Use the power-reducing formulas to rewrite the expression in terms of first powers of the cosines of multiple angles. cos(4x)

Q: Use derivatives to determine where f(x) = 2x^3 - 9x^2 + 12x - 3 (a) where the function is increasing…

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Q: Problem 1. Part (a) Compute the derivative. h(x) = ln In(x) 4x³

A: As per the Bartleby guidelines, answering only first question as the other questions are not the sub…

Q: Solve the following equation on the interval [0, 360°]: cos22x = cos 2x + sin²2x

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Q: Use Heron's Area Formula to find the area of the triangle. (Round your answer to two decimal…

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Q: Write a in the form a = a₁ T+aN without finding T and N. r(t) = (3 + 7t)i + (t-6)j - 2tk a= T+ N

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Q: Use a computer algebra system to find u xv and a unit vector orthogonal to u and v. (Round your…

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Q: What is the area of largest rectangle that can be inscribed in the region bounded by x=0, y =0, and…

A: The rectangle that can be inscribed in the region bounded by  and .We have to find the area of the…

Q: Find the angle between the vectors v = 5i - 3j and w = 2i - j. Round your answer to the nearest…

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Q: What is the slope of the curve y = 2 cos x at x = -1 1 -2 2

A: The given function is,

Q: f(x) +3 4+ -4 If lim 3e² 00 0-3 O-4 Oe-3 =e", then lim f(x) =

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Q: Use Heron's Area Formula to find the area of the triangle. (Round your answer to two decimal…

A: Givena = 33, b = 44, c = 21

Q: nd the distance between the skew lines: c = 8+9t, y = 2 +9t, z = 4-6t x = 8-t, y = 7, z = 2 + 5t…

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Q: Consider the following system of equations: 1 4x + 3y + 3z = -8 2x+y +z = -4 3x - 2y + (m²6)z = m -…

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Q: -8 0.0001t dt

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Q: The slope of the tangent of the function f(x) = 3 + 3x at x=2 is X 9/4 -5/4 -5 5

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Q: 9) 11. 13. od 15. 17. 5 19. 64 dx 20/19 8 dx 13 (x +413/2 -3 dx √4-x L'₁ 21. 23. 3 dx -3x f.ro - ds…

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Q: Find the exact values of the sine, cosine, and tangent of the angle. 117 T 20 = 12 4 3 sin(뜸) 12 11…

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Q: The following triangle depicts the case of the Law of Sines (AAS). 40⁰ B O True 22.5° O False

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Q: Solve the equation and inequalities. Write the solution sets in interval notation if possible. (a)…

A: To solve the following equation and inequalities.(a) (b) (c) (d) (e)

Q: Prove that if A and B are similar, then |A| = IB. Is the converse true?

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Q: Find an equation of the plane. the plane through the point (8, -2, -6) and parallel to the plane z =…

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Q: Consider the series ∞ an+1 an n=1 (-1)+1 n Attempt the Ratio Test to determine whether the series…

A: We have to check weather the given series is converse or divergent in nature.

Q: Use one of the formulas below to find the area under one arch of the cycloid x = t - sin(t), y = 1 -…

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Q: consider a tarice derivable function f(x) that f(1) = 3₂ f(2)=6 fles=6, f(sh) = 9. 2 H=8 @least once…

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Q: 10. A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/s. Find:…

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Q: FOR WHAT VALUES. OF A INFLECTION OF THE CURVE AND B IS (2, -16) A POINT OF GUEN BY 3 f(x) = Ax² -…

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Q: A force vector has a magnitude of 14 N and make an angle of 20° with the x-axis. What is the…

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Q: Find dy dx at the point (0, 2) if y² +e™ = 4.

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Q: Express the given parametric equations of a line using bracket notation and also usingi, j, k…

A: To express the given parametric equations of a line by using bracket notation and also using  and…

Q: 5. Determine the equation of the curve whose tangent line at any point (x,y) is e* — sin x and…

A: Determine the equation of the curve whose tangent line at any point (x, y) is ex – sin x and passes…

Q: lim sin(4x) cos(√) +0+ √√ sin(2√T)

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Q: Use a suitable half-angle formula to find the exact value of sin(15°)

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Q: If C(x) = 13000 + 400x - 4.2x² + 0.004x3 is the cost function and p(x) = 2800 - 9x is the demand…

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Q: Find the adjoint of the matrix. 02 [-92]

A: In the question itself they had given the Jacobian format, we're here find the partial derivatives

Q: For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain.…

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Q: Rationalize the following denominator: √5-3√3 √6 3√10-6√2 6 O√30-6√2 3 3√10+3√2 6 √30+9√2 6

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Q: A rope passing through a capstan on a dock is attached to a boat offshore. The rope is pulled in at…

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Q: cos(130°) cos(10°) + sin(130°) sin(10°)

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Q: = (x²y4 + 2)5 → 9% = b.F(K,L) = (Kª + Lª)¹/ª → KFk+LF 3t c.g(t, w) = ³t+wt² → d.g(t₁, t2, t3) = (tỉ…

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Q: True or false: If f has a local maximum or minimuh at x=c, then f'(c) = 0

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Q: Solve the equation 5√3 sec 0 = 10. Express the answer in degree measure. O 30° + 360°k or 330° +…

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Q: You have been given 260 ft of material to make the rectangular figure below. What dimensions should…

A: You have been given 260 ft of material to make the rectangular figure below. What dimensions should…

Q: Write a in the form a=a+T+aNN at the given value of t without finding T and N. 2 r(t) = (2²³) 1 +…

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Q: Evaluate the following integral in cylindrical coordinates. 8 √64-x²√x² + y² s s S S S (x² + y²-1/²…

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Q: Find the value of C' for which the tangent line to the graph of the function f(x) = 2e at the point…

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Q: A spherical iron ball 8 in. in diameter is coated with a layer of ice of uniform thickness. If the…

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Q: If a rock is dropped from a height of 219 feet, the rock's position t seconds after it is dropped is…

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Q: Use the Law of Cosines to find the specified missing value. Approximate your answer to the nearest…

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Q: T(4-2³) lim 2-00 5x³ - 3x² +1 =

A: Here given that a limit problem and we solve this problem by using general property of limit.

Q: The velocity of a particle moving along the x- axis is given by v (t) = 2 — t² for time ₺ > 0. What…

A: The velocity of the particle is given as,