Find the vertex, focus, and directrix of the parabola given by the equation. (x - 5)2 = 8(y + 4) vertex (x, y) = focus directrix (x, y) = Sketch the graph

Q: Find sin and tan 0 if cos 0=13, assuming that 0 ≤ 0 < π/2. 0 85 sin 0 = tan =

A:

Q: Question 1: interpret and solve the initial-value problem: d²x dt² + 9x = 5 sin 3t, x(0) = 2, x'(0)…

A:

Q: ​Find a unit vector in the direction of w=

A: Given that the vector is w=&lt;-4,-6&gt; to find the unit vector in the direction of w.

Q: Find the angle of least positive measure (in degrees, not equal to the given measure) that is…

A: To find the angle of least positive measure that is coterminal with following angle.

Q: Convert the angle in radians to degrees. 13π 9 13п 9 radians radians 0°

A: I am going to solve the problem by using some simple trigonometry to get the required result of the…

Q: Convert the degree measure to radians, correct to four decimal places. Use 3.1416 for pi 19 °10’

A: To convert the following degree measure to radians.

Q: In right triangle PDR, Angles P and R are the acute Angles. If cos = square root 33/7, cos R =

A: Cos P=√33/7

Q: The pendulum on a grandfather clock swings from side to side once every second. If the length of the…

A:

Q: If Khalid chooses the point (-9,4) on the circumference of the circle, determine the primary…

A: If (x,y ) is a point on the circumference of a circle with radius r then and

Q: An equation shown below for the terminal side of an angle in standard position is given with a…

A:

Q: Find the remaining trigonometric ratios of ? if sec(?) = -11/10 and sin(?) is positiv

A:

Q: find a if A=8a

A:

Q: Draw a line that is perpendicular to the grap and goes through the point (2,5). Y+

A: The given graph is a vertical line, therefore the line perpendicular to it is a horizontal…

Q: 1. Let d: RxR → R be defined to be d(x, y) = |arctan(x) - arctan(y)]. Show that d is a metric on R.…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: A light truck with manual transmission has a circular brake drum with a diameter of d = 310…

A:

Q: f(x) = F"(x) = x-2, x > 0, f(1) = 0, f(4) = 0

A:

Q: gaiwollol Kongre 53. Grade Resistance Approximate to the nearest tenth of a degree for the given…

A: We have given,Grade resistance F and vehicle weight W,where F = W * sin θ(a) F = 350 lb    W = 6000…

Q: sin 90° +2 cos 180° sec 180°-3 CSC 270°

A:

Q: Find sin(?) and tan(?) if the terminal side of ? lies along the line y = -8x in quadrant II.

A:

Q: In this example, how would I find the degree angle between two and three in order to use the lawof…

A: There can be two placements of the three points as following:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(t)√1 + cos(t) dt 0

A:

Q: Find the slope of the line in each graph below AND write the equation for each graph. 10 101 3. -10…

A: To find the slope of the line in  each graph below and to write the equation for each graph.(3) (4)

Q: Let x represent one number and y represent the other number. Three times a first number decreased by…

A: Let x represent one number y represent the other number.Three times the first number decreased by a…

Q: tan α = (a) sin (a + B) √3 <x< x; cos ³= 2,0<B<Z ₁0<< (b) cos (α + B) (c) sin(a-B) 12 T 5'2 π (d)…

A:

Q: Trigonometry    Find the perimeter and area of a polygon whose vertices are at (1, -4), (4, -1),…

A:

Q: Use algebraic procedures to find the exact solution(s) of the equation below. 10³+x=810 x= -3+log810…

A:

Q: ) Which function would you use to model f (x) without needing to use a phase shift? b) What is the…

A: We have to find- which function would we use to model f (x) without needing to use a phase shift,the…

Q: Use part one of the fundam g'(s) - tal theorem or calculus to find the derivative of the fo g(s) = -…

A:

Q: 14. Find the radius of a cylinder with a height of 10 inches and volume of 950 in 3 -πr ² h) ㅠ…

A: Volume of the cylinder is given as follows Where V is the volume of the cylinder r is the radius of…

Q: I have no clue how to go about solving this please set up a separate example so I can follow along…

A:

Q: H|60 and tan B = If sin A == trigonometric functions? cos (2 A) ✓tan (A + B) 7 where A and B are in…

A:

Q: Wrapping Function Exercises 59-66: Checking Symbolic Skills Use the wrapping function to determine…

A:

Q: (e" -e¹"), then write: e¹ and e¹*. 1 If cos(x)= os(x) = -(e* + e^ª) and sin(x) = -— (e“ - e²"), e™“)…

A: We have to find the values of

Q: The minute hand of a clock is 9 inches long and moves from 12 to 3 o'clock. How far does the tip of…

A: Given: The minute hand of a clock is 9 inches long and moves from 12 to 3 o'clock. To Find: How far…

Q: Find the six trig functions and the other leg

A:

Q: Suppose that (a) (fg)'(5) (b) (-) (5) (c) (²) (5) X and g(5)- 1. Find the following values.

A: Suppose that .To find the following:

Q: 10. Draw a line that is parallel to the given line on the graph and goes through the point (5,-1).…

A:

Q: Vector V with Magnitude 11 VII = 3 V = gven magnitude / Same Sane direct Direction U=(-24,77 ion asu

A: The vector V having magnitude a and in the direction of U is given by

Q: Prove the identity. cotx (1-cos2x) = sin 2x

A:

Q: Find the remaining trigonometric ratios of ? if sin(?) is given and ?  QIV. sin(?)= -7/sqr root of…

A:

Q: Graph the trigonometric function y=cos, and use the graph to find the exact solution to cosz=0.5,…

A: To graph the trigonometric function , and by using the graph to find the exact solution to .

Q: 16. Suppose you look at a tree from afar and note the angle of ele- vation is 42°. From that point,…

A: Given that,

Q: The graph below is an example of a periodic graph. 3 100 50 4₁ -50 -100

A:

Q: 6. Simplify 343

A: Solution is following in step 2.

Q: Write an equation for a line with the given slope and contains the given point. 1. m 3 & (1,5) 2. m…

A:

Q: What is the solution of the system? a. (2,-10) b. (-2,10) -x+3y=1 -9x-3y=-21 C. (-3,2) d. (3,-2)

A:

Q: If sin A = - and tan B trigonometric functions? Functions: cos(2 A-2 B) sin(2 A) where A and B are…

A:

Q: The bearing from A to C is S 53° E. The bearing from A to B is N 81° E. The bearing from B to C is S…

A:

Q: 2. Find the length of the missing side. If necessary, round to the nearest hundredth. b a. 136.53 c.…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Evaluate the following without using a calculator s−¹ (cos (5)) 65 cos-1

A: