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Q: 11. x² +1 Find +3x+1 -dx

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Q: All continuous functions have antiderivatives. (A) True B) False

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Q: Q4) Find the maximum eigen value for the system 4 = x ¹ (0) = (1 1) 3] with initial vector

A: This is a problem related to matrix operation. Based on the general formula and concept we will find…

Q: C. Graf the function of y-5x" if n=3 1. O 1 2 2. y = ax",

A: let see how the graph of y =5x3 looks like

Q: f sech³x tanhx dx

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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: In x + C Verify that every member of the family of functions y = x Answer the following questions.…

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Q: f(x) = In X X

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

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Q: What is the slope of the tangent line to the graph of x^2-4y^2 + 2x + 4y = 8 at (4, -2)?

A: According to our guidelines In case of multiple questions we are supposed to answer the first…

Q: y dx y = 9x+8 Find dx

A: The given function is: y=9x+8   As we know that; The Sum/Difference Rule: f±g'=f'±g' The Power Rule:…

Q: 12) (x − 8)²(y+7)² - + 100 25 (x + 2)²_ (y − 1)² 4 64 YG X 14) = 1 G = 1

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Q: 2. y = x³, y = 4x²

A: Given query is to find the area under the curve.

Q: dx sinh3x tanh3x S

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Q: 2. On the wall of Mr. Piamonte's house, a 6 meter picture was hung so that its location is 5 meters…

A: 2.

Q: 1. The value of (1.000) 27 is O 327 0.327 O 1.000 O Non of them (242²-121²) 242*121 O 1 O 2/3 O 11/3…

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Q: -7x Find an equation of the line tangent to the graph of G(x) = e The equation of the line is y=. at…

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Q: 1. Represent the given numbers on number line. a. -2 b. 45 c. 10 d. -6 e. 23 f. O g. -9 h. -10 2.…

A: We have to represent the given numbers on number line.

Q: -28 5. How is can be express as rational number with numerated the number 47 84 O 4/7 O-4/12 - 4/7…

A: Given query is to re write the expression as numerator with 4.

Q: Parameterize a vase formed by rotating the curve z = 6√x – 3, 3 ≤ x ≤ 8, around the z-axis. Use s…

A: Given curve z=6x-3, 3≤x≤8 x(s,t)=s costy(s,t)= s sintz(s,t)=6x-3

Q: y" — 5y' = x − 2, when x = 0, y = 0, y' = 2

A: To find the particular solution for the given DE.y''-5y'=x-2, when x=0, y=0, y'=2

Q: Graph the given function and then find the specified limits. If necessary, state that the limit does…

A: This question is based on function and limits

Q: 6. dy dx 4x + 3y 2x+y

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Q: eu [(= + e (+ + e" Inu - e" ln x) du

A: integration

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: 2x - 6 Let f(x) = if x 5 -4x+ 20 Find the following limits: 1. lim f(x) = x-5 2. lim f(x) = x-0…

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Q: Find an equation of the line tangent to the graph of f(x) = a) at (1,1); b) a (-37) at a) The…

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Q: 5 25 1+2+20+20+ 4 16 64 an = ||

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

Q: If f is continuous on [a,b], and f(x) > 0 then (A) True B) False √√° √F(x) dx = ₁ √ [F(₂ a - f(x) dx

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

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Q: Find the area under the given curve over the indicated interval. y=x²; [0,5] The area under the…

A: Given: Now, we need to find the area under the given curve.          Area = ∫05x2dx          =x3305…

Q: 7+(7) 2 7. If А. 2 О А О в О с O D = 1 then x= В. 4 с. -1 D. 0

A: Given query is to find the value of x.

Q: (b) Find the value of each convergent improper integral and show why each divergent improper…

A: We need to calculate the improper integrals and then conclude it as convergent or divergent.

Q: 3. The region bounded by the ellipse 16x² + 9y² = 144 is revolved about the x-axis. Find the volume…

A: We have to find the volume.

Q: Find a formula an for the n-th term of the following sequence. Assume the series begins at n = 1. 1…

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  it is given that…

Q: Apply the second derivative test to find all relative extrema. - 5)² (a) f(x)=(x

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Q: f(x) = x-2 (x + 2)² Find the maximum and minimum limits of the function:

A: Given problem:- f(x) = (x-2)/(x+2)2 Find the maximum and minimum limits of the function

Q: If f f(x) dx = 2, and f f(x) dx = -5, then, So f(x) dx =

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Q: (ylny − e¯xy)dx + ( + xlny) dy = 0 -

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Q: A ladder 25 ft long rests against a vertical wall. If the bottom of the ladder is sliding away at a…

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Q: 16) Compute the first and second-order partial derivatives for f(x, y) = x²y³ + x + y² − 3

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Q: Evaluate 3 (9x² - (0x+6) dx 2

A: Given query is to find the value of the integral.

Q: Determine the rules of differentiation used and solve the derivative of the function.

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Q: Find the 2nd and 3rd derivative of the function y'= 3x^2y^2 with respect to dy/dx

A: Find the 2nd and 3rd derivative of the function y'=3x2y2with respect to x

Q: If the product of two positive numbers is 300, Minimize the sum and the second number and trice of…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x +…

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Q: Given the graph of the function y = f(x) below, identify which of the following statement is/are…

A: The limit definition of derivative of a function at x=a is given by  f'(a)=limx→af(x)-f(a)x-a. For a…

Q: If cos(0 - π/2) 0.54, find sin(- 0)

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Q: 2. S dx x²-x+2

A: Given problem:-