What integration technique can be used to integrate: O Integration Formulas O Trigonometric Substitution Power Formula O Integration By Parts 5√3+x² dx X

Q: (2x²³x+ sin(x2-x) + y ) dx + (x²y-x) dy = 0

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Q: f:R+ → R f is a strictly decreasing function. 3 1 f (x) · f ( f(x) + 2x 4 f (9) = ? 1) 3) 1 6 4) 1…

A: Answer is given below.

Q: 2. f(x) = 3x4 +√4x; f" (1.2) 6

A:

Q: b iff and g are continuous on [a,b] and f(x) z g(x) for all x E[a,b], then f(x) dxz g

A: SOLUTION-

Q: S²(x²-4x² + 324 232) sin(x) 4x⁹ (1+x²)² A) True B) False |dx=0

A: ∫-11x7-4x9+sinx1+x22dx

Q: = Use the Riemann's Criterion for integrability to show that the function f(x) integrable on [0, b]…

A:

Q: Which of the following is not true? A √ in(x²) dx = lim_²in(x²) dx А ₂3 3 dx dx B S²³² √₁ In(x²)…

A: Just use the definition of improper integral of first and second kind and find the required…

Q: VOLUME Example: ◆ The region bounded by the parabola y = x¹/2 y = 1, and x=4, is revolved about y =…

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Q: What substitution should be used to solve the integral O sin u=3x/2 sec u =2x/3 sec u =3x/2 O tan u…

A: We have to solve the integral

Q: If you evaluate the integral expression 12x+1|dx the result is Blank 1 (use fraction or decimal in 2…

A:

Q: Using Simpson's method spaces) √²x² dx for n = 4 is equal to Blank 1 (use 2 decimal places with…

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Q: In evaluating dx , is same as evaluating lim (In(f(x))). Determine the value of f(x) if x=4.6. C-3+…

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Q: For the given function f(x,y)=x²y³+3x³y, find a flay O 2xy3+9x² y O 3x²y²+3x³ O 6xy²+9x² O 2+18xy

A: We have to define the derivative

Q: The population of a city is modeled by the equation  P(t)=335,242e0.25t where tt is measured in…

A: Basic properties of ln are used

Q: Using Trapezoidal method √√x dx for n = 4 is equal to Blank 1 (use 2 decimal places with proper…

A: We need to use here, the trapezoidal rule.  ∫ydx = h/2 [ y0 + y4 + 2 ( y1 + y2 + y3 ) ]  For this…

Q: Test Content Question 9 In evaluating Add your answer 5 dx is same as evaluating lim (In(f(x))).…

A: The integration of the integral is 1/sqrt(x2-9).

Q: Derive the following function 3. y=x√x 4. y = ³√x + ³√x

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Q: iv) in complex number z³. (z)² = |z|².z

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Q: Using Simpson's method √x³dx for n=4 is equal to Blank 1 (use 2 decimal places with proper rounding…

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Q: For the function y =f(x), it was found out that f"(c) = 0. What can be said that x=c? critical point…

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Q: [ f(x) dx = -4 and f (x) da = 10, which of the following is NOT TRUE If f(x) dx = 3 then [₁ f (x)…

A: We can check the false option as below.

Q: Suppose that fn ⇒ f on R and that each fn is a bounded function. Prove that f is bounded.

A: Solution

Q: 5.12 7 ln 3x dx X

A: Is multiple questions are posted we are allowed to solve only 1st question...so please upload again…

Q: [²(x². x7-4x⁹+ (A) True B) False sin(x) (1+x²)² dx=0

A: We have to find the solution

Q: 17) Find P₁0 (x), the Taylor polynomial f(x)= tan¹ (x³) at a=0. P(x) = x²³ - ²¹ +² the function

A: To find the Taylor's polynomial

Q: Using Simpson's method 2 x³dx for n=4 is equal to Blank 1 (use 2 decimal places with proper rounding…

A: The Simpson's 1/3 rule for integration is given by, ∫ab f(x)dx≈Δx3f(x0)+4f(x1)+2f(x2)+4f(x3)+2f(x4)+…

Q: fx cos 2x dx

A: Let's solve given integration.

Q: Evaluate the definite integral number 3 using substitution

A:

Q: 1.) lim f(x) = X→-7+ 3.) f(3) = 5.) f(0) = 7.) lim f(x) = x→0+ 9.) lim f(x) = X→3+ 2.) lim f(x) =…

A: The objective is to determine the limit if it exist.

Q: olve for the general solution using the Power Series. The answer was ready given, you just have to…

A: Please see the below picture for detailed solution.

Q: Solve for the second derivative of the following implicit function

A: We can solve this as follows:

Q: y = √√2x + 7

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Q: 11) Suppose that B, (fix) be the Bernsten polynomial. Then ((B₂B)(t.:x) = (b) x (c) x² (d) No Answer…

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Q: y = (4 + ³√/x)³ 3

A: Inverse function

Q: 4. fx√x - 3 dx

A:

Q: In|x| 10. x A. In |x| + C dx B. In² x + C C. In² |x| 2 + C

A: We need to find integral.

Q: +6 cos(x³) A True B) False |dx=0

A:

Q: -1 (a) cos (b) log5 (25) -√√3 2

A: Solved below.

Q: 2. Given f(x, y) = 12x2x³ + 3y² + 6xy. (i) Find critical points of f. (ii) Use the second derivative…

A: To find out the critical points of f.

Q: Find the length of the arc of a circle of diameter 1010 meters subtended by a central angle of π4π4…

A: Solution ) diameter - 1010 m , angle = π/4 Radius =  1010/2           = 505 m length of arc of…

Q: A sector of a circle has a diameter of 8 feet and an angle of 7 radians. Find the area of the…

A: Let's find area of the sector.

Q: Q2: Find Maclaurin series for the function f(x) = (4-x) (four terms only), then find the error…

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Q: (1) (-³)) = the output value is the same as the input value. Composing a For sin (sin-1…

A: Composing of a trigonometric function with its inverse can be done in a lot of ways.    a)…

Q: Find the augmented matrix for the following system of linear equations. 6x₁ + 8x3 = -8 5x₁7x2 + x3 =…

A: Given system, 6x1+8x3= -8 5x1-7x2+x3= -3 9x1+8x2-3x3=7

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4 cm/min.…

A:

Q: y" + 5y' - 4y = 0

A: SOLUTION-

Q: 37 Find the length of the arc of a circle of diameter 8 meters subtended by a central angle of…

A:

Q: Find the complete solution of e sinx- - Note: fe" du = e" + C dy cos² x=0. dx

A: e-y sin x-dydx cos2 x=0⇒dydx cos2 x=e-y sin x⇒ey dy=sin x cos2 x dx⇒ey dy=sin x cos x·1 cos x dx⇒ey…

Q: Find 12+ 17 +22+27+· ... + 1522 using a technique from this section.

A: Topic = Sequence

Q: A tumor is injected with 0.820.82 grams of Iodine-125. After 1 day, the amount of Iodine-125 has…

A: I have appended the formula used in the solution part of the question