Solve the following equation for y(x): y" + 4y = 6 cos 3x + 20 sin 3x

Q: Don James wants to invest $63,000 to earn $7,490 per year. He can invest in B-rated bonds paying 15%…

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Q: The function f is defined as follows. -3x+4 ifx<1 2x-1 if x≥1 (a) Find the domain of the function.…

A: The given function, fx=-3x+4if x&lt;12x-1if x≥1 We have to its domain, intercepts, range and sketch…

Q: Using the illustration and the given values, find sides a and b to the nearest foot. A b A = 36.87°,…

A: To solve the problem we must know about the basic properties of right angled triangle. We use here…

Q: Which transformation changed f(x) to g(x)? f(x) = 2x + 2 g(x) = 2x + 7 Horizontal translation of 5…

A: To transform the function f(x) to f(x) +a we perform vertical translation of f(x) by a unit.

Q: mplify the expression. 1- cos 151° 1+ cos 151° 1- cos 151° 1 + cos 151° = O

A: Given expression 1 - cos1511 + cos151

Q: A person starts walking from home and walks: 5 miles East 3 miles Southeast 3 miles South 2 miles…

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Q: Convert the complex number, z = 8cis(7/6 * pi), from polar to rectangular form.  Enter your answer…

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Q: 1) tane sine + cos 8 GOAL sec 8 to solv

A: The answer is given below:

Q: The total amount spent by some number of people on clothing and footwear in the years 2000-2009 can…

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Q: Find - f(x) when f(x)=2x²-3x+2 OA 2x²+3x+2 OB-2x2+3x+2 OC -2x² + 3x - 2 OD 2x²+3x-2

A: given   f(x)=2x2-3x+2

Q: Apply the trigonometric identities to establish the expression side. Show your work. 1-cos²0 cos sin…

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Q: Please

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Q: The letters x and y represent rectangular coordinates. Write the equation using polar coordinates…

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Q: 11. Convert to rectangular coordinates. (-4√3,30°)

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Q: 8. Let Z₁ = 2 - 2i and z₂ = 3i a. Convert z₁ and 2₂ to polar form b. Find z,z2 in polar form. O…

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Q: K Let u = 6i-7j, and w=-i-5j. Find ||w-u. |||w-u|| (Type an exact answer, using radicals as needed.)

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Q: Solve the system of equations. 4x² + y² = 25 z+y=5 ordered pa

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Q: Sunbelt Paper Products makes conical paper cups by cutting a 2-in. circular piece of paper on the…

A: Answer is in step 2.

Q: B = 39°, a = 25, c = 12

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Q: Part I: Construction on the Plane 1. Using a straightedge, construct AABC on a sheet of paper. 2.…

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Q: Write the complex number in standard form. (Simplify your answer completely.) 1 cis 5pi/3

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Q: Solve the inequality and write the solution in interval notation. ²+8+12 ≤0 U

A: x2+8x+12≤0x2+6x+2x+12≤0x(x+6)+2(x+6)≤0

Q: Let f(x)=8x-5. (a) Find the average rate of change from 8 to 9. (b) Find an equation of the secant…

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Q: Convert the point with Cartesian coordinates 5√3 5 " 2 2 to polar coordinates.

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Q: Find the sine of ZW. Y √26 W √22 X Write your answer in simplified, rationalized form. Do not round.…

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Q: A piece of cardboard is 2.4 times as long as it is wide. It is to be made into a box with an open…

A: We need to write down the length and restrictions on x.

Q: de your answer below: y = 9x + 7

A: Given query is to find the polar equation.

Q: Determine whether the information results in one triangle, two triangles, or no triangle at all. 5.…

A: Solve the following

Q: Plot the point given in polar coordinates. 3r Choose the correct graph below. OA. -10 10- -10- B.…

A: We have to plot the given point in polar coordinates

Q: Perform the indicated operation: 10 [ cos (16°) + i sin (16°) ] * 11 [ cos (146°) + i sin (146°) ]…

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Q: The variables r and 8 represent polar coordinates. (a) Write each polar equation in rectangular…

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Q: Find the degree measure of the given angle with the given radian measure: TC 10 10 degrees 98…

A: We have to solve given Questions.

Q: Find the foci of the ellipse. 7² y² + 100 36 = 1 Enter each answer as an ordered pair. If there are…

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Q: Use long division or synthetic division to divide the following polynomials: 3x³ + x²-3x+1+x+3

A: Step 2 complete solution

Q: If cos(y) = and y is in the first quadrant, find cot²

A: We have to find the value of cot2y2.

Q: A perfect triangle is a triangle whose sides have whole number lengths and whose area is numerically…

A: To show that the given triangle is a perfect triangle.

Q: At a point on the ground 35 ft from the base of a tree, the distance to the top of the tree is 1 ft…

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Q: i and z2 = 1+√√3i the 22

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Q: Sketching a Plane Curve and Eliminating the Parameter In Exercises 13-28, (a) sketch the curve…

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Q: Given any Cartesian coordinates, (x,y), there are polar coordinates (r, 0) with - <0. Find polar…

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Q: 1. Find the exact values. No calculators allowed. a) sin(15°)

A: we  use  sinA-B=sinAcosB-cosAsinA

Q: Converting a Rectangular Equation to Polar Form In Exercises 47-64, convert the rectangular equation…

A: The given rectangular equation is: x2+y2=9

Q: These are two similar triangles. What does x equal? 12 X 14 21 x = [ ? O Enter

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Q: 21. Identify whether the equation is a parabola, ellipse, or hyperbola. x=y² - 4

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Finding the Standard Equation of a Hyperbola In Exercises 11-20, find the standard form of the…

A: Given:- Vertices 2,3 ,2,-3  and hyperbola passes throug the point 0,5

Q: complete the identity cos(17π-x)

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Q: ind the unknown sides (in m) of the right triangle. (See figure below. Round your answers to three…

A: Triangle

Q: For the following pair of vectors, find U · V. U = −8i − 5j, V = −i − 3j

A: Given that       U = -8i - 5j , V = -i - 3j  Here we have to find U•V .

Q: Given the vector u counterclockwise ||ū|| 0 = = (1, 3), find the magnitude and angle in which the…

A: Solution: u→=1,3

Q: O Find the equation of an ellipse in standard form with the following conditions: Major axis…

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