Exercise 1.18. Find the equation of the plane in R passing through the three points P₁ = (1, 2, -1), P₂ = (-1, 1, 4) and P3= (1, 3,-2).

Q: C -6 -5 -3 O -10 -9 -8 -7 -6 -5 -4 -3 -2 -10 -1 -2 1 10 5 9 B 76 5 4 3 2 1 Use the graph to fill in…

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Q: Provide me with the answer for part C

A: We have to evaluate the integral in part C.

Q: Find the area of the shaded region. -4 y = x² (-2, 4) -2 8 6 4 2 (1, 6) 3y=2x+16 2 (2,4) y=8-2x 4 X

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Q: Sunset Lake is stocked with 1500 rainbow trout and after 1 year the population has grown to 3850.…

A: Sunset Lake is stocked with 1500 rainbow trout and after 1 year the population has grown to 3850.

Q: The following integral may be evaluated by using integration by parts. Note: e can be entered by…

A: The integral isFormulas used,Using ILATE rule.

Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy dx 6 +…

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Q: The following integral can be evaluated by using substitution: a) b) Identify the inside function.…

A: The given integral

Q: Find two unit vectors orthogonal to a = (3, 4, 5) and b = (1, −1, −5) Enter your answer so that the…

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Q: . Find JpF-dr, where P is the line segment from (0, 1) to (1,0) and F(x,y) = (z²+²y).

A: We have to find  where P is the line segment from (0,1) to (1,0) and

Q: d) Evaluate the definite integral, correct to 3 significant figures: ₁-5 lm (42) dz

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Q: Find the area of the shaded region. 1(1, 1) 5 10 y=√x y = 15 20 X = 27 25 X

A: The region bounded by curves  and  The given graph

Q: Find the complex conjugates for each number below. Please note that the line above the number is the…

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Q: Let f(x)=x² - 2x + 6, g(x)= and h(x) = √26-x. Find f(0), g(0), h(0), f(a), and f(-x). √x

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Q: Rewrite the following equation as a function of x. 680x+10y-1000=0

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Q: Find the given limit. lim (-x² +9x-8) X X-5

A: Topic = Limits

Q: for B- 6- NO -10 8 6 4 26 (13) (8.6) X $10

A: A relative maximum point is a point where the function changes direction from increasing to…

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Q: In 2000, there were about 200 million vehicles and about 281 million people in a certain country.…

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Q: 7. 4 Given the region R bounded by y = 9 - x² and the x-axis, find the horizontal line y = k that…

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Q: 3. (Parametrizations) Find parametric equations for the following curves. (a) line segment from…

A: Circle has radius of 2 units.Circle centered at the origin.Initial point (0, 2)Terminal point (-2,…

Q: f(x)= 1 √1-x 寫 款

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: x³ - 125 x² - 25 Complete the table below. If necessary, round your answers to four decimal places.…

A: Substitute x=4.9.Substitute x=4.99.Substitute x=4.999

Q: [r³√x x³√x² + 1 dx V

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Q: What is 2000 ft reduced by 15% ? Answer as a number ONLY

A: The given measure is ft.The aim is to find the reduced by . Note:  Since you have asked multiple…

Q: Integrate and evaluate √² + 7 +36 70 +1d

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Q: Express the function in the form fogo h. (Use non-identity functions for f, g, and h.) H(X) = √√9+…

A: To express the function H(x)=9+|x|5 in the form f∘g∘h, we can decompose it into three non-identity…

Q: Example 1.1. The point P(-2,2) lies on the curve y = √2-x. (1) Sketch the curve and the tangent line…

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Q: Consider the following. F(x) = { x² + 2 -2 x² +2 if x #1 if x = 1 -1 1 2 WebAssign Plot Use the…

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Q: The graph below is the function f(x) O Q -5 -4 -3 -2 -1 x→-2+ 5+ 4 3 2 x -1 -2 -3 -4 Determine the…

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Q: Problems 1-4, Find the average rate of change for each of the following graphs. Match the graph of…

A: A graph of the linear functions are given.The aim is to find the average rate of change of the…

Q: The graph below is the function f(x). -5 -4 -3 -2 -1 lim f(x) x 2+ lim f(x)= x→2 ƒ(2) 5 4 3 Find the…

A: given graph of function

Q: Find the center and radius of the circle with the given equation. Sketch the circle. x² + (x - 2)² =…

A: To find the center and radius of the circle with the given equation.To sketch the circle.

Q: Sketch the graph of the function. -2 f(x)=x-1 In(x) -1 if x ≤ 0 if 0 < x < 1 if x ≥ 1 y 2 y 1 2 X…

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Q: Let u = [5, -2, 1]T and v = [1, –4, 0]. Find the vector w = 4u 2v and its additive inverse. W…

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Q: The number N of bacteria in a refrigerated food is given by : N(T) = 20t² - 80 T +500,2 ≤ T ≤ 14,…

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Q: Points] Consider the following. (b) (c) x-7, f(x) = x² + 1, 8-x, Find each limit. (If the limit is…

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Q: What are the answers to f g and h?

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Q: se the Cobb-Douglas production function to find the production level when x = 400 units of labor and…

A: This is question of calculus Here function is given We have to put value in function and we get…

Q: ك n=1 (-2)"-1 u9

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Q: In a right-angled triangle, the 2 sides adjacent to the right angle are 4.5cm and 8.5cm. What is the…

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Q: 9. For a general function y = f(x), what does - 10. If f(x) = x² + 3x + 2, find ƒ(5) - f(2) 5-2 ƒ(5)…

A: Given

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

A: The upper curve is,The lower curve is,.The lower and upper limits are:

Q: 4 The slope of the tangent line to the curve y == at the point (8, 8, 7/7) i is: I The equation of…

A: The find the slope of the tangent line to the curve  at the point .To find the equation of the this…

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y₁…

A: y1=(x-5)3y2=(x-5)We  have to setup definite integral from x=4 to x=5

Q: The graph of a polynomial function y = f(x), is shown at right. Identify the properties and…

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Q: Describe the transformations that produce the graphs of g and h from the graph of f. f(x)=√x,…

A: To describe the transformations that produce the graphs of from the graph of .

Q: Write an equation for a function whose graph fits the description given below. The graph of f(x) =…

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Q: Solve the triangle. Round side lengths and angle measures to the nearest tenth when necessary. 0 0 0…

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Q: The rectangular coordinates of a point are given. Plot the point. (-3√2, -3√2) -6 y (r, 0) = 4 -4 2…

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Q: The following integral can be evaluated by using substitution: a) b) c) Identify the inside…

A: Since you have posted multipart questions i can do first three subparts as per our company…