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1. ### Let P(4, 1, −5) and Q(6, −3, −1) be two points in three-dimensional space.?

...8x + 16 + y^2 - 2y + 1 + z^2 + 10z + 25 = 36 x^2 - 8x + y^2 - 2y + z^2 + 10z = -6 (c) (6 - 4, -3 - 1, -1 - (-5)) = (2, -4, 4) = 2i - 4j + 4k

2 Answers · Science & Mathematics · 29/04/2019

2. ### Find all solutions to the following equation: sinx csc x = –2 sin x?

...an integer x = 2π - (π/6) + 2kπ x = (11π/6) + 2kπ x = π + (π/6) + 2kπ → where k is an integer x = (7π/6) + 2kπ → C) answer

4 Answers · Science & Mathematics · 11/06/2019

3. ### Multiple choice calculus question?

...point at which the derivative changes sign. This has ONE. C) only for one particular value of k D) inflection point is a point on a continuous plane curve at which the curve...

1 Answers · Science & Mathematics · 19/06/2019

4. ### Help with growth exponentially?

... you, but when I see "decay constant", I think of the k in this equation: A(t) = a e^(kt) Where A(t) is the amount...

2 Answers · Science & Mathematics · 29/04/2019

(a) domain of f (-∞, ∞) (b) range of f [-1,∞) (c) x-intercepts : 2 and 4 (d) y-intercept : 8 (e) f ...at x=3 (i) the relative minimum of f is -1 (j) f(-4) = 8 (k) The values of x for which f(x)=3 are 1...

2 Answers · Science & Mathematics · 06/09/2019

6. ### Differential equations/constant solutions?

Note the following: 1 - 2[1/2 + Ce^(-2t) ] = 1 - 1 - 2Ce^(-2t) = -2Ce^(-2t) = dy/dt Basically, you wanted to show that if we plug in the given y(t) into the right side of the equation, we get its derivative.

2 Answers · Science & Mathematics · 08/05/2019

7. ### 4x^2-4y^2-4x+8y-11=0 Is a hyperbola. Find center, verticies, foci.?

...by 8 (x- (1/2))^2 - (y-1)^2/2 = 1 has center (h,k) = (0.5, 1 ) semi major axis = a = sqrt(2) semi minor axis...sqrt(2) , 0) = (0.5 + sqrt(2) , 1) and (0.5 -sqrt(2) , 1 ) c^2 =a ^2+ b^2 = 2 + 2 c = 2 foci (2.5,1 ) and...

4 Answers · Science & Mathematics · 29/04/2019

8. ### How do Prove this? I don't even know how to approach this problem. Any help is appreciated.?

...the equation for the parabola in vertex form: y = (x - h)² + k We have: y = x² + 6x + 10 To complete the...coefficient in front of x --> 6 b. Halve it --> 3 c. Square it --> 3² = 9 d. Add it and...

2 Answers · Science & Mathematics · 15/06/2019