35 If fis continuous and the nearest integer f(x) dx 126 , find f(7x) dx . Please round the answer to

Q: > Evaluate the Antegral dx ax45x +2

A: Rewrite the given integrand as follows. 32x2+5x+2=32x+1x+2=22x+1-1x+2

Q: Sketch a graph of y = 8 on [- 5, 4] and use geometry to find the exact value of int -5 ^ 4 8 dx.

A:

Q: find f'(x) if f(x) = tanh(ln x) +sin2(2x)

A:

Q: Find the local extrema of the functionf(x)=x/2−arctanx.

A:

Q: | Example 8.12. Use the Trapezoidal rule to estimate the integral exª dx taking the number 10…

A:

Q: If f(x) = e*sinh x, what is f'(x)? e*(cosh x- sinh x) O Option 1 Option 2 e*(sinh x - cosh x) 2e2x…

A:

Q: dx

A:

Q: Find the length of the graph of y = (1/2) cosh 2x from x = 0 to x = ln sqrt(5).

A:

Q: Use the Midpoint Rule with n = 4 to estimate (x² + 1) dx %3D

A: Given:        ∫02x2+1dx       n=4 , a=0, b=2   Midpoint Rule…

Q: (sin(x)²) dx Is it converges?

A: Given integral is ∫0∞sin(x)2xdx firstly we will find the simplest form of integration. We have…

Q: 3 dx by Simpson's rule breaking it into 6 intervals. Evaluate 2+x?

A: We have to evaluate the integral ∫2532+x2dx by Simpson's rule-breaking it into 6 intervals.

Q: what is the derrivative of y^3 + y^2cos(x) = x^3 -3x and what points in the function for dy/dx does…

A:

Q: If f(x) = x cosh æ + 3 sinh x then f'(x) =

A:

Q: Evaluate I ta tanh x ln(cosh x) dx.

A:

Q: How do you use a Maclaurin serieis aproximation to estimate (Provided picture). Thanks!

A: First find the Maclaurin series for e^(x^2) using the Maclaurin series of e^xPlug x^2 in place of x.

Q: Find the length of the graph of f(x) = ln sec x from x = 0 to x = r/6.

A:

Q: Select the correct answer. What is the value obtained by using left endpoints with n= 4 subintervals…

A:

Q: Evaluate fx" In x dx for n ‡ −1. Which method should be used .-1 to evaluate fx-¹ In x dx?

A: We have ∫xnlnx dx   , n≠-1 Integration by parts is ∫fg dx=f∫g dx-∫ddxf∫gdx dx Using integration by…

Q: Find the extreme values for f(x) = sin(x) + cos(x) on the interval [0, 2π].

A: The given function is f(x)=sinx+cosx   and the interval is 0, 2π. We have to find extrema on the…

Q: The City Council proposed to utilize government-owned land with an area of 21,600 square meters.…

A: We need to find rate at which COVID cases is increasing.

Q: 4. f(x) = -sin Зл PS = DCP 11 VS =

A: We have to find the amplitude, phase shift, vertical shift and period of the given function.…

Q: Find dy/dx if f(x) = csc (x³ + x + 1)

A: Derivative of the function

Q: 8 Use right endpoints and 3 intervals to estimate S dx. 2

A:

Q: If f(x)=tanh^-1 square root x to the fourth power then f'(x)=

A:

Q: 2x dx by taking n = 4 1+ x Use trapezoidal Rule to evaluate

A: trapezoidal rule

Q: 4. Find the length of the arc of f(x) = ÷ (1+ x²)ē between x = 0 and x = 3. %3!

A:

Q: 4In(Arctan x) = 1-y

A:

Q: Find the absolute extrema of the function on the closed interval. y = 9 cos x,    [0, 2?]

A:

Q: Find antiderivative of f(x) = cosx

A: We have to find antiderivative (Integral) of  f(x) = cosx  i.e ∫ cosx dx

Q: (b) YOUR TURN 4 Find dx. Vx f(x) deriv for in

A:

Q: 2x dx by taking n = 4. 1+x Use trapezoidal Rule to evaluate

A: on solving this we get

Q: What values of a and b maximize the value of (x – x²) dx? |(Hint: Where is the integrand positive?)

A:

Q: Estimate 4 - x dx using midpoints for n= 4 approximating rectangles. 2 4 – x dx is approximately

A:

Q: evaluate using the appropriate method or combination of methods.

A:

Q: Solve the problem. Suppose that fis continuous and that " H2) dz-0 and S Ka) dz = 4. Find - 60) dx .…

A:

Q: 3:Use Gamma & Beta properties to evaluate : f (In x)³ dx

A: The gamma function is Γ(z)=∫0∞e-ttz-1dṭ The Gamma function is a non-integer generalization of the…

Q: Find a nonzero value for the constant k that makes th tan(kx) x 0 Continuous at x = 0.

A:

Q: Evaluate dx 2. f 1-tanh x

A:

Q: 2. Use the Midpoint Rule with n = 4 to estimate (x² + 1) dx %3D

A:

Q: Estimate the value of df/dx for f(x) = root 8x at x = 3, using any method

A: To find the derivative of f(X), differentiate with respect to X on each side.

Q: 5 f(x) %D sin x

A: Given  f(x) = 5sin x We have to check the continuity of the function on the interval [0, 2π].

Q: 4. Evaluate if they exist: (a) sinh x dx (b) lim , sinh x dx r+00

A:

Q: 2 sin x f(x) = 1+2cosx 5. Pvaluated at x = 1 rad

A:

Q: Limit 0 to 2 √x dx

A: We have to find the definite integration: ∫02xdx We know the formula of integration, ∫xndx=xn+1n+1+C…

Q: Approximate S“ In x dx using three rectangles of equal length and left end points. Is your estimate…

A: The given integral ∫1e2ln x dx, three rectangles and left end points.

Q: If df between= 3, and df within=60, if alpha is set at 0.5, then f crit =

A: Given:Degrees of freedom between = df1 = 3Degrees of freedom within = df2 = 60Level of significance…

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to x*+20x-126x + 2x +3 dx…

A:

Q: dx by taking four 1+x Use Simpson's Rule to obtain the approximate value of intervals.

A: Given: ∫0111+x2dx Definition: If f(x) is continuous on [a, b] then Where, ∆x=b-an

Q: alue of A can be calculated based on f(x)dx = 1.

A: The given probability distribution function is,