Pim [√x²+x - √x² +4 ] X+∞

Q: (a) fo dx √√3x-x² 2

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Q: c) lim x-0 √x+5-√√5-x x

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

Q: The volume of a cylinder of height 12 inches and radius 7 inches is given by the formula V = 12π².…

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Q: 3- Determine f"(x).. F(x)= cosx cotx

A: This question is related to differentiation, We will solve it using given information.

Q: 1 If A O True O false 1 2 32 is a matrix then A¹ = [13].

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: Solution is here

Q: (E) List the values of all local minima of f(x). If there are no local minima, enter 'NONE'. x x…

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Q: Determine the support reactions at the fixed support. Neglect the size and weight of the beam.

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Q: 1. Evaluate the definite integrals using (a) integration, (b) trapezoidal rule, (c) the mid-ordinate…

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Q: Find a. (2x), a. .(2x) y and b. (2л, -2,-2) 11 Əw at the point (x,y,z) = (2, -2₁ - 2π) if w = x² +…

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Q: A cube with 20-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter…

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Q: position of a moving object is s (t) = 1³ – 31² - 45t-1. What is its acceleration at t=2?

A: Given query is to find the acceleration at indicated point.

Q: 6- For the function y=lnx a- Describe what type of function it is. b- How is the function related to…

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Q: Example:- Solve the equation 1) (3y + e*)dx + (3x + cos(y))dy = 0 3) e* (ydx + dy) + e' (dx + xdy) =…

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Q: 10dz 4z³-4z²+5z

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Q: Water is leaking from a 2 foot tall rectangular tank at 0.1 cubic foot per hour. Suppose that the…

A: let the height of tank be "h"Volume is given by VdVdt=0.1 cu. ft/hrh=2 ftV= 10 cu. ftdhdt=?

Q: What is the equation of the line perpendicular to the function y = x³ + 7x² + 5x-2 at x = 0? O 3x +…

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Q: Given than [(x) f(x) dx = 7 and f (x) da = -5, which of the following is NOT TRUE 6 ® [f(x) dx =…

A: Given that ∫-23fx dx=7 and ∫36fx dx=-5, then to determine which of the following is not True.A…

Q: 3- Find the length of the curves in Exercises 1-4. X = (y3/2/3) - y¹/2 from y = 1 to y = 9

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Q: t If the velocity of a moving object is v(t) =——- 2/2 in meters per second, then what is its…

A: We know that velocity vt = dsdt, here s is the velocity.

Q: Phil wants to design an open box with a square base with a surface area of 400 square inches. What…

A: We need to find dimensions of a box whose volume is maximum.  & volume = x^2 y

Q: Differentiate. 3 y=2x® - 8x2 +21x+ 9 dy dx ||

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Q: (x − 6)²(y+3)² + 36 25 = 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Differentiate. dx y=9* • log 5x (9* • log 5x) =

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Q: 2. In the parametric equation, x = 2t, y = 3t 1, fill the table below. t 0 1 2 3 4 5 X x = 2t y y =…

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Q: 5- A virus is spreading according to the function p(t) = 125(2)¹/4, where p(t) is the number of…

A: This question is related to Functions and rate of change, we will solve it using given information.

Q: Let h(z) tan(5x + 5). Then h' (2) is and h'' (2) is

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Q: Apply the second derivative test to find all relative extrema. (c) f(x) = 1

A: To find the relative extrema first we  find the critical points. The critical points are the values…

Q: 8- The simple expression of the А. 7 b5c8 за B. 7 b5c8 3a5 O A о О в О с O D 21 abc 3ab²c С. IS 7…

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Q: The length of a rectangle is given by 4t - 3 and its height is 2t, where t is time in seconds and…

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Q: Using Rationalizing Substitution S- O In(y) + C O Arctan(y) + C O2Arctan(y) + C O2ln(y) + C dx…

A: ∫dxxx-1Substitute y=x-1→dydx=12x-1→dx=2x-1dy=2∫1y2+1dy

Q: Use the graph to answer these questions. a. Find lim f(x) and lim f(x). X-4* X-4 b. Find lim f(x).…

A: The graph of the function is  To evaluate: a. limx→4-fx and limx→4+fxb. limx→4fxc. f4d. Continuity…

Q: 5. Evaluate the integral 2 c2x x2 (x² + 2y³) dy dx.

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains…

Q: Resolve, using homogeneous equations. dy/dx = - 4x+3y+5/2x+y+7   To reduce equation, consider a…

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Q: A. arcsec(-2) B. arctan - الله ان

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Q: B. By using the n-th root test method, test the convergence of the following series: Σα-Απ n=1 Q.2…

A: Solve the following

Q: Find the area of the shaded region. 4 f(x)=x²-8x³+21x², - 8x³ +21x², g(x) = 6x + 36 The area is.…

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Q: The equation N (t) 500 models the number of people in a town who have heard a rumor 1-49e 0.7t after…

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Q: Let f(u) = ³√u and g(x) = u = 2 + 12x². Find (fog)(1). (fog)'(1) = (Type an exact answer.)

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Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate…

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Q: art 1: Evaluate the following linear equation for the given alues. - 2x - 4 -3 -2 3 5 art 2: Graph…

A: Given, y = -2x -4

Q: 10- 7- 12 3 √9 А. 3 B. V3 О А О в О с O D С. 1 D-I

A: I didn't understand 9th question statement.  What is multiply with 1/125

Q: Evaluate the given integrals. Please Show the complete solution. Then identify the u, du, and other…

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Q: Differentiate. 3 f(x)=x In 5x f'(x) =

A: The derivative of lnx is 1/x

Q: Q.17: Find an expression for the nonhomogeneous ODE whose general solution is given by: y = Ae³x…

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Q: Show that the equation is homogeneous and find its solution. (x2 + 3xy + y2) dx - x2 dy = 0

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Q: O O ΑΠΦ=Φ. True false

A: Let A be any set. We know that,  For any set A, the null set is a union of A. For any set A, the…

Q: T/F: The function y(t) = Pert-rt is a soln to s differential equation dy/dt = ry where P and r are…

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Q: 2. Evaluate f(x) dx if f(x) dx = 5. 2 A. 5 B. -5 C. -2 D. 2

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Q: 1 Let an = 9 √n + ln (n) and bn = Calculate the following limit. (Give an exact answer. Use symbolic…

A: Solve the following