2 3 4 To find the blue shaded area above, we would calculate: f(x)dx = area a Where: a = b = f(x) %3D Area = II 3.

Q: dx dy (3) x2. Va = 3 x%3D dx

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: L, sgn(x+ 1) dx = 1. 0 2. 2 3. -2 4. 1

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Q: Evaluate: - / (e* -e*)dx e ¯X+C 2 A | B) None cosh x +C 1 - sinh x +C 2 D E sinh x +C F -cosh x + C…

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Q: (3y? + 2)2 = 1 and y(-1) = 1 What is x when y = 2? %3D dx

A: solve the differential equation by separating the variable and integrate it.

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Q: dx (cosh x + sinh x)5 1 A) e5x + c. B) Fe-5x + c. + xg 5 + c. C) 5e5x + c. D) -5e-5x + c. + c. 1 E)…

A: Using formulas of coshx & sinhx

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A: If the given differential equation is of the form : yf(x,y) dx + xg(x,y) dy = 0and, Mx - Ny ≠0 then,…

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Q: cosh (2 m(x)) dkr (A) 를 + +c (B) 0 (C) (D) sình(2 m(r)) +e (E) है - c

A: Solving the problem by finding the value of the integration.

Q: Perfo Determine the antiderivatives of the following 1. S sec24x dx 2. S(tanx - 1)2²dx dx 3. S;…

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Q: 3) S, f(x)dx = 17 and f(x) = 2.4 , find , f(x)dx. %3D

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Q: Solve the following problem Pu + dx2 = 0, 0 < x < L, 0 < y < H ду? ди ди (0, y) = 0, (L, y) = 0, dx…

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Q: 2 1 2 3 4 To find the blue shaded area above, we would calculate: f(æ)dx = area Where: a = b f(x) =…

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Q: 4.2 Apply the appropriate method to calculate the following: x5+ I = S = s** dx x2 -4

A: Given  I=∫x5+x4-8x2-4 dx

Q: 3.2 The value of e-0.5*dx by using three-segment trapezoidal rule is most nearly 1.1

A: The complete solution is in given below

Q: Use the trapezium rule, with 4 strips, to estimate ? e−x2 dx on [0, 2]. What is the maximum error?…

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Q: C 5 4 3 2 1 1 1 2 3 4 5 To find the blue shaded area above, we would calculate: J. f(x) dx = area…

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Q: Find d^2y/dx^2 x=5(t+sint), y=5(t-cost)

A: To determine the derivative of the parametric equation.

Q: 1 a 3 2 1 a 1 To find the blue shaded area above, we would calculate: b Where: f(x)dx = area 1 2 3 4…

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Q: 36 dy dx dy 0 y 6

A: see 2nd step

Q: 4 3 1 2 3 4 To find the blue shaded area above, we would calculate: f(x)dx area Where: a = b = f(x)…

A: GIVEN DATA : Graph                           TO FIND : (a). a=___ &amp;  b=____…

Q: = For a given table 2 5 8 11 13 18 y 4 8 d' (a) Find the value of - dx at x=2 and x= 8 using forward…

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Q: dy dx for X fer xiny g y cosk COSK 2x

A: Solution: Consider the given implicit function is: xsiny + ycosx = 2x Differentiating with respect…

Q: 3. 1 1 2 4 1 To find the blue shaded area above, we would calculate: | f(x)dx area а Where: a = b :…

A:

Q: 1 3 2 + To find the blue shaded area above, we would calculate: b ľ f(x) dx = area Where: a = 2 3 4…

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Q: r1.25 x2 dx with h=0.25. 1+x3 Using numerical methods find the value of

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Q: |(2 f(x)+3) dx=19 f(x)dx then equals?

A: ∫afx+bdx = a∫fxdx+∫bdx

Q: x+

A: We find solution of exact differential equation

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

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Q: 7 dy find at x= 1. dx If y = 6x + dy at x = 1 is The value of (Simplify your answer.) xp

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Q: 4 1 1 4 1. To find the blue shaded area above, we would calculate: f(x)dx = area Where: a = b = f(x)…

A:

Q: 4. Find the general solution for the DE below: a) = x b)= 3r²-1 dx 2s

A: Seperate the Variables before applying the integral.

Q: 4 3- 1 2 3 1. To find the blue shaded area above, we would calculate: f(x)dx = area Where: a = b =…

A: To find area under the curve f(x) in the interval x∈a, b we have, Area=∫abf(x)dx Equation of line…

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Q: III. Exponential 1. [(et – e-t)²dt 2. S(1 – 2etanx)sec²x dx

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Q: 2- 1 2 3 4 To find the blue shaded area above, we would calculate: f(x)dx = area Where: a = b = f(x)…

A: To find the blue shaded area.

Q: L, sgn(x- 1) dx = 1. 0 2. 2 3. -2 4. 1

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Q: 18. A pH of 7. of 7, while dioxide in presented the lake's A) 4.0 B) 5.0 C) 5.7 D) 7.5

A: It is an important part of statistics. It is widely used.

Q: The equation below follows from the integration by parts formula by replacing u by  f(x)  and v by a…

A: Recall the following fact.

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Q: L, f(x)dx + [° f(x)dx = 5. Si f(x)dx – Sº f(x)dx = 4.

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Q: 4 | f(z)dx 14 what is 3 | f(2)dz? Given that 4 answer

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Q: Given the graph of y g(x). y 2 3 4 -1 -2 -3 4.1 What is the area enclosed between the graph of g,…

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Q: Find an upper bound for the error in estimating (5x3 + 2x)dx using the Trapezoidal Rule with n = 10…

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Q: C 10 A 3 2- 1 1 2 3 4 To find the blue shaded area above, we would calculate: [1(x)d f(x)dx = area…

A: As shown in diagram, lower limit is 1 and upper limit is 2, Therefore a=1b=2

Q: Suppose y' is proportional to y and y(0) = 10 and y(1) = 20. For what value of t does y(t) = 25?…

A: Differential equation variable separable

Q: Ac AVify 2. Sóle and compare the following definite integras. Show your solution 13x dx S Scanned…

A: Recall: ( Properties of the definite integral ) ∫abf(x) dx=- ∫baf(x) dx ∫abf(x) dx=∫acf(x)…