For the right triangle below, find the measure of the angle. Please show your answer to one decimal place. 7 14

Q: 7. Let f(x, y) = 2, where x = 2 cos u and y = 3 sin v. Find fu(x, y) and f(x, y) and y exprees them…

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Q: f(t)=3e-4¹sin5t (A) F(s) = - B F(s)= D E 15 (s-4)²+25 15 (s+4)²+25 There is no correct answer from…

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Q: -4y5+4 dy +4 ]d-

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Q: Find the derivative of the function. 14 logg(t) t g' (t) = g(t) =

A: Topic = Derivative

Q: Differentiate. y' = || Y = 7-tan(x) y X

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y₁…

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Q: A quadratic function f is given. f(x) = x2 + 2x − 1 (a) Express f in standard form

A: Topic = Function

Q: Given the functions f(x)=x²+2x and (ƒ•g)(x)=x²-1, which of the following is true regarding g(x)? O…

A: Given the functions fx=x2+2x and f∘gx=x2-1.To determine the true statement regarding gx.

Q: If y=xe, then find d" y dx"

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Q: Examine the function for relative extrema. f(x, y) = |x + y| − 5 (x, y, z) =

A: The given function is  f(x, y)=x-y-5

Q: For a small farm, the cost in dollars to produce a containers of ice cream is C(x) = 0.8x + 18. The…

A: Note:- These are multiple sub parts and we can do maximum 3 sub parts. So i am solving first 3 sub…

Q: Let C(x) represent the cost and R(x) the revenue, in dollars, associated with producing and selling…

A: Given data÷ C(x) = cost function R(x) = revenue function x = number of units of book C'(30) = 66…

Q: Using the same graph of f(x), what is lim f(x)? X→ 4 AN 2 3 -1- -2+ 4 1 doesn't exist

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Q: 1 x² - 4 dar

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Q: Suppose z = x² sin y, x = −5s² + 3t², y = -6st. A. Use the chain rule to find 53 33 and as functions…

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Q: Continuing with the same graph of f(x), which value is the greatest: f(5), f'(5), or f(6) -f(5) ?…

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Q: To which of the following will lim O lim(1+cosx) x-0 O lim (2cosx) x-0 2lim (cosx + cos²x) x-0 O…

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Q: Use the chain rule to find First the pieces: ow dr Ow მყ dw dz dr dt dy dt dz dt Now all together:…

A: The objective is to solve the above question.

Q: x² 421875 For the given cost function C(x) = 54√√x + a) The cost at the production level 1700 b) The…

A: Note:- These are multiple sub parts but we can solve max 3 sub parts so i am solving here first 3…

Q: a. Determine all values of x that satisfy the equation: 3x-2 = 27x+5 b. Use the properties of…

A: Topic - Equations We are given a. Determine all values of x that satisfy the equation: 3x-2 = 27x+5…

Q: Find the absolute maximum and absolute minimum of the function f(x) = 3 cos² (x) over the interval…

A: Find the absolute maximum and absolute minimum of the function f (x) = 3 cos^2 (x)

Q: A particle moves along the x-axis so that at time t> 0 its position is given by x(t) = t³ – t² –…

A: Topic- Application of derivatives We are given x(t)=t3-t2-16tWe know…

Q: Find the first partial derivatives of x - y x+y f(x, y) = af -(1, 1) = д х of ду -(1, 1) = = at the…

A: Concept: Let's say we have a function f(x, y) that depends on the values of two independent…

Q: Which of the following was done to the graph of -x³+4x² - 4x + 7 to obtain the graph of x³ - 4x² +…

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Q: Use logarithmic differentiation to find the derivative of th y = (In(x)) cos(2x) y'(x) = ||

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Q: 9 Find the with a area of the parallelogram Verticles vertices; PC0,0,0), QC3₁=3₁-9), R (3₁-1₁-²5)…

A: I am attaching image so that you understand each and every step.

Q: f(x) is concave down on the interval (a, b) if f'(x) is decreasing on True False (a, b).

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Q: Evaluate the limit of the function f defined by f(x, y) = y = x² as (x, y) approaches (0,0). x+y 2x²…

A: To evaluate the limit of the given function

Q: Find the inverse Laplace transform L-¹{F(s)} of the given function. 12 s² + 16 Your answer should be…

A: To find the inverse Laplace transform L-1Fs of the given function.Fs=12s2+16

Q: S√8x³ +36x² +54x+27 dx

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Q: Use the Ratio Test to determine whether the series converges absolutely or diverges. 3(k!)² 5(2k)! 8…

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Q: Le symbole sigma pour la somme est une notation standard en mathématiques qui nous permet d'exprimer…

A: Given information (a):-   ∑i=1n f(x1),     (b):-  ∑i=1n f(xi), (c):- ∑i=0n xi ,           (d):-…

Q: Evaluate the integral R --²dA where R is the region bounded by the semicircle z = √4-y² and the axis…

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Q: Suppose the second derivative of f(x) is given by f" (x) = 35x¹ (x+6)5 (x² + 9). Determine the…

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Q: 50. y = x¹/x

A: To find : Derivative of the function y=x1x Take logarithm to both sides, we get logy=1xlogx …..(1)

Q: If ƒ(x) = (x² + 4x + 8)², then f'(x) = f'(3) = places) (round to 3 decimal

A: f(x)=x2+4x+82 f'(x)=ddxx2+4x+82   Let, g(x)=x2+4x+8 So, the function can be written as:…

Q: If √ (2-4) (2 + 6) dr = Adr 2-4 Bdr +6' then A+B =

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Q: Evaluate the following integral

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Q: 2.) What is when y= cos(2x³) d²y dx²

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Q: Give your answer accurate to 3 decimal places. A man on a dock is pulling in a boat by means of a…

A: A man on a dock is pulling in a boat by means of a rope attached to the bow of the boat at a point…

Q: Find the derivative y'(x) implicitly for the equation y' (x)= 4x + 3 y 2x + ³.

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Q: A population grows according to an exponential (Malthusian) growth model. The initial population is…

A: Growth model :-Pn=P01+rnr=growth rate Here r=0.3 P0=5⇒Pn=51+0.3n⇒Pn=51.3n

Q: ← Find fx (x,y) and fy(x,y). Then find fx (2, -1) and fy(-4,3). f(x,y) = In 9x¹ +8x²y² fx(x,y)=…

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Q: Find the area of the region included between the parabola py2 = x and the line x + y = p.

A: The solution is given below

Q: Select all the true statements. 4 limx→0 ³ (2+3) lim.→-4 3x 2x+8 lim-0 2x² 5x+3 lima→-2 = ∞ x-1…

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Q: Consider the function f(x) = 1 − 6x², − 5 ≤ x ≤ 2. The absolute maximum value is and this occurs at…

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Q: dz ds A. Use the chain rule to find dz მყ dz Ot || dz Ot Suppose z = =x² sin y, x = = (-5,5) = and…

A: Please see the below picture for detailed solution.

Q: Based on the data shown below, calculate the regression line (each value to two decimal places) y =…

A: Here for the given values.The best fit values for the regression line are- Slope =1.106 ± 0.08099…

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r = 7 +…

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Q: Find the partial derivatives of the function dw Or dw dw Ot W= √√2r² +58² +4t²

A: We can find the partial derivative of the function .