[2². X V2+xd.c

Q: Find the area of the region bounded by the graphs of the given equations. y = 7x², y = 7√x

A: The region is bounded by the graphs y=7x2 and y=7x. We have to find the area of the bounded region.

Q: 2. A city block is in the form of a parallelogram whose shorter diagonal AB is perpendicular t side…

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Q: The great pyramid has base length b = 233 meters and height h = 147 meters. Assume one side of this…

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Q: bacteria is An antibiotic-resistant being cultured for a new antibiotic testing. Initially, 100…

A: Please see the below picture for detailed solution.

Q: The marginal cost of producing a units of a certain commodity is C'(q) = 3q² 18q+ 30 dollars per…

A: Given the marginal cost C'(q)=3q2-18q+30. So the cost function can be obtained by integrating with…

Q: 3. A 1500-L tank leaks water so that the volume of water, in litres, remaining after t days, 0≤t≤15,…

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Q: (2) If g(x)=√x+x²+1 In(t) dt, then g'(x) = (A) (4x³ + 2x) In(x4+x² + 1) - 2x ln(x² + 1) (B)…

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Q: (b) d'y dx² dy_9y=2x+4 dx d'y dx² dx -+10y=x² +2 dy

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Q: x-z=-3 y + z = 9 -2x + 3y + 5z = 33

A: Topic- Solution of equations by Gauss -Jordan elimination We are given x-z =-3 y+z=9 -2x+3y+5z=33

Q: Question 5: Choose the correct answer in each of the following: (1) lim x X-0 X (A) 1 (B) -1 (C) DNE…

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Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) 1 x + 3 ✔…

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Q: If y = x² − xy + 1, then when x 1, dy dx is

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Q: 3- Sketch T and Evaluate the Integral SS, div Dav F(x, y, z) = (2xz)i - xyj-z²k being Where T is the…

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Q: If ƒ(x) = x² + 6, g(x) = x − 3, and h(x) = √x, then (fog)(x) = (gof)(x) = (hog)(x) =

A: The given functions fx=x2+6, gx=x-3, and hx=x. We have to find the functions f∘gx, g∘fx, h∘gx.

Q: Step 7 To estimate the slope of the tangent line at t = 15, we average the slopes of the adjacent…

A: Question - To estimate the slope of the tangent line at t = 15 we average the slopes of the adjacent…

Q: Read: Sections 2.1 and 2.2 either before you begin the assignment or when you get to the last…

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Q: Given the function f(x)=2x³ −12x² +30, Determine the stationary point(s) of f(x) = 2x³ −12x² +30,…

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Q: 2. Determine the area bounded by the parabola y² - 8x + 6y + 17 = 0 and the line 2x - y - 13 = 0. A.…

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Q: shouldnt e=2.71?

A: Yes, Value of e = 2.718

Q: Exercise 1. Tell whether the following sets are bounded from below and/or from above, specifying…

A: The given set is C=n−1n: n∈ℕ\0

Q: Find an equation of a sphere if one of its diameters has endpoints  (1, 4, 6) and (3, 8, 8).

A: Here we have to find the equation of a sphere.

Q: X√ хр. т-х а- by substitution b. by integral by parts

A: Topic:- application of integration

Q: 4. Which of the following quadratic equations has no solution? a) 2x² - 4x = 2x - 3 b) 2x² - 15x…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q9. a) Graph the function f(x)=2x+1,if x-1 Find f(-1) and f(-3).

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Q: 4. The graph represents the reciprocal of which quadratic function? 6-4 ya 2 on! N + Ny 10 A…

A: The graph of the function is given and We have to find the graph represents the reciprocal of which…

Q: Find the domain of the vector functions, r(t), listed below. using interval notation. a) r(t) =…

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Q: Rewrite sin (2 sin ¹4v) as an algebraic expression in v.

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Q: Find the total area bounded by the x-axis and the curve y = f(x) on the indicated interval Enter…

A: Use the definite integration to find the area under the given function with x-axis.

Q: 2. Find the interval and radius of convergence of n=1 (-1)" (x - 2)" n2n

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Q: 2. Given: y = 4 sin applifude b. period C. phose chift ditumine;

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Q: The demand equation for School lunches is x = 100-10p, where x is the number of lunches purchased…

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Q: Find the velocity and position vectors of a particle with acceleration a(t) v(t) = ( (0, 0, 10), and…

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Q: Which of these is an equation of the tangent line to the curve (+2+ 2t + 3,4t cost, 2 e³t) at the…

A: Please see the below picture for detailed solution.

Q: (12) f² f(x) dx The following is the graph of f(x)=√4x². Determine (A) tan-¹(2) - tan-¹(0) (B) (C) π…

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Q: 5 in the entire shape? You car calculator to help you solve. » 5 in 5 in I The perimeter of the…

A: We have to find the perimeter of the given entire shape.Now the right side of the given shape is a…

Q: What is the volume of solid generated when the area bounded by y=x² and y=4 is revolved about y=4?…

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Q: A radioactive material is sampled from a site of leakage. In 2020, the amount of radioactive…

A: Let initial amount present in 1975 = x0Law of Decay x = x0e-ktk = constant t = time x = amount at…

Q: The graph below is the function f(x) -5 -4 -3 -2 -1 5 4 3 Find f(2) O 7 -1 -2 -3 -4 5 1. Find lim…

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Q: P lim_ f(x) = x--00 lim f(x) = X-80 X lim f(x) = X-80 lim f(x) = x- X

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Q: The vector w = ai + bj is perpendicular to the line ax + by = c and parallel to the line bx - ay =…

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Q: The function fis defined below. f(x) = x-2 2 x-2x-3 Find all values of x that are NOT in the domain…

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Q: Match each question with the best possible solution. Determine the value(s) of 0, if sin0=0.8090…

A: a)  given  sinθ=0.8090we know that sin-1(sinθ)=θ

Q: Given A (1,2, 3, 4) and B (a,b,c). Let R be the following relation from A to B R={(1,b), (1, e), (3,…

A: Note : As per rule I need to solve only first 3 subparts.

Q: Given a 2-dimensional function T(x, y) = 3y² + sin(πx) answer the following a) find the expression…

A: Topic - Partial differentiation We are given, T(x,y) = 3y2+ sin (πx) ddxxn= nxn-1ddxsin x =cos x

Q: A particle's acceleration is given by the expression a(t) = 2t3 m/s². The particle was measured to…

A: we need to find the velocity and position of the particle.

Q: (1)=2x+5 y(2)=x^2-8x+17   1. find the value of y(2) at its minimum, and the rate of change of…

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Q: Consider a function f(x) whose derivative f ′ (x) is given below. Find (i) all critical values, (ii)…

A: Given f'(x)=(x−2)3(x−1)2(x+1)

Q: n angle in standard position has its terminal arm passing through (2, 3). Determine the measure of…

A: we will find the required.

Q: What is the equation of the curve passing through (1,5) and whose tangent line at (x,y) has a slope…

A: To find the equation of curve

Q: If the area bounded by y=x² and y=x is revolved about x=3, which of the followin is to be integrated…

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