Given c = < −1,7 > and ƒ = < 1, −9 >, find č + f. c+ f = <

Q: x= y^2 - 4y   x= y-y^2   find the area

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Q: Problem: Consider the function f(x) = x² - x + 1. a) Use the limit definition of the derivative to…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Based on the table below, answer the following questions. Use the average of the average rates of…

A: We can calculate average rate of the function using the right and the left interval. Then we will…

Q: Identify the integrating factor for the differential equation + dy dx a. X secx b. x+secx c. x-secx…

A: Given differential equation:- dydx+1x+tanxy=2secx

Q: Kylie leans a 30-foot ladder against a wall so that it forms an angle of 74 with the ground. What's…

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Q: A tank contains 180 liters of fluid in which 40 grams of salt is dissolved. Brine containing 1 gram…

A: Let At be amount of salt at any time t  Given that Initial amount of salt=40 gram Rate of pumping in…

Q: Suppose f'(6) = 2 and g'(6) = 9. Find h'(6) where h(x) = 5f(x) + 2g(x) + 2. h'(6)=

A: Please see the below answer.

Q: Find lim (x,y) + (0,0) 1 х2 ту? if it existi

A: here we have to find the limit of a function.

Q: why are the position vectors of D, E, F (b+c)/2, (a+c)/2 ect and not D= (c-b)/2, E= (c-a)/2, F=…

A: The objective is to determine why are the position vectors of D, E, F are b+c2,a+c2, and…

Q: For the function shown in the graph, give the interval(s) where the rate of change of f(x) with…

A: Here we have to find the interval where the rate of change of f(x) is positive.

Q: Let f(t)=6t^2+8. Estimate the following to within two decimal places by using small enough…

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Q: est 3. Given the complex number 2₁ = 2(cos+isin) and 21 22 = 4(cos 37x 30 + i sin 37), express the…

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Q: A moviny particle starts ✓ (0) = (0,0,07 with Its acceleration is Find its velocity and at initial…

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Q: Use the second derivative test to identify any critical points and determine whether each critical…

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Q: Find the exact value: cos 165 O-√6-√2 4 O √2-√6 4 O √6+√2 4 O√3-2

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Q: Find, correct to the nearest degree, the three angles of the triangle with the given vertices. P(1,…

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Q: Use the graph of y=f(x) to graph the function g(x) = -f(x) +1. y = f(x) Ay 04 Choose the correct…

A: Graph of the function y=fx is given, we have to sketch the graph of the function gx=-fx+1.

Q: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y² - xy + 6…

A: To find out the tangent line equation.

Q: Зл 52 Evaluate the iterated integral J xcos y dy dx 3 л

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Q: Consider the function. Answer Step 2 of 2: Determine the open intervals on which the function is…

A: Introduction: For a given function, y = F(x), if the value of y is increasing on increasing the…

Q: Evaluate the integral of sec^5(x)tan^2(x)dx using trig integrals

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Q: vWrite a function g(x) that represents the exponential function f(x)=2x after a vertical stretch by…

A: Given the function f(x) and find g(x)

Q: Let p(r) represent the function whose values are given in the table below: 1 37 15 31 20 32 56 104 r…

A: NOTE: Refresh your page if you can't see any equations. . the given points are plot all data points…

Q: or the given function, find (a) the equation of the secant line through the points where x has the…

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Q: Given the function f(x), Priya finds f'(x) and then finds that f(4) = 8 and f'(4) = 10. Use this…

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Q: Find an equation for the tangent line to the graph of the given function at (-4,14). f(x)=x²-2 Find…

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Q: 9. Let y=3x+2 a) typically we write points in this scenario as (x,y), not (y,x), why is that? b)…

A: Given : y=3x+2  a. here ,  y is dependent on x  x is independent variable , and y is dependable…

Q: 5. (x5 + 3y)dx - xdy = 0

A: To solve the following differential equation. x5+3y dx-x dy=0

Q: 13. f(x) = 2x6 + 4x5 + 9x² 15. g(x) = -7x³ + 8x4 - 6x6 17. h(x) = 4x² + 5x³ - 2x5

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Q: Consider the function. Answer Step 2 of 2: Determine the open intervals on which the function is…

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Q: Let a = (5,2,-5) Find the projection projā b =< and 6 = (-5, -3,2). of b onto a.

A: Given: a⇀=5,2,-5 and b⇀=-5,-3,2.We need to find the projection of b⇀ onto a⇀.

Q: IV. Evaluate the following: a) A pen manufacturing company produces blue and black pens only. If…

A: This is question of calculus here percentage is given we have to find quantity of manufacturing.…

Q: For the function f graphed below, find the following limits: 1. lim_f(x) = x→-1- -10 2. lim f(x) =…

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Q: We put $500 into an account earning interest compounded continuously. What interest rate do we need…

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Q: Let f(x)=4x^3−2.5x+1 In this problem you will estimate f′(−3) by computing the average rate of…

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Q: Find the domain and the range of the functions and sketch both as regions in relevant spaces as well…

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Q: tegral of 1/(x^2+4x+13)^2

A: Given: ∫1x2+4x+132dx

Q: Find the absolute extrema of the given function on the indicated closed and bounded set R. (Order…

A: Given :fx,y=x3-3xy-y3

Q: 2. Let f(x) = x² + 2x.

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Q: Find the center of mass of a thin plate of covering the region between the x-axis and the curve…

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Q: From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the…

A: Introduction: Two different functions can be combined using mathematical operations such as…

Q: 4. (x + y)dx + (2x − y)dy = 0. -

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Q: Find the unit vector e, if v = (-4, 3) ev = <

A: here we have to find the unit vector.

Q: 4. Read the graph below and answer the questions that follow: 7 a) lim X-2- 3 30 2+ b) lim X→2+ c)…

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Q: (a) lim /(x) = 0 8118 (b) lim/(x) = 2 x-0 (c) lim/(x) = 1.5 x-1 N 1 A 3 e 0 (d) The equation of the…

A: Given query is to find indicated limits.

Q: area under curve Integral calculus

A: here we have to find the area bounded by the curves.

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

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Q: Find the volume of the solid generated by revolving the shaded region about the y-axis. 0.5- 91 x=4…

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Q: Let à = and b =. Find k so that a and b will be orthogonal (form a 90 degree angle). k=

A: Given  Vector a ={3,2,-1}  Vector b={-2,-5,k} Now we know that vector a and vector b are orthogonal…

Q: Find the volume, V of the largest right circular cone that can be inscribed in a sphere of radius,…

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