Write an equation of the plane with normal vector n (7,5, −4) passing through the point (1, −5, 1) in scalar form = = -110

Q: The population of a town in 1920 was 2700 people. The town's population decreased linearly, and in…

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Q: Sketch a graph of f(x) = = - 3 X - 2 1 -5 -4 -3 -2 -1 if x 1 -1 -2 -3 -4 -5+ Clear All Draw: ✓ 1 2…

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Q: 1. Using the graph of f(x), what is lim, -1/(x)? A. - 00 B. 0 C.-2 D. Does not exist E.

A: As shown in figure, As x tends to -2 from left , f(x) tends to negative infinity . That is…

Q: use the limit comparison test to determine if the following series converges or diverges (hint :…

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Q: Transform each graph as specified below. (a) The graph of y=f(x) is shown. Draw the graph of…

A: Solution is given below:

Q: Determine the point(s) at which the given function f(x) is continuous. f(x) = 15x - 21+5 sin (2x)…

A: GIven function:- fx=5x-2+5sin2x

Q: If f(x)=x²+4, find f(x +h)-f(x) and simplify. f(x+h)-f(x) =

A: Given query is to perform indicated function operation and simplify.

Q: Evaluate the following Limits: 3 1. lim x418 2. lim 1 3+ 2x x-1 x-1 √4x+5-3 3√x6+8 3. lim x→∞0…

A: Here is the required solution:

Q: 18. The graphs of f'(x) and f"(x) are shown below. Which of the following statements best describes…

A: Here we have a graph of f'(x) is

Q: 6. What is the equation for the slope of the ellipse+-1 at 1 at (x₁, ₁)? A. B. C. D. E. y' = -21 y'=…

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Q: The conversion of temperature units from degrees Fahrenheit to degrees Celsius is given by the…

A: Given query is to find composite function.

Q: The monthly supply and demand for a particular bike is represented in the accompanying graph. The…

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Q: Describe all the x-values at a distance of 15 or less from the number 10. Enter your answer in…

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Q: y 10+ 8 6 4 2 2 6 8 100 10 X

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Q: Sketch the vector field F(x, y) = xỉ + yj and calculate the line integral of F along the line…

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Q: Find the power series for f(x) = 24x³ in the form Ea (1-x4)² n=1 Hint: First, find the power series…

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Q: 25. Sa 2x²-10x +4 (x + 1)(x-3)² dx

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Q: Write the equation of the line in slope-intercept form that passes through the points (-1,5) and…

A: Given query is to find the equation of the line in slope intercept form.

Q: Find f. f. f 2 f(x,y,z) = 3x - √y² +2₂² f = 0 (Type an exact answer, using radicals as needed.)

A: f(x,y,z)=3x-y2+2z2

Q: Q. 3. a) Find first and second derivatives of the following functions: 7x

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Q: When a temperature of a pot in a kiln is 1, 200°F, an artist turns off the heat and leaves the pot…

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Q: 'm sorry the point is -3/2 (negative three halves) not -32

A: The Solution is given below-

Q: A graphing calculator is recommended. The displacement (in centimeters) of a particle s moving back…

A: Let's find average velocity and instantaneous velocity.

Q: 2. Find the area of the surface generated by revolving the given curve about the y -axis. (a)…

A: The surface area of the curve is given by

Q: 1. Determine the derivatives of the following functions (a) y = (x² - 2)²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: help

A: The main difference between simple and compound interest

Q: Apply the substitution to transform the integral into a trigonometric integral. Do not evaluate the…

A: ∫x316-x2dx

Q: 2. How many terms are in the sequence? -20, -15, -10, ... 1115

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Q: The horsepower H required to overcome wind drag on an automobile is given by  H(x) = 0.00004628x3,…

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Q: Let F = (esy, sin4 x, cos 8 x). Calculate curl(F). curl(F) =

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Q: Evaluate the integral. (Use C for the constant of integration.) √x²√3 dx √3+2x-x²

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Q: Find the vector and parametric equations for the line through the point P = (-1, 4, −4) and the…

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Q: Let f(x)= -7x^2-8x, if x<1 4, if x=1. 5x-2, if…

A: Concept: Left hand limit: The value of a function that approaches when a variable gets close to its…

Q: Define g(2) for the given function so that it is continuous at x = 2. 2x²-8 2x - 4 g(x)= Define g(2)…

A: We can find the correct answer in the below steps.

Q: E] Find domains and ranges of the following relations? Write domains and ranges in interval…

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Q: (x) Given fx = x² In 9x Differentiating both side wrt x r(x) = (x² In 9x) d dx

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Q: K Researchers developed a function that can be used to accurately predict the weight of female cows,…

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Q: EXS- Find the roots of the following eq.: 2¹ - 22²4+4=0 Sol 8.

A: Roots

Q: Find ||u₁y|| if u = (2,5), v = (8,2). # 5 -X (Express numbers in exact form. Use symbolic notation…

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Q: 34. -6h 28 ft As shown in the above picture, a 6 foot tall man is standing on a beach at night. He…

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Q: In the diagrams below, three points with equally spaced x-coordinates are shown. (0,1) (2,5) mi a.…

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Q: Find a vector n normal to the plane with the equation x+6y + 4z = -10. n= 00> (1₂)

A: Concept: The equation of the plane is written as: ax-x0+b(y-y0)+c(z-z0)=0 or ax+by+cz=d Here the…

Q: a) Find first and second derivatives of the following functions: x³ + 7x y=-cot(3t-1)

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Q: The age/weight relationship of a particular animal can be estimated by the function e-0.03(1-58)…

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Q: The average price of a 0.5-carat round diamond is $3700 and the average price of a 0.75-carat…

A: Given query is to find the cost of 2.5 carat diamond.

Q: For the equation, find the slope m and y-intercept (0, b) (when they exist) and draw the graph. (If…

A: Here we have to find the slope and y intercept.

Q: 3. X+Y)/4=5Z

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Q: Evaluate the piecewise defined function at the indicated values. f(x) = 3 if x ≤ 5 5x −…

A: Given function  f(x)=3if x≤55x − 6if x&gt;5To Find: function value at  f(−6)   = f(0)   =     f(5)…

Q: Recall the equation for a circle with center (h, k) and radius r. At what point in the first…

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Q: a) Find the area of the region enclosed by the curve y=x²-2 and by the line y = 2. y=x²-2 y=2 Co

A: Area of a closed region is given by  A=∬dydx, when the strip of area is parallel to y-axis.