Simplify sin(4x) + sin(2x) cos(4x) + cos(2x) to an expression involving a single trigonometric function.

Q: Solve right triangle ABC. (Round angle measures to the nearest degree and side lengths to the…

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Q: x = y² - 2y and x = 4y - y²

A: The given curves are; x=y2-2y and x=4y-y2 Now find the point of intersection between the given…

Q: Find the area of the region in the first quadrant bounded by the curve y = √√x² + 5, the x-axis and…

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Q: Simplify arcsin (-). KIO $0 11x 6 7x :|00

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Q: Find the exact interest on a loan of $7500 at 13% annually made on July 17 and due November 30.…

A: Given that we need to find the interest on a loan for following interest rate and on time.

Q: 9. Find the indicated limit. lim (6x - 21)³ x-4 = Show any work necessary

A: Solution: As per given data   lim( x tens to 4){ (6x - 21)³} As per simple rule of limit go ahead…

Q: b) A monthly service fee to download e-books is $4.95, plus $3.99 per book downloaded. Write an…

A: The object is to write an equation that represents the total cost.

Q: Question R is the region bounded by the functions f(x) = 1-3 sin (x) and g(x) = 3 cos (x). Find the…

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Q: 10. 2 w² + 4w W 1 dw

A: Given problem:-

Q: Find the average value gave of the function g on the given interval. TU TU g(x) = 6 cos(x), 2 2 gave…

A: We will find the average value of function as shown below

Q: The height y (in feet) of a ball thrown by a ch 1 -x² + 6x + 5 - y = 14 where is the horizontal…

A: The height of the ball is given by  y=-114x2+6x+5 in feet where x is horizontal distance from child.…

Q: Q4: Let y=√ and 1= x² then y) = 0 if n= a) 2 b) 3 c) 4 d)5 e) others

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Q: Find a function y(x) such that 6yy' = x and x and y(6) = 9. y =

A: Topic = Differential equation

Q: 1. (4D-23D³-33D²-17D- 2. 2. d^x dx +39³ x db db³ db² -27d²x 62

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Q: For the function f(x) = -5x, find the difference quotient f(a+h)-f(a) = h f(a+h)-f(a) h

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Q: One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How long is the…

A: Given problem:- One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How…

Q: 1. Evaluate the given integral Q. ry+1 ry+z Q= 0 0 xyz² dx dz dy

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Q1: If y=sint and t= sinx, then at x = a) 0 b) c) cosl 2 dx d) -cosl e) others

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Q: Question If you were to use a substitution of u = sin(x) to evaluate the definite integral below,…

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Q: EX: Expand fit) = +² o<t<2π in a Fourier Series expansion : Sol: 2L = 2 T qu L = π -41 -2π 4T 27T 21…

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Q: dx √x² - 4x + 13 S

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Q: Z A Consider the tetrahedron ABCD with vertex A at the origin as shown: (a) Find the equation of the…

A: Given that: A=0, 0, 0; B=0, 0, 3; C=0, 4, 0; D=6, 0, 0 We have to find:  a) An equation of a line…

Q: 14 Find the slope of the function ƒ(x) = -x - 1, by the definition of a limit. Slope =

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Q: 8. Explain what transformations you would need to apply to the graph of y = f(x) to graph the…

A: In this question, We want to know the transformations that we apply to the function y=f(x) to graph…

Q: C. d. -TT/6 -TT/8 (secx + tan x)2 dx (sin 2x) dx

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Q: The ellipse 3 4 8 16 x²y² 1 = + 9 16 4 has a vertical axis of

A: elipse equation is given  x2/9 + y2/16 = 1/4 here compare with  x2/a2 + y2/b2 = 1

Q: Find the center and radius of the circle whose diameter has an endpoint at (3, -4) and the origin. 5…

A: Given that the endpoints of the diameter are 3,-4 and 0,0.

Q: d^x 2: +3. db4 3d ³ x db³ d²x -62 dx - 24x=0 db 27. db²

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Q: dy at t= is (not that these functions in N) dx a) -1 b) 0 c) d) 1 e) others Q5: If y=tant and x =…

A: The objective of the question is determine the derivative at given point and choose the correct…

Q: 5. (a) Find the particular solution of the differential equation x³ = 1-e²t if x(0) = 2.

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Q: The hyperbola in Position I opening up opening down in Position II y² x² 4 16 1 is

A: Topic :- geometry

Q: Find the maturity value of a loan of $49,583 after 18 months. The loan carries a simple interest…

A: To find the maturity value in the given case.

Q: An auto weighing 2,500 pounds is on a street inclined at 10° with the horizontal. Find the force…

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Q: 8. NE x²+x² tan² (4x³) tan² (47x³) 2] dx

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Q: A thermometer reading 75°F is taken out where the temperature is 20°F. The reading is 30°F 4 minutes…

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Q: When a homeowner has a 25-year variable-rate mortgage loan, the monthly payment R is a function of…

A: We have to interpret the above term.

Q: Evaluate the indefinite integrals by using the given substitutions to reduce the integrals to…

A: SOLUTION-

Q: Simplify sec(arctan 1) 1

A: Please refer to the image below

Q: Given: c= 8, a = 5, C = 67° a A B Solve the triangle. (Do not round until the final answer. Round…

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Q: Sequences and Series 17. Determine if the following sequence is Arithmetic or Geometric. Then…

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Q: 41.) If f (x) = )=√(₁ (A) 3-e/4 4 tan(Cnx) +- (B) dx & f(1) = 0, then f (e/4) is - 3-e/4 4 (C)…

A: We need to choose correct option.

Q: For vectors and shown, drawu - 2 13 19 V

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Q: 3. Find the distance between points P₁ and P2. (a) P₁(-1,1,5), P₂ (2, 5,0) (b) P₁(3,4,5), P₂(2, 3,…

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Q: Let f(x,y) = 3x4 - 4x³y + 2x2y2-y. Let f, be the partial derivative of f(x, y) with respect to x.…

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Q: Evaluate the limit 3(y²1) lim y 4 7y²(y-1)³

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Q: Q1: If y=sint and t= sin x, then at x = a) 0 b) c) cosl dx² d) -cosl e) others

A: I have stated the used properties in the solution

Q: 2) The expression 321 x 320 x 319 x 318 can be simplified as nPr. The value of n + r =

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Q: h(x) = [(x − 3)√6x − x² + 9 sin¯¹ (x-³)] g(t)e-2t (1+e-2t)-1/2

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Q: CA d 15. (4D²+20D +125)0=0, where D=- dr de = 2.5. whe 0,0=3 and

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Q: ) Ted, Robyn, Barney, Marshall, Lily, Stella, Victoria, Tracy, Karen, and Holli line up for a…

A: Please refer to the image below