5. a) Show all your work. Find the vertex of the parabola defined by 1 -√x²+2x=4 f(x) = 3 b) Is the vertex a minimum or a maximum? How do you know? c) Without finding them, how many x-intercepts does the parabola have? How do you know?

Q: A plane going 185mph at a bearing of 220° is hit by a 35mph wind bearing due East (90°). Find the…

A: We have, Plane velocity: 185 mph at a bearing of 220° Wind velocity: 35 mph due East (90°)

Q: find the exact value of cos(pi) in simplest form w rational denominator

A:

Q: Prove that sin 0 2 2 $9² COS = 1 - sin 0.

A:

Q: Use the Pythagorean Theorem to find the length of the missing side of the right triangle. Then find…

A: Given: We are required to find: The length of the missing side of the right triangle and value of…

Q: Use the two right triangles on the figure below to: y=55 60° Y X 30° a) Express the sine, cosine,…

A:

Q: Draw an angle with the given measure in Standard position. 872 3

A:

Q: 2 -2 K

A:

Q: n Find the indicated side or angle. Round Side lengths to the nearest tenth and angles to the…

A:

Q: 7. An isosceles triangle has two sides of length 14.7 cm and two 54° angles. What is the area of the…

A: An isosceles triangle has two sides of length 14.7 cm and two 54 degree angles. What is the area of…

Q: Find the dot product of the following vectors and 7. u. V = Question Help: Video Submit Question

A: Use the product rules of the vector

Q: Solve AABC by using the given measurements. Round measures of sides to the nearest tenth and…

A: Given: a = 9 and c = 12

Q: Calculate √-4-i. There should be 2 solutions. Select the solution with smallest positive radian…

A:

Q: A polar graph is shown. KIN M 3π 2 Which of the following equations represents the graph?

A: We need to find correct option.

Q: (b) The following shows the graph of the parametric equations: x = 3t¹ + t²+1, y = t³ - 2t 1 -1…

A: **As per our guidelines, we are supposed to answer only one question at a time. Since you have…

Q: 12. J dx COSX sin² x

A: We have to find the value of the integration using antiderivative of the trigonometric function.

Q: Sketch the curve of the parametric equation.   x=4sin t/2, y=4cos t/2.

A: we know that sin2(θ)+cos2(θ)=1 we use this information to sketch the graph of the given parametric…

Q: Use reference angles to find the exact value of the following expression. tan 330° ... Select the…

A:

Q: Given the Vectors a = 5i - 8j and b = -16i +11j what do we know about the vectors

A:

Q: Use the triangle shown to the right to evaluate the following expression. If necessary, express the…

A:

Q: Analyze the polynomial function f(x) = x²(x-3)(x+3) using parts (a) through (e). (a) Determine the…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Expand 5cos^4(2pi*t) into the form 5/8(4cos(4pit)+cos(8pit)+3)

A: Expand 5cos^4(2pi*t) into the form 5/8(4cos(4pit)+cos(8pit)+3)

Q: Solve AABC by using the given measurements. Round measures of sides to the nearest tenth and…

A:

Q: A function is given. h(t) = t2 + 4t; t = −1, t = 1 a. determine the net change between the given…

A:

Q: Evaluate the following limit x2−5x+6 x-3 x²-25 (a) lim x-3 (b) lim (c) x 5 x²+x-30° x²+2x-3 lim x→1-…

A: NOTE: Refresh your page if you can't see any equations. . factor out (x+6) cancel out (x-5)

Q: A What are the value: A, B, and x? X A = [?] B_ O O

A:

Q: Convert the given polar equation into a Cartesian equation. r=2sinθ+9cosθ

A:

Q: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round…

A: Given data 4sin2θ-7sinθ=0

Q: Find the value of a in the vector 7 = (a, b) if b = 48 and ||||= 52 is in Quadrant I a Question…

A:

Q: Given the function (a) lim f(x). x-6 (b) lim f(x). x-1 f(x) = 7-4x x < 1 x²+2 x 1 evaluate the…

A:

Q: 8. Given a sinusoidal function with amplitude 3, horizontal translation to the right 30°, vertical…

A:

Q: A staircase is to rise 10 feet 3 inches in a horizontal distance of 15 feet, 9 inches. Find the…

A:

Q: Find the measure of x. 40 458

A: cos∅=Adjacent sideHypotenuse

Q: Several points are shown on the complex plane. 7Imaginary Axis Q -7 -6 -5 पं R co N 6 5 4 32₂ 2 1 -1…

A:

Q: Solve the equation by first using a Sum-to-Product Formula. (Enter your answers as a comma-separated…

A: Sum to Product Formula  cos( a ) + cos( b ) = 2cos( a + b 2 )cos( a - b 2 )

Q: Graph 1 periods for tangent functions with asymptotes y= tan (x+pi/2)

A: To graph 1 periods for the following tangent function with asymptotes. y=tanx+π2

Q: 玲 450 1 45 1

A:

Q: Please find the value of the given trigonometric function:  tan 43.1° ≈ ___?___

A: tan43.1°

Q: Given the following information for AABC find all possible triangles. (Round all answers to 1…

A: Some measures of triangle area given, we need to find out the other measures of the triangle.

Q: Q.13 Which of the following graphs shows the systems of equations given below? 2 ln x + y = 4 ex-…

A:

Q: Kim and Yolanda are watching a movie in a movie theater. Yolanda is sitting x feet from the screen…

A: Given: Angle between Kim's line of sight and the horizontal: 30° Angle between Yolanda's line of…

Q: Use an identity to find the value of the following expression. Do not use a calculator. 元 sin² + COS…

A:

Q: This is a 30-60-90 triangle. What is the measure of x?

A:

Q: f (x) = -2 sin (²x + ³) + 4

A: To factor the given trigonometric equation, we need to rewrite it in a standard form. The equation…

Q: Using algebra, describe in two or more complete sentences how to determine if the function f(x)=…

A: fx=3sinx ........(i)

Q: The function f(x)= 3x 7x-3 is one-to-one. (a) Find its inverse and check your answer. (b) Find the…

A: f(x)=3x7x-3

Q: Use reference angles to find the exact value of the following expression. 7μ COS 4 Select the…

A:

Q: (b) Compute the following number (1+cos+isin).

A:

Q: 1. Solve sin x = 0.4 over 0° ≤ x ≤ 360° by: a. Using the graph of y = sinx. 8 F b. Using the…

A: Since you are asking multiple question. We are answering only the first question as per our…

Q: Find a formula for cos (3θ) in terms of cos (θ) and sin (θ) using de Moivre’s Theorem.

A: To find a formula for cos3θ in terms of cosθ and sinθ by using De Moivre’s Theorem.

Q: Convert the following angle in degrees to radians. 300° 300° = radians (Simplify your answer. Type…

A: The degree of measure of an angle that is θ=300°.