EXAMPLE 2 Fir 100 56. Σ(3k + 4) k=1

Q: Given the points A: (3, — 2, 2) and B: (5, 2, 6), find the vector u = AB

A: The points are given by A3, -2, 2B5, 2, 6 To evaluate: The vector u→ = AB→.

Q: Let / be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x…

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Q: 9 8- 7 16 1 A 3 يها 2 1 If f(x) f'(3) = = g(x) g(x) h(x)' 2 3 x-values then 5 4 يها 2 1 h(x) 1 2 3…

A: Given that graph of gx and hx    and fx=gxhxTo find :f'3Solution…

Q: 6x g(x) = -5x8 + (a) | 19 (1) a (b) 1 g(a) (c) g(√a)

A: Given query is to perform indicated function operations.

Q: Find the curvature K of the curve, where s is the arc length parameter. r(0) = (1 - V✓⁄² s)i - (1 –…

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Q: Find Vectors and Perform Vector Operations in R³ Let à = i + 27 + 3k. Find ||a||.

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Q: Find an equation for the tangent plane to the surface 6 z + 2 = xy cos(z) at the point (2, 1, 0).…

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Q: If x² + y² + z² = 9, dz dt = dx Š dt dy dt = 4, and = 3, find dz dt when (x, y, z) = (2, 2, 1).

A: x2+y2+z2=9 dxdt=4 and dydt=3 (x,y,z)=(2,2,1)   Differentiate the given function with respect to t:…

Q: y = 7 cos(x), y = 7 − 7 cos(x), 0 ≤ x ≤ π

A: Given y=7cosx, y=7-7cosx, 0≤x≤π

Q: The volume of a cube with sides of length s is given by V = s³. Find the rate of change of the…

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Q: Find the point on the ellipse x² + 4y² + 2xy = 12 with the greatest x-coordinate.

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Q: Icc cos(x) + sin(x) dx

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Q: 4) Find the equation of the tangent line to the function f(x) = 3 at x = 1. Round the slope to one…

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Q: Estimate using the linearization L(x) of f(x)=√√ at a = at a = 49. (Use decimal notation. Give your…

A: Given that , fx=1x Estimate 152 using the linearization Lx of fx at a=49.

Q: d'T At a certain moment, the temperature in a snake cage satisfies = 0.008 °C/s. Estimate the rise…

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Q: Can I write the final answer without using grouping symbols for the product or multiplication…

A: We have to tell for write the final answer without using grouping symbols for the product or…

Q: Find the average value of f over the given rectangle f(x, y) = 2x²y, R has vertices (-3,0), (-3, 3),…

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Q: Find the linearization at x = a. f(x) = 3₁ a=5 (Express numbers in exact form. Use symbolic notation…

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Q: Question 8 A graph displaying the relationship between the value of a stock and time is shown below.…

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Q: 16² - 15 $+

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Q: A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German…

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Q: Given the position function s(t) = 2+³ - 2 +² - 60++ 3₂ where it is in seconds and s is in ft, Find…

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Q: A store owner want to develop a new snack mix by mixing chocolate and trail mix. How many pounds of…

A: Cost of chocolate per pound =$ 13.8 Cost of trail mix per pound =$ 4.4

Q: 6 5 4 3 2 -6 -5 -4 -3 -2 -1 lim h→0 -2 -3 -4 -5 2 3 4 y = g(x) is graphed above. Estimate the…

A: Given query is to find the value of the expression.

Q: Evaluate a multi-variable function Let f(x, y) = √√150 - 2x² – 4y², and evaluate f(1, 0). Please…

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Q: 2) Draw a graph of a continuous function that satisfies the following conditions. f'(4) > 0 f'(-6) <…

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Q: For a certain automobile, M(x)=-015x² +1.43x-7.6, 30s x s60, represents the miles per gallon…

A: Given, M(x)=-.015x2+1.43x-7.6

Q: Find the volume V formed by rotating the region enclosed by the curves: y³ = 6y with y ≥ 0; about…

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Q: A conical tank (with vertex down) is 14 feet across the top and 20 feet deep. If water is flowing…

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Q: d csc 0 if tan 0 = 0 = and terminates in QII. Answer exactly. 15 Preview TIP Enter your answer as a…

A: Topic:- trigonometry ratios

Q: Sketch the region of integration and evaluate the following integral, where R is bounded by y = |x|…

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Q: Answer seems to be wrong

A: Given function:- 8x2-y2-7z=362

Q: Find Vectors and Perform Vector Operations in R³ Find a vector with initial point ( – 2, 5, 0) and…

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Q: 1. Suppose that the quantity r is 1000's, and price p in dollars are related by the price demand…

A: The given price-demand equation is, x2+5px+10p=220

Q: A pet rectangular box has length 6 inches, width 4 inches and a height of 17 inches. Find the angle…

A: Let's find angle between diagonal and its base.

Q: 22. lim (x, y)→(0,0) 1 - cos (xy) xy

A: See this solution in below.

Q: -10 Describe the x-values at which the graph of the function f(x) = given below is differentiable.…

A: see below the answer and explanation

Q: Sketch the plane curve. r(t)=3ti-tj, [0, 3] y 2 Find its length over the given interval. 6 6 8 8 10…

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Q: Find the minimum of ƒ(x, y, z) = x² + y² + z² subject to the two constraints x + y + z = 1 and 2x +…

A: Given :- fx,y,z=x2+y2+z2Subject to constraints x+y+z=12x+3y+4z=8

Q: Tutorial Exercise Find the derivative of the function. HINT [See Example 1(b).] h(x) In[(-3x + 7)(x…

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Q: Approximate 181/4 using the Linear Approximation L(x) of f(x) = x¹/4 at a = 16. (Use symbolic…

A: We need to approximate value.

Q: 1. Find a particular solution to y" + 4y + 4y= 25 cos(t). Solution yp(t) =

A: As per guideline we can solve maximum one question you can repost other question

Q: (a) Find the differential dy. 2 y = √√√3+x² dy: = (b) Evaluate dy for the given values of x and dx.…

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Q: Describe vectors in the xyz-coordinate system

A: Given query is to find the distance of point from the YZ palne

Q: The position of a free-falling object is given by s(t) = -4.9t² + vot + so where s(t) is measured in…

A: Note : As per our Guidelines , we can solve first three subparts .Please repost remaining subparts .

Q: 1. For the function f(x) = 4x³ + 3x² - 6x + 1, find the following: (a) The critical numbers of f (b)…

A: Given query is to find the critical numbers and the intervals where function is increasing and…

Q: Brain weight B as a function of body weight W in fish has been modeled by the power function B =…

A: We need to find rate of Brain growing.

Q: 27-30 Compare the values of Ay and dy if x changes from 1 to 1.05. What if x changes from 1 to 1.01?…

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Q: (a) f(x) = 2x³ - 3x²-12x+1 on [-2,3]

A: As per our guidelines we are allowed to solve only one complete question. Kindly repost others.…

Q: Find the constant of integration for the DE dQ 2 + dr -Q=4; Q(2) = 100. 10+ 2r Select one: O a. 1306…

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