a)\int_{0}^{2}\frac{\log _{2}(x+2)}{x+2}dx b)\int_{\ln 4}^{\ln 9}e^{x/2}dx Find the derivative of y with respect to t.y=2^{\sin 3t} 1. Evaluate the integral. \int_{-\frac{\pi}{4^{\frac{3\pi}{48\sec \theta \tan \theta d\theta \\ a. -8\sqrt{2}...
Integration of sec x The value of cos 15 To get the value of Cos 15° degrees, consider the formula for compound angles. Cos(A – B) = cosA cosB – sinA sinB Substitute the values A = 45°, B = 30° Problems involving sin 15 Problem No. 1: Find the value of sin 15° + si...
How to find sin(x) given sec(x)? Does secx = cos^{-1}x? How do you simplify 1 + sec^2(x)? How do you prove (tan(x) + 1) / (tan(x) -1) = (sec(x) + csc(x)) / (sec(x) - csc(x))? If sec(x) = 7, what is sin(x)?
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Step 2: Use definitions to find the remaining trigonometric functions. {eq}\sin(\theta) = \frac{3}{5} {/eq} {eq}\tan(\theta) = \frac{3}{4} {/eq} {eq}\csc(\theta) = \frac{5}{3} {/eq} {eq}\sec(\theta) = \frac{5}{4} {/eq} {eq}\cot(\theta) =...
Find a direction vector for a line which is perpendicular to 3x +7y-21=0 The base of a triangle is decreasing at the rate of 3 ft/sec, while the height is increasing at the rate of 4 ft/sec. At what rate is the area of the triangle changing when the base is 20 ft and the h...
Hello, Can this expression be further simplified? I have tried simplify and collect functions. syms s Vpo Von Dp Dn ws Lp Cps Ll Lm Vsecm Isec_real Isec_imag Isec_abs Thetasec Ix_real Ix_imag Ix_abs real Expression = (2*Ix_imag*Lm*Vpo*Cps^2*Isec_abs^2*Ll^2*ws^7 + 4*Ix_im...
There is also another way to debug formulas using the function key F9. F9 is especially useful if you have a feeling that a specific part of the formula is the issue, this makes it faster than the "Evaluate Formula" tool since you don't need to go through all calculations to find the...
meters long and goes down at an angle of 36°. Now we can calculate how much vertical and horizontal space this slide will take. We are basically in the same triangle again, but now we know theta is 36° and r = 4. Then to find the horizontal length x we can use the cosine. We...
t1 = 0.25; % Final time (sec) t = linspace(t0 , t1 , (step+1)); [t,z1] = ode45(@(t,z) MYODE(t,z,c0,psi_dot,psi_ddot),t,z0); where c0 are the constants passed into the function, psi_dot and psi_dot are the time series data. ...