Q3/Find the value of x If the approximation of the integral f f(x) dx by trapezoidal method is given by, (n = 4)? where f(x) is given by. X 0 1/4 1/2 3/4 1 f(x) 1 x 5/2 x 2

Q: EC) Find the average value of the function f(x,y)=²+2x+3y-15 over the rectangular region R=…

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Q: 1. TⓇ S (a) Find the general indefinite integral. 2t² + t²√t-1 t² dt

A: topic- definite integral

Q: Suppose that sin(θ)=4/6. What cos(θ)=______. (round to 3 decimal places)

A: sin(θ)=4/6

Q: Additional Activities (-2.39) (14) 4 20 10 885 40 50 1 (2.7 3 B. Locate and classify the critical…

A: Given

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A: To find vertical asymptote we will put the coefficient of y equal to zero.

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Q: 17. What is the amplitude of the graph y = -4sin (x - 2)? The amplitude is. units. 04 02 O 2T O K|N…

A: For the equation  y=A sinBx+C+D   A-  Amplitude   B- Frequency   C- Horizontal shift   D-  Vertical…

Q: 3) Grandparents place a continuous stream of $1,000 per year into a college fund which has a…

A: As per our guidelines we are advised to solve first question . Please upload other questions as a…

Q: his question is designed to be answered without a alculator. Use this graph of function f. y 5+ 4 A…

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Q: cos 2t cos 5t 8 S³ + 29 (s² +49) (s² + 9) Option 3 S S s² + 49 s² +9 Option 2 O None of the Choices…

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Q: 2. y = 1 (tanh~' 2x)3

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Q: You are designing a container that is a right circular cylinder with a volume of 1000 cubic…

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Q: Find The Inverse Laplace

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Q: 1) Find the area, in square units, bounded above by f(x)=6x² −9x−6 and below by g(x)=7x² −5x−3.

A: Here we have to find the atea Bounded by graph.

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Q: At 12:00 noon, there were 225 bacteria present. By 4:00 pm, there were 427 bacteria. If the bacteria…

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Q: (c) 1 e¹/x x² dx

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Q: Find the linearization L(x,y) of the function at each point. f(x,y) = x² + y² +1 a. (3,4) b. (0,3)…

A: To find the linearization Lx, y of the function at each point.fx, y=x2+y2+1 a 3, 4b 0, 3

Q: (CLO-3] The second derivative f(x) of a function is given. Use this information to find all values…

A: The second derivative f''x of a function is given. By using this information to find all values of x…

Q: Given z *- Find Z*** www.xy. www Option 1 Zxx = -2x³ Zxx = -2x-3 Option 3 Zxx = 2x 3 Option 2 none…

A: Given

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A: Let's find total numbers of pigs in the piggen.

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Q: Find the largest triangle that can be inscribed in the ellipse (x2/a2)+(y2/b2)=1 using Lagrange…

A: answer is in next step

Q: Calculate the derivative of y with respect to x when sin(x + y) = 5x + 4 cos(y). (Use symbolic…

A: topic- derivatives

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Q: Find if dy dx y = (cos x) * O (cos x) * (-sin x) O (sin x) * (In cos x - x tan x) O (sin x)* (In cos…

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Q: Find the value of the following mplicit derivative tan y-sec x=5 find...y'

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

Q: 2. Consider the function f(r). 2r²-9r-18 r²-r-2 (a) Sketch the curve y = f(r). (b) Find the area of…

A: We have to sketch the curve and find area.

Q: Let y = tan (3x + 3). Find the differential dy when x = 3 and dx = 0.4 Find the differential dy when…

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Q: A capacitor has two parallel metal plates measuring 0.45 m² each. The distance between the plates is…

A: Given:-Area of plates=0.45 m2distance between plate, d=1 cm=10-2mthickness of permittivity ,…

Q: The population of a small city is 374,000. If the population grows at a rate of 2.1% per year, what…

A: Given query is to find the population after 25 years.

Q: If the population of a city is 155,000. If the population declines continuously by 5% per year, what…

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Q: find the distance from the point P (2,1,1) to the lins x+1 y-1 Z-3 L: 6 -2 -3 = =

A: To find the distance from the point to the line.

Q: Find an equation for the plane that is tangent to the surface z = In (x³ + y²) at the point…

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Q: 2. Find the general solution o- = y(1+e³) 1 له 342433434 11 11 1 "싫

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Q: {CLO-1} Find the values of a and b such that the following function is continuous everywhere. ax²-a…

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Q: Find the derivative of a composite function using the Chain Rule or General Power Rule.  1.) y=…

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Q: Using u-substitution, find the length of the arc of the function x^2 = 4y from x = -3 to x = 3. Show…

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Q: Use the first derivative to determine where the function is increasing and decreasing and where all…

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Q: [CLO-2] Find the derivative of f (x) = x −x5 e 2x + 3 1-5x4 x-x5 x-5x5 2/x −x5 1-5x4 Vx-x5 −5x4…

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Q: uate (f¹) '(2) for the function f (x) = √x³ + x² + x + 1. lain your reasoning and write the solution…

A: Topic:- function and its derivatives

Q: 19. Find potential function for = (3xy, æ³)

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Q: 3. A particle moving along the x-axis has velocity function v(t) = t²e-t. How far does the particle…

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Q: This question is designed to be answered without a What is the particular solution of d = 2xy-y…

A: Solving the differential equation by seperation of variables.

Q: What is the average value of f(x) = O 0 0 au al 17/12 +² 36 over the interval [1, 6]?

A: Here we have to find the average value.

Q: 5.) Find fog and go f, and their domains. f(x)=√x - 4, g(x) = x²

A: Given :f(x)=x-4g(x)=x2

Q: Find the total area of the shaded regions. ← Ay 55- 50- 45- 40- 25 35- 30 30- .. 25 20 20- 15 15- 10…

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Q: 9.) Find all horizontal and vertical asymptotes of f(x) = 4x 5 - x² - 9

A: The given function is f(x)=4x-5x2-9 First we factorize the numerator and the denominator.…

Q: The function f(x) = 2x³ +4.98x² + 26.2416x +2.34 is increasing on the open interval ( It is…

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Q: (CLO-3) Find the area of the largest rectangle that can be inscribed in the region enclosed by the…

A: solution:-y=x2-2y=-x2+2let two value of x is -t & t , because the graph is symmetrical about…