In Exercises 39–42, express the given quantity in terms of sin x and cos x. 39. cos (7 + x) 40. sin (27 - x) 37 42. cos 41. sin

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A: Given query is to find the quadratic form of the function n

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Q: 3. Determine whether the sequence an = n cos ní is bounded, bounded above. bounded belew, or none of…

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Q: Example: A particle moves in a straight line according to the positon function s(t) 0.5 sin(6t) + 8…

A: We can solve this as follows:

Q: DIRECTIONS. Indicate the degree and determine the solution of the following equations. Homogeneous…

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Q: Consider the ellipsoid x² + y² + 4z² = 41. The implicit form of the tangent plane to this ellipsoid…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with…

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Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

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Q: Find the given limit (x² - 1)(y² - 4) lim (x,y) →(1,2) (x - 1)(y-2)

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Q: The data provided is that for the depth of water in Cokato Creek, as measured during a day-long…

A: Here we have the depth of water in Cokato Creek, as measured during a day-long ainstrom. D(t) is a…

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Q: Let f(x) be an invertible and differentiable function on (-00, ∞o). Find (f-¹)/(3) if you know the…

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Q: 18. Find the limit. lim X-8 lim X→8 6 X-8 X-8 (Simplify your answer.)

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Q: A car has 12,500 miles on its odometer. Say the car is driven anaverage of 40 miles per day. Choose…

A: Given data:- A car has 12500 miles on its odometer Car is driven an average of 40 miles per day N is…

Q: If lim x approaches 1 ƒ(x) = 5, must ƒ be defined at x = 1? If it is, must ƒ(1) = 5? Can we conclude…

A: Given that If x→1 f(x)=5limit approaches 1 f(x)=5, must f be defined at x=1? If it is, must f1=5 .

Q: Il Inverse trigo functions 1.y = √x² - 4 + 2arc(csc)

A: y=x2-4+2arccscx2

Q: Find a unit vector in the direction in which f(x, y) = 8 cos(3x − 5y) ㅠ P(20), and find the rate of…

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Q: What is the slope of the tangent line to the curve y^2-2x^2=6-2xy at the point (2,3) ?

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Q: Let f(x) = sin(x)cos(x). ƒ'(x) = 4 Write the equation for the line tangent to f(x) at the point x =…

A: We have to find the equation of tangent line

Q: cample: y = √sin(x4 - 6x) find 11-Sin(x

A: Given function:- y=sinx4-6x

Q: (1 point) Find the limit of the function lim (x,y) →(0,0) sin(√x² + y²) x² + y² f(x, y) as (x, y) →…

A: See this solution in below.

Q: FIND F'(x) for F(x) = -7 w/out USING the √5x³-20x quotient TULE

A: Given query is to find the derivative of the function.

Q: implicit differentiation to find ∂z/∂x and ∂z/∂y if 3x^2+4y^2+2z^2=5   ∂z/∂x=________________…

A: Given query is to find indicated partial derivatives.

Q: X 6. What is the instantaneous rate of change at x = 2 of the function f given by f(x) = :-?? X-1

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Q: A chemical substance has a decay rate of 6.5% per day. The rate of change of an amount N of the…

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Q: theater finds that there is a correlation between the number of ice cream flavors offered at its…

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Q: Effect of Price on Demand for Tires Suppose the quantity demanded weekly of the Super Titan radial…

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Q: 2) The total cost in dollars of producing x lawn mowers is given by C(x) = 4,000+ 90x- -. Find the…

A: Given query is to find marginal average cost.

Q: Find the directional derivative of f at P in the direction of a. f(x, y) = 13 tan (²); P(-14,14);…

A: The given function is fx,y=13tan-1yx. To find the directional derivative, find the gradient of f.…

Q: Evaluate: 1. lim [√x² + x − √x² + 4] = X→ +∞ 2. lim [(x²-In(x + 1)) cotx] -0-x

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Q: Find an equation for the plane that passes through the following points. (3, −1, 5), (0, 0, 6), and…

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Q: find f + g, f - g, f # g, and fgfor each pair of functions. State the domain of each of these…

A: Given, fx=3x2+x+1gx=3x

Q: Evaluate the integral. 11x² da (x + 1)(x² + 1)

A: This question can be solved using the concept of partial fractions.

Q: Evaluate the following integral. S= 2 x³√x² - 1 dx =

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Q: f(x) = In (x + 9)

A: Given  f(x) = ln ( x + 9 )

Q: determine (algebraically) whether the given function is even, odd, or neither.   f1x2 = x3 - 4x

A: A function f(x) is said to be odd if f(-x)=-f(x)and even if f(-x)=f(x)Given function is f(x)=x3-4x.

Q: A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the…

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Q: FIND F'(x) F(x) = 2 tanx 1+cosx

A: To differentiate the given function.

Q: Find the average rate of change of f1x2 = 3x2 - 2, from 2to 4.

A: Given, fx=3x2-2,    2, 4

Q: Use the geometrical series formula to evaluate the following: k=2 3 5k

A: Given :- ∑k=2∞35k

Q: True or False: The following function is continuous on R. True O False f(x) = if x sin x 44

A: Given function:- fx=sinxif x<π4cosxif x≥π4

Q: Consider the following. y² – x² = 384; (8, 8√√7) Find the slope m of the line tangent to the graph…

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Q: 10 cm 10 cm 5. A container has the shape of an open right circular cone, as shown in the figure…

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Q: The length of a stalactite (in mm) has been measured at the beginning of every fourth year since the…

A: We have to find part 1,2 and 3.

Q: Suppose 11, 32 is a point on the graph of y = f1x2.(a) What point is on the graph of y = f1x + 32 -…

A: Given: Point 1,3 is on the graph of y=f(x). i.e. f(1)=3   (a) To determine the point on y=f(x+3)-5…

Q: Find the following limit. lim x-x 2+ x - 4x³-4 5 x³x²+1 Number

A: ans=  -4/5

Q: Solve equation log5x+log(x-1) = 2 without using a calculator.

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Q: 5. Bernoulli's Equations a. 6y²dx-x(2x³ + y)dy = 0

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Q: Evaluate the following limits, making sure to justify your calculations as much as possible: lim…

A: See this solution in below.