Answer:
−1. 2 x-2 + C
Step-by-step explanation:
Find the arc length of the graph of f (x)=1+4x2 from x=0 to x=2. ... 5Vx+ X + 2x y = 7x² -4V x + 15 y' = 5 14x X Consider the following function. y = X = x3 + 3x2 9x + ... 3 m = -1/3 Find the point of intersection of y = B(x) and its tan ... Define f : R2 → R by f(x,y) := 3 +y. х (a) Find 2(x,y) (u,v) (b) Using the change-of-.
S x* cos(x) dx = u= x² 1 + ... If f is a continuous function and if F'(x) = f(x) for all real numbers x, then ... 1 x secº x dx = (A) x tanx+C. I u I dv. U₂ = cosx. (B) -tanx+c. t x I sec?x duz=-sinx.
Give the definition of the definite integral: ∫ b a f(x)dx = lim n→∞ n. ∑ i=1 f(x∗ ... 2. ∫ 1/2. 0. (1−2x2)−x dx = 2 x −. 2. 3 x3 −. 1. 2 x2. ∣. ∣. ∣. ∣. 1/2. 0. = 2. (1 ... 3x. √ x et t dt y = 3e3x. 3x. −. 1. 2. √ x e. √ x. √ x. = e3x x. − e. √ x. 2x.
Answer:
<em>Part 1 : Equation: ( 3x - 9 ) + 30 + 24 = 180,</em>
<em>Part 2 : Value of x ⇒ 45°,</em>
<em>Part 3 : Measure of Angle U ⇒ 126°</em>
Step-by-step explanation:
~ Part 1 ~
We know that ∑ of angles in a triangle is 180;
m∠ U + m∠ V + m∠ W = 180°,
<em>Equation: ( 3x - 9 ) + 30 + 24 = 180</em>
~ Part 2 ~
Now let us simplify the equation above to solve for x;
3x - 9 + 30 + 24 = 180,
3x - 9 = 126,
3x = 135,
x = 45 degrees ( ° ) ⇒
<em>Value of x ⇒ 45°</em>
~ Part 3 ~
If it is known that m∠ U ⇒ 3x - 9;
m∠ U = 3 * ( 45 ) - 9,
m∠ U = 135 - 9,
m∠ U = 126 degrees ( ° ) ⇒
<em>Measure of Angle U ⇒ 126°</em>
Step-by-step explanation:
Let Bridget, Jim and Krutika's shares be 4x, 5x and x respectively.
According to the given information:
4x = x + 39
4x - x = 39
3x = 39
x = 39/3
x = 13
5x = 5*13 = 65
Hence, Jim got 65 sweets.
Step-by-step explanation:
1/2 represents every fraction, where the denominator (bottom part) is twice the numerator (top part).
like 4/8 or 6/12 or 128/256 or ...
what do we need in the denominator to calculate with 15/16 ?
the same : 16.
and what is half of 16 ? 8.
so, we need the 1/2 based on 16th = 8/16.
so, the dog ate 8/16 (1/2) of the original 15/16.
what was left was
15/16 - 8/16 = 7/16 pound
