Assume that the vectors a, b, c, and d are defined as follows: a = (8,3) b = (6,5) c = (4, -1) d (-2, 0) = Compute the indicated quantity. -2c + 2d

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Q: 9 B = 10 2 4-[1 ² 3] and 5 6 A = 6. Given EXPLAIN WHY you can multiply AB but cannot multiply BA.

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Q: x²-3x-4 Lim x- x²-1

A: The solution is given below:

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Q: The parabola 8x² + 5y = 0, opens upward. downward. to the right. to the left.

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Q: y = x *Arctan (x4)

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Q: LAW OF GROWTH AND DECAY A radioactive material decays at a rate proportional to the amount present.…

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Q: Differentiate the function and simplify the final answer. y = 2xsin x - x^2cosx

A: Given,y=2xsinx-x2cosx

Q: 1. 2. dx dx sin²(x² + 2x + 1) [4 tan(3x³) - 5 csc x]

A: To find derivatives

Q: In a polynomial, a number in front of the variable is called exponent. صواب ( خطأ

A: We have to find out

Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

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Q: :- Find the volume of the solid between y = x+1 which obtained the curves y = (x-1)² and by rotation…

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Q: A farmer wishes to fence off a rectangular field with 1000 ft of fencing. If the long side of field…

A: Here is the solution of the given problem. Application of derivative. Maximum and minimum.  Critical…

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Q: A body temperature of 50°F is placed outdoor where the temperature is 100°F. If after 5 minutes the…

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Q: 3. The Critical Point of y=xe*

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Q: Lim √2+x² X

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Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: Using the given data we have: where x is the horizontal length and y is the length of the string.

Q: 1.Find dy/dx of the following: 5. y = Incose* tan x 6. y = ln(1-xe) 7. y=eta et 4. y= In x 8.…

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Q: 4. Given z = x-y x+y Find əz/ax 4

A: z=x-yx+y differentiate partially with respect to x

Q: B. Find all the values of x on the open interval (-5,5) where g is increasing. Justify your…

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Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) The line…

A: Given problem:- Find a vector equation and parametric equations for the line. (Use the parameter t.)…

Q: Find the Jacobian ə(x,y,z) / ə(u,v,w) of the transformations below. a. x=3u cos v, y=5u sin v, z=7w…

A: We want to find Jacobian.

Q: II. Solve the following problems. Enclose final answer. 9. A gutter with trapezoidal cross section…

A: Concept: Area of the base of the trapezoid =12(sum of its opposite sides)×height We know that the…

Q: 3.sin (2 4. (4 sin 3x - x) dx

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Q: 1. For the cross product between vectors a=[h, -1, 8] and b=[k, 5, 7] to be axb= [-47, -5, 17], what…

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Q: Given two lines in space, either they are parallel, they intersect, or they are skew (lie in…

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Q: Use your calculator to determine how many solutions each system has. Then without a calculator,…

A: Note: As per our company's guidelines we are supposed to answer the first question only. Kindly ask…

Q: Two numbers whose product is 1 are called opposites. صواب خطأ

A: Opposite of a number is just negative of that.If x is number then -x is its opposite number not 1x.…

Q: Approximate 141/4 using the Linear Approximation L(x) of f(x) = x¹/4 at a = 16. (Use symbolic…

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Q: 11. In each part state the x-coordinates of the inflection points of f. Give reasons for your…

A: We want to find inflection points.

Q: dy 9 Find the general solution of the differential equation: - dt t Use lower case c for constant in…

A: Here we have to find the general solution of the given differential equation,  dydt-9t·y=t5 Compare…

Q: Sinzo + Cos20 +1 Sinzo- Cos2© +1 - - сото

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Q: MY NOTES ASK YOUR TEACHER The rate of change of the function f(x) = sin(x) + csc(x) is given by the…

A: Verify the identity

Q: A force of 6 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. How…

A: F = -kx  6 = -k(0.2) So, k = 30   Work done, W = (1/2)kx2 = (1/2)*(30)*(0.9)2 = 12.15

Q: Q.3) Evaluate the following dx 1) [ x² + 10x + 30 T 2) [²√³x² 3) ² ² 1/2 dx xy y sin x dx dy dx dy

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Q: An equation for the vertical line through (-3,3) is x=-3 صواب O خطأ

A: Given: An equation for the vertical line through (-3,3) is x=-3.

Q: 9. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 4√108…

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Q: 3. Lim In(x+1)3 x →∞0 6x

A: We can evaluate the limit as below.

Q: Find the derivative of g(t) = 4t2 + 8t at t = 3 algebraically. g'(3) =

A: Topic:- derivatives

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 5. Lim xsinx x+0+ 5

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Q: II. Solve the following problems. Enclose final answer. 10. At what rate is the vertex angle of a…

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Q: Solve this logarithmic equation for x: log(4x +27) = log(x-2) + log(x) Reminder: To indicate 3x2,…

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Q: What is the value of C?

A: We have to find the value of C.

Q: Write an equation for the transformed logarithm shown below. Your answer should include a vertical…

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