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16. Photon Lighting Company determines that the supply and demand functions for its most popular lamp are as follows: S(p) = 400 - 4p + 0.00002p4 and D(p) = 2,800 - 0.0012p3, where p is the price. Determine the price for which the supply equals the demand. A) $93.24 B) $100.24 C) $96.24 D) $99.2417. Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.2, -4, and 1 + 3i (1 point) A) f(x) = x4 - 2x2 + 36x - 80 B) f(x) = x4 - 3x3 + 6x2 - 18x + 80 C) f(x) = x4 - 9x2 + 36x - 80 D) f(x) = x4 - 3x3 - 6x2 + 18x - 8018. Using the given zero, find all other zeros of f(x).-2i is a zero of f(x) = x4 - 45x2 - 196 (1 point) A) 2i, 14i, -14i B) 2i, 7, -7 C) 2i, 14, -14 D) 2i, 7i, -7i19. For the given function, find the vertical and horizontal asymptote(s) (if there are any).f(x) = the quantity two x squared plus one divided by the quantity x squared minus four (1 point) A) None B) x = 2, y = 2, y = 0 C) x = 2, x = -2, y = 2 D) x = 2, y = 2, y = 120. Convert the radian measure to degree measure. Use the value of π found on a calculator, and round answers to two decimal places. (1 point)five pi divided by six A) 216π° B) 150° C) 144° D) 300°21. Find the exact values of the indicated trigonometric functions. Write fractions in lowest terms.Right triangle ACB is shown where segment AC is twenty one units, segment CB is seventy two units, and segment BA is seventy five units.Find sin B and tan B. (1 point) A) sin B = twenty four divided by twenty five ; tan B = twenty four divided by seven B) sin B = seven divided by twenty four ; tan B = seven divided by twenty five C) sin B = seven divided by twenty five ; tan B = seven divided by twenty four D) sin B = twenty five divided by seven ; tan B = twenty four divided by seven22. Solve for x. Round your answer to 2 decimal places. (1 point)A right triangle is shown where the angle between the hypotenuse, of length x units, and a leg, of length seventeen units, is fifty eight degrees. A) 32.08 B) 14.42 C) 9.01 D) 20.0523. Find the measures of two angles, one positive and one negative, that are coterminal with the given angle.202° (1 point) A) 382°; -158° B) 472°; -68° C) 562°; -248° D) 562°; -158°24. Find the period of the function. (1 point)y = 5 cos one divided by two x A) 4π B) 5 C) pi divided by two D) five pi divided by two25. Find the exact value of the real number y.y = csc-1(-1) (1 point) A) π B) negative pi divided by two C) pi divided by four D) 2π26. Find the exact value of the composition. (1 point)arcos cosine of pi divided by two A) π B) 0 C) pi divided by three D) pi divided by two27. Find the angle θ (if it exists) in the interval [0°, 90°) for which sin θ = cos θ. (1 point) A) θ = 30° B) θ = 45° C) No such angle exists. D) θ = 60°28. A building has a ramp to its front doors to accommodate the handicapped. If the distance from the building to the end of the ramp is 17 feet and the height from the ground to the front doors is 7 feet, how long is the ramp? (Round to the nearest tenth.) (1 point) A) 4.9 ft B) 15.5 ft C) 18.4 ft D) 9.9 ft29. Find the exact value by using a half-angle identity. (1 point)tan seven pi divided by eight A) 1 + square root of two B) 1 - square root of two C) -1 + square root of two D) -1 - square root of two30. Find all solutions in the interval [0, 2π).4 sin2 x - 4 sin x + 1 = 0 (1 point) A) pi divided by three , five pi divided by three B) pi divided by six , eleven pi divided by six C) seven pi divided by six , eleven pi divided by six D) pi divided by six , five pi divided by six31. Determine algebraically whether the function is even, odd, or neither even nor odd.f(x) = 3x2 - 1 (1 point) A) Neither B) Even C) Odd32. Use the Factor Theorem to determine whether the first polynomial is a factor of the second polynomial.x - 5; 3x2 + 5x + 50 (1 point) A) Yes B) No33. Use synthetic division to determine whether the number k is an upper or lower bound (as specified for the real zeros of the function f).k = 2; f(x) = 2x3 + 3x2 - 4x + 4; Lower bound? (1 point) A) Yes B) No34. Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. (1 point)f(x) = the quantity x minus seven divided by the quantity x plus three. and g(x) = quantity negative three x minus seven divided by quantity x minus one.35. Verify the identity.cos 4x + cos 2x = 2 - 2 sin2 2x - 2 sin2 x (1 point)PLEASE HELP HERE

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