Solve the ODE: (3e³a sin y - 10y² sin(5x)) dx + (e³ cos y + 4y cos(5x)) dy = 0 Entry format: Write your solution equation so that: (1) The equation is in implicit form. (2) The highest degree term containing only a has a coefficient of 1. (3) Constants are combined and moved to the RHS of the equation.

Q: Find in degrees. 8 √113 0

A: We know that the formula of tan function is,(perpendicular)/(base).

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Q: (a) A car drives 300 km from city A to city B on a bearing of 065°. How far north/south has the car…

A: Given:distance car travelled = 300 kmbearing of car= 065°To find:distance travelled by car in…

Q: Which of the following represents y = -cot x?

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Q: Find the period and amplitude of the function. (+) Give the exact values, not decimal…

A: The standard equation of sine function AmplitudePhase shiftVertical shift is time period

Q: D f(x) (x)ď { 9

A: The given graph

Q: 3. Find two unit vectors orthogonal to -4i + 6j+6k and 87 - 9j - 9k

A: To find two unit vectors orthogonal to .

Q: Add 4 +57 when w = (75, - 23) and √ = (46, 86)*

A: To add  when .

Q: - -

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Q: Solve the right triangle ABC, where C= 90°. Give angles in degrees and minutes. a = 18.9 cm, c =…

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Q: you have to show ur work

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Q: For the given angle a in the triangle given in the graph 41 sin x = Cos x 40 sec a || tan x = cot x…

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Q: Exercises Given that ∞ = - Given that. sin (2) 2 find cose secx, cScx cos (1) find sinx, tanx secx…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Sketch  =θ−7π6  in standard position.

A: The objective of this question is to sketch the angle θ - 7π/6 in standard position. In…

Q: 3. A Ferris wheel with a radius of 9.5 m rotates every 10 s. The bottom of the wheel is 1.2 m above…

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

A: Coterminal angles are angles that share the same initial and terminal sides but differ in their…

Q: a) Use the inverse sine to find a solution to the following equation. This solution will be a…

A: Given: To Find: (a) To find a solution to the above equation that is a negative angle in the 4th…

Q: Solve 43...

A: Question No. (43): To solve the following equation on the interval .To verify the results by using…

Q: The double-angle identities are used when we want to simplify a trig expression. Similarly, you can…

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Q: The value of sin x is given. Find cos x and tan xifx lies in the specified interval sin x= XE cos X=…

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Q: Rewrite and simplify g(x) with the given sub

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Q: Find a value of x in the interval [0°, 90°] that satisfies the given statement. cot a = 1.4809767…

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Q: Q4. Fill out the following table giving the exact values 0 in degrees 0 in radians a =reference…

A: Reference angle:-A reference angle is an acute angle enclosed between the terminal arm and the…

Q: Calculate the distance between the two building corners Q and R and the perpendicular distance PS to…

A: We are given a triangle PQR with PQ=68.334m, PR=61.901m and  =We have to find the lengths QR and PS

Q: Solve the right triangle ABC, with C = 90°. A = 56.2°, c = 21.3 ft B = a = b= (Simplify your answer.…

A: Given data regarding the question The Law of sine is given as follows where a , b and c are the…

Q: 5. Find the exact value using double/half angle formulas cos 15° Type a response

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Q: determine the missing side. round to the nearest hundreth

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Q: If the function is one-to-one, the inverse function function. the process followed by the

A: The objective of the question is to understand the process followed by the inverse function when the…

Q: Two ships leave a port at the same time. The first ship sails on a bearing of 53° at 16 knots…

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Q: When an automobile travels uphill or downhill on a highway, it experiences a force due to gravity.…

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Q: A circle has a radius of  5 m . A sector of the circle has a central angle of  140° . Find the…

A: The objective of this question is to find the area of a sector of a circle given the radius of the…

Q: The function graphed to the right is of the form y = a sec bx+c or y = acscbx+c for some a 0,b>0.…

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Q: Find the area of this triangle. 32 48 63 [? ]ft² Round to the nearest whole number.

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Q: Calculate the exact value of arccos (-1). Note that a special angle is involved, so a calculator is…

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Q: Enter the number that belongs in the green box. [?] 59° 13

A: We know that the sines law states that,.Where a,b and c are the sides of triangle opposite to the…

Q: Find the reference angle for 20π/9 radians   Find the reference angle for −5π/3 radians   Find the…

A: The objective of this question is to find the reference angles for the given measures in radians and…

Q: Graph y=sec(x)+1 on the grid below for  -2π ≤x ≤2π . Use a scale involving fractions of π on your…

A: Consider the function

Q: Graph the function for -π≤theta≤2π. How is the graph related to the graph of y=tan theta? g(theta)=2…

A: The objective of this question is to graph the function g(theta) = 2 * tan(theta) for -π

Q: A company safety committee has recommended that a floodlight be mounted in a parking lot so as to…

A: The objective of this question is to find the angle of depression of the light from the floodlight…

Q: 2 sin²a - 1 sin a + COS a

A: This is the required solution for your problem.Explanation:For any query with the solution, please…

Q: 171. 5) Find the exact value without using calculator. Leave the radical in the answer. (a) cos…

A: The given expressions are

Q: Find the exact value of cos(4x) if tan(x) = -2,2 <y<T.

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Q: tanx+cotx/secx. simplify the trigonometric expression below by

A: Given  trigonometric expression,

Q: Which of the following is an equation for the graph? -31T/2 -1/2 A. 3 sin (2x + π) - C. 3 sin (2x) +…

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Q: Express the function h(x) = (x + 9) in the form fog. If f(x) = x, find the function g(x). Your…

A: Given that the function  in the form fog ,and  we have to find the function g(x)

Q: Express the point in terms of polar coordinates. (x, y) = (4√3, 12) (Give your answer in the form…

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Q: A student who is driving home for the holidays averages 45.9 miles per hour.Show, using dimensional…

A: The objective of this question is to determine the time it would take for a student to travel a…

Q: A planet is about 90,000,000 mi from its sun and traverses its​ orbit, which is nearly​ circular,…

A: The objective of this question is to find the linear velocity of a planet in its orbit. The linear…

Q: Evaluate without using a calculator cos 540°

A: The objective of this question is to find the value of cos 540° without using a calculator. In…