where A= can be written in the form B= and C=

A: Given Logarithmic Expression log( x13y13z16 ) Formula used log( xy ) = logx - logy log( xy ) = logx…

Q: Find an equation of the plane. the plane through the point (7, -2, -6) and parallel to the plane z =…

A: find an equation of the plane through the point ( 7 , -2 , 6) and parallel to the plane z= 3x-4y the…

Q: List the zero's of f(x) = x³ +3x²+2x.

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Q: 1 If sin(x) , and a is in quadrant IV, determine the exact value of each of the following. Use 5…

A: Sine positive 1st and 2nd quadrant And cos positive 1st and 4th quadrant And tan positive 1st and…

Q: 1. S 34x-1 3x - dx

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Q: Q.7. Find the value of the hypothenuse and the value of the angle 0 a) Expressing the exact value of…

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Q: consisting of those points P such that |PA|² – |PB|² = 12. Give your answer in the form ax + by + c…

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Q: X 0 2000 A television camera at ground level is 2000 feet away from the launching pad of a space…

A: The angle of elevation of the camera is given by: θ=tan-1x2000 Using the Pythagorean theorem:…

Q: Evaluate the definite integral. ¹9 So 18 X√x - 8 dx

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Q: Solve the following word problems by completing the table below. Fill-out the right column with…

A: Let two positive numbers x and y Given their product is 169 Let the sum of x and y is denoted by s

Q: ㅠ Si F. ¹ · dỡ where F = (3z, 0, −2x), and C' is given by r(t) = (t, sin(t), cos(t)), 0 ≤ t ≤ ñ…

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Q: Suppose the volume of water, Vm³, in a container satisfies the equation V = x³ e-x², where xm is the…

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Q: 3) Find a vector function r(t) that represents the intersection of the surfaces: z = √√√x² + y² z =…

A: z=x2+y2 and z=y+1

Q: 9 Find the derivative of ƒ (w) = w 10 +5w. What is the domain of f' (w)?

A: The function is given by fw = w910+5w To determine: The expression of the derivative of the function…

Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

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Q: A ball is thrown upward from a height of 0.9 m at an initial speed of 24 m/sec. Acceleration…

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Q: Consider the vector field F = (2xy³ − y sin x)i + (3x²y² + cos x)j (a) Determine whether F is…

A: F = (2xy3 - y sin x)i + (3x2y2 + cos x)j

Q: Consider the indefinite integral x" (x5+7)5 This can be transformed into a basic integral by letting…

A: We are required to evaluate: ∫x4(x5+7)5dx

Q: 4 The volume of a cantaloupe is given by V= ²³. . The radius is growing at the rate of 0.7 cm/week,…

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Q: (Use symbolic notation and fractions where needed. Use C for the arbitrary 70 2 (x + 1) (x² +9) ² dx…

A: To integrate the following question.

Q: 1) Consider the vector function r(t) = (cos(3t), 2sin(-3t), t). Analyze the function, then sketch a…

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Q: Let A(z) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

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Q: The function f(x) = -2x³ +39x² 240x + 4 has one local minimum and one local maximum. This function…

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Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = e, y = 1…

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Q: a. Compute the present value of an investment that generates income at a rate of 5000te 0.01 dollars…

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