1. Let S = span{sinạ x, cosa x}. Determine whether (a) 1, (6) sin 22, (c)...
Problem 6 Evaluate: dx 16 - 22 Hints: sin²x = 1 - cos(2.0) and sin(2x) = 2 sin c cos r. 2 (Show all details.)
If f(x) = 2x(sin x + cosa), find f'(x) = f'(1) -
Let V = M2(R), and let U be the span of
S =
2. (a) Let V = M,(R), and let U be the span of s={(1 1) ($ 3). (3), (1 9). (1) 2.)} Find a basis for U contained in S. (b) Let W be the subspace of P spanned by T = {2} + 22 – 1, -2.3 + 2x +1,23 +22² + 2x – 1, 2x3 + x2 +1 -2, 4.23 + 2x2 - -4}. Find...
Determine whether p(x) = −x^2 + x + 2 is in span{x^2 + x + 1, 2x^2 + x}. Please explain the steps.
5. Prove the following identity. (sin x + cos x) = 1+sin 2x 6. If cos(x) = , and x E QIV , find the exact value of each of the following. a.sin (2x) b.cos cos()
11) Find ? sin2 x cos2
xdx.
11) Find S sin? x cosa xdx.
a.) Write a C++ program that calculates the value of the series
sin x and cos x, sin 2x or cos 2x where the user enters the value
of x (in degrees) and n the number of terms in the series. For
example, if n= 5, the program should calculate the sum of 5 terms
in the series for a given values of x. The program should use
switch statements to determine the choice sin x AND cos x, sin...
Determine the centroid of the bracket shown knowing the radius of the hole, r, is 0.5 in, and the height, h, is 2.2 in Glve the answer to the nearest .001 inch, An integral table ( x values are all in radians) COS +2) dx = sin( + 2x 9.81859 in? -2 cos) + 2) dar sin + cosa O in -2 +2) da 2 sin + 2 x cosa 10.9747 in' 2 + 2 dir sin 24 + 2...
1. cos 4 x-sinº x = cos 2x 6 6 2. sin x + COS x = 1-3sin ?x cos” x 3. cos 2x = 1-tanx 1+tanx 4. 2sinx cosx = cos(x-y) – cos (x+y)
Verify the identity 1 - sin 2x cos 2x cOS X - sin X COS X + sin x Choose the sequence of steps below that verifies the identity OB. OC. 1-sin 2x cOS 2x 1-2 sinxcosx OA 1 - sin 2x cos 2x 1 - sin X COS X cos2x - sin 2x (cos2x+ sin 2x) - 2 sin x cos x cos2x - sin 2x (COS X - sin x)(COS X - sin x) (COS X + sin...