3. Find a counterexample (any value of x for which the equation is not true) to...
Verify that the equation is an identity. sin x cOS X secx + = sec?x-tan? CSC X Both sides of this identity look similarly complex. To verify the identity, start with the left side and simplify it. Then work with the right side and try to simplify it to the same result. Choose the correct transformations and transform the expression at each step COS X sin x secx CSC X The left-hand side is simplified enough now, so start working...
please answer 1,2 and 3!
1. 2.
3.
Verify that the equation is an identity. (Hint: sin 2x = sin (x + x)) sin 2x = 2 sin x cOS X Substitute 2x = x + x and apply the sine of a sum identity. sin 2x = sin (x + x) (Do not simplify.) Use the given information to find (a) sin (s +t), (b) tan (s+t), and (c) the quadrant of s + t. 3 12 and sint=...
For the equation 3 - 2x = ex - cos(x) 1. Use the intermediate value theorem to show the equation has at least one solution 2. Use the mean value theorem to show that the equation has at most one solution
Question 9 Find all solutions to the equation in the interval [0, 2n). sin 2x - sin 4x = 0 Your answer: O O 51 71 I, 31 111 z' ' ä 'ö' ' ő 31 1171 Oo, ma Clear answer Question 10 Find all solutions to the equation in the interval [0, 21). cos 4x - cos 2x = 0 Your answer: o o, 110 TT 51 71 31 6' 2' O No solution Clear answer Question 11 Rewrite...
1. a) Substitute u = sin(x) to evaluate sin^2(x) cos^3(x) dx. [trig identity sin2(x)+cos2(x) = 1]. b) Find the antiderivatives: i) sin(2x) dx ii) (cos(4x)+3x^2) dx
a) Find the exact value of the slope of the line which is
tangent to the curve given by the equation
r = 2 + cos θ at
. You must show your work.
b) Set up, but do not evaluate, the integral that represents the
length of the curve given by
x = t - t2,
, over the interval 1 ≤ t ≤ 2.
D 4,3/2 y=7
D
4,3/2 y=7
x2–2x-3 Let f(x) = Find the X-value(s) for which the graph of y = f(x) has a horizontal tangent line. x+2
Let x,y ∈ R. Which of the following statements are true. If the
statement is true prove it, if not give a counterexample
a) If x is rational and y is irrational, then x y is irrational. b) If x and y are both irrational then x + y is irrational. c) Ifx and y are both irrational then ry is irrational d) Ifx is rational and y is irrational then ry is irrational.
3. Find the value of x in the following equation: *%2 + 2x/5 = 18 A. X = 255/7 B. X = 2 C. X = 20 O D. x = 1/2
(1 point) A curve with polar equation r = 27 8 sin 0 + 49 cos 0 represents a line. This line has a Cartesian equation of the form y = mx +b ,where m and b are constants. Give the formula for y in terms of x. For example, if the line had equation y = 2x + 3 then the answer would be 2 *x+3. Hint: multiply both sides by the denominator on the right hand side and...