Show that for x > 0, sin ¹x+cos -1 X = FIN 2

Q: The Intermediate Value Theorem guarantees the existence of at least one real zero of the polynomial…

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Q: Compute the indefinite integral fe-4² -4x dx

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Q: Evaluate S 1 d dx /1+x²

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Q: 2. Find the volume inside the sphere x² + y² + z² = 10², by using spherical coordinates.

A: equation of sphere

Q: Given f(x, y) = sin(x + y) where x = s5t4, y = 5s 4t. Find fs(x(s, t), y(s, t)) = ft (x(s, t), y(s,…

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Q: The Intermediate Value Theorem guarantees the existence of at least one real zero of the polynomial…

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Q: Convert the point (p, 0, 0) = (3, 70 6 6

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Q: 6. Determine whether the following series converge conditionally, converge absolutely, or diverge.…

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Q: Find the domain. f(x) = x 3 ²³ - 8 A. all x-values besides x--2 C. all x-values besides x-2 B. all…

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Q: Complete the table and graph the following parametric equations for t in [0, 2π]. top4 8 t 0 π 2 π…

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Q: et r(t) = (-4t³-3, 2e-3, 4 sin(2t)) ind the unit tangent vector T(t) at the point t = 0

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Q: Graph the given function using a semilogarithmic scale. 3 y = 4x -x

A: In this question , we will draw the graph of the given function.

Q: Find the directional derivative of the function f(x, y) = ln(x³ + y²) at the point (1, 3) in the…

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Q: y-values 6 8 7 6 t 3 2 1 If f(x) = g(x) h(x)' then g(x) 2 3 x-values A Out y-values 5- 3 2 1 h(x) f…

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Q: Use a graphing calculator to approximate the area between the graphs of y = In x and y = 6xe* on the…

A: We need to calculate the area between y=ln x and y=6xex on interval [1,2].

Q: Use the Laplace transform to solve the initial value problem. 18. y' + 2y = 26 sin 3t, y(0) = 3 20.…

A: eat ↔LT 1s-ateat ↔LT 1s-a2

Q: Find the radius of curvature at any point in the curve y + In cos x = 0. A. cos x B. 1.5707 c. sec x…

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Q: Compute the indefinite integral S dx 16 + 9x2 S dx 16 + 9x2

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Q: Consider the integrant S (x² +1) dr. with two (a) Use a right hand Riemann sum subintervals Cice…

A: The given integral is:∫04 x2+1 dx

Q: ;) Consider f(x)= x² - 8x + 7 Find the absolute maximum and minimum of f(x) on the interval (1,7).…

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Q: BOOK, Miar dius, oth ed., your 11.7, #184) Let v, w ER". If ||v|| = ||w|, show that v + w and v- w…

A: To solve the following

Q: 13. The marginal cost of production for a new skateboard is MC(q) = 2q+75 and the fixed cost is…

A: The marginal cost of production for a new skateboard is MCq=2q+75 and the fixedcost is $2,000. (1)…

Q: 10. Given f(x) = ax²+bx+c, determine the values of a and b if ƒ'(x) = 6x + 3 and ƒ(2) = -1.

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Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

A: To find out the value of x and y that will maximize the revenue.

Q: Use the equation = 8 Σx" for x < 1 to expand the function in a power series with center c = 0. 6-x…

A: 11-x=∑n=0∞xn  for  x&lt;1 to expand the function 56-xin a power series with center c=0

Q: using a calculator, a) when is acceleration positive? b)what is the acceleration at t=6? What does…

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Q: The function f(x) = 1 + 1.5 In(x + 1) models the average number of free-throws a basketball player…

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Q: Can the Fundamental Theorem of Calculus be used to find ſ²₂ (²) dæ? ○ Yes, f(x) = is continuous on…

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Q: 6. a) What does it mean if the derivative of a function is always positive? b) Write an equation of…

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Q: Sketch a graph of the function (x + 1)³(x − 2)²(x + 4).

A: Function: We need to plot the graph.

Q: Set up the formula to find the balance after 12 years for a total of $3,000 invested at an annual…

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Q: Find the displacement over the time interval [1,8] of a helicopter whose vertical velocity at time t…

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Q: 19. Maximizing Volume Three hundred square inches of material are available to construct an open…

A: To find out the dimensions of the box that will maximize the volume.

Q: Solve the following system of Linear Equations in Three Variables 2x = 3y-6z-1 6y= 12z - 10x +9 3z =…

A: We have given three linear equations.   [1] 2x=3y-6z-1   [2] 6y=12z-10x+9   [3] 3z=6y-3x-1 We solve…

Q: A trough is 10 ft long and its ends have the shape of isosceles triangles that are 4 ft across at…

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Q: Find the function with derivative f′(x)=e^9x that passes through the point P=(0,4/9)…

A: given  f'(x)=e9x , that passes through the point P=(0,49)we know,  ∫eaxdx=eaxa+c

Q: Question The function f(x) = 3-13 + x| is graphed below. Use geometric formulas to evaluate the…

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Q: Find the value of integral for 0 ≤ t ≤ 6. Submit Question Sol22² + +y+z) ds, where C' is…

A: ∫Cx2+y2+zdsr→t=3cos5t, 3sin5t, t for 0≤t≤6

Q: Find a power series representation centered at the origin for the function f(z) = 1 (6-2)².

A: The given function is:f(z)=16-z2

Q: Q1: Answer the follwing below: A. Convert the linear programming model, into matrix canonical form:…

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Q: Simplify the trigonometric expression. sin(x) csc(x) + cot(x)

A: To simplify the given trigonometric expression.

Q: Suppose a survey shows that a mayoral candidate is gaining votes at a rate of 1800r + 1300 votes per…

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Q: Find the value of integral (2²+² +2²) ds, where C' is parmeterized by F(t) = (5 cos(5t), 5 sin(5t),…

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Q: Calculate the integral of ze over the surface of the box with 0 ≤ x ≤ 4,0 ≤ y ≤ 9,0 ≤ z≤ 8. (Express…

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Q: (a) The solution to f(x) > 0 is. (Type your answer in interval notation.) (b) The solution to f(x)…

A: The graph of a quadratic function f cuts x-axis in two points (-8,0) and (3,0). and the function…

Q: For the following polynomial function f(x)=x²-4, find the upper bound within which all of the real…

A: Given polynomial function is  f(x)= x^2-4

Q: A population of insects increases at a rate 200 + 121 + 0.31² insects per day (t in days). Find the…

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Q: Convert the point (x, y, z) = (-5, 2, 2) to spherical coordinates. Give answers as positive values,…

A: The given point x, y, z=-5, 2, 2. We have to convert this point into spherical coordinates.

Q: Question 13 El siguiente gráfico es una función: Verdadero Falso -3 B C 4 2- 10 0 0 2 5 6

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Q: Evaluate the indefinite integral. [5 sin³ 5 sin3 x cos xd + C

A: An integral,