Given that t (a) sin(t): (b) sec(t): = tan ¹(3), find the exact value of

Q: . A ship's course is set at a heading of 192°, with a speed of 30 knots. A current is flowing from a…

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Q: Find all critical points of the following function. f(x,y)=112x³ - 21x+5y² Select the correct choice…

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Q: Change from rectangular to cylindrical coordinates. (Let r 2 0 and 0 ≤ 0 ≤ 2π.) (a) (8√3, 8, -7) (b)…

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Q: Consider g(x) = 11 Determine the -intercept(s) of g. Report solutions in (a, g(x)) form.…

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Q: 3 4 A cylindrical tank with a height of 16 meters and a radius of 1 meter is full of water. How much…

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Q: d dy (^-1^²)

A: Let,  Formula of derivative:

Q: Consider the following parametric curve. Answer parts a and b. 64 dx x = 4t+y=4t-t=4 a. Determine in…

A: The given parametric curve equation is

Q: 1 2n 4. Let an = 27-1-2 The convergence (or divergence) of the resulting series, Σn=1 an can be…

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Q: Test the series below for convergence using the Root Test. 8n² 8 n=1 6n + 4 4) f(n)= The limit of…

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Q: Suppose R is the solid bounded by the plane z = 2x, the surface z = x², and the planes y = 0 and y =…

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Q: Let P(h) = 23 exp(−1.1h) where we are using "exp" to denote the exponential function with base e.…

A: The function is given byTo determine: The approximate value of the rate of change in  at

Q: Pickachu claims that the following integral can be solved they correct? Explain. [ 2² e²³ da

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Q: Create a function / equation that represents each of the following scenarios: i) A function where:…

A: Part 1 :Objective :Finding a function f(x) where

Q: Find the vertical, horizontal, and oblique asymptotes, if any, for the following rational function.…

A: R(x)=6xx+7

Q: Find the volume of the solid in R³ bounded by y = x², x = y², z = x + y + 12, and z = 0. V =

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Q: Practice 3: A table of values for mx) =/ (g(x)), f, g, f', and g h (1) x 1 2 3 f(x) g(x) f(x) g(x) 3…

A: We are given h(x)= f(g(x)).We have to find h'( 1).

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4 50x² + 3 (a) Find…

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Q: action with the graph below. 10+ 8- 8 6 4 2 6- 2 -44- -6- -B- -10 10 57 X=

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Q: Find the derivative a. f(x)= 6/(3x2-pi)4 b. f(x)=((3x2-pi x)4

A: (a) given,

Q: If 2 + 4y - xy = -x² then find the equations of all tangent lines to the curve when y = -1.

A: Consider the equation

Q: Use the formula for the sum of a geometric series to find the sum or state that the series diverges…

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Q: Find the absolute extrema of the function h(x)= (x, y). Absolute minimum point: Absolute maximum…

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Q: Find two other pair of polar coordinates one with r>0 and r<0 for  (6,π/4) (-5,3π/2) (3,-π/3)

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Q: Integrate: 1 -dy 36-y y³

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Q: Find all the critical numbers of the function. 2 f(x) = x³ + x²-21x+2 OA. 3 OB. -3, -3, 7/2 OC. -…

A: In this question, we will find the critical point.

Q: If ƒ(x) = 3x² – 3eª, find:

A: f(x)=3x2−3ex

Q: A company selling widgets has found that the number of items sold a depends upon the price p at…

A:

Q: Which of the following statements regarding absolute extrema is/are correct? An absolute extremum of…

A: The conditions for the existence of absolute minima and maxima in a closed interval for a continuous…

Q: Identify which of the following represents that of a sin, cos, tan, cot, csc, and sec function. के +…

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Q: Evaluate the following determinant. Show all steps 2 1 -1 1 3 0 -2 2 4

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Q: 3. Over what interval(s) of time is velocity negative? What does this mean in this scenario? 4. Over…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Use a graphing calculator to graph the following exponential functions on the same screen, an then…

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Q: Determine the intervals of concavity and the points of inflection for the following function: f(x)=…

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Q: (c) f(x) = (52–6)* 3x²+4 Solution: For this one we need to use the quotient rule first.

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Q: Let f(x) = -9e- f(15) (0)

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Q: Find the derivative of y = 5 ln(x). y=

A: Given,We have to find derivative of y with respect to x.

Q: S 1 In(7x) dx

A: I=∫1eln⁡(7x)dx

Q: Find the indicated maximum or minimum value of the objective function in the linear programming…

A: To find the maximum value of the objective function in the followinglinear programming…

Q: 4 Graph the piecewise function. (x+2/ x -2 ј χ piece of V-Shape point (-2,3) < piece of parabola

A:

Q: ind an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (5,…

A: Given that the point (0,0,0) ,(5,0,7) and (-4,-1,4) we have to find the equation of the plane…

Q: Below is the function f(x). -7 -6 5 4 -3 -2 5 3 -1 -2 23 -3 -5 -6 --7- 12 3 4 5 6 Over which…

A:

Q: Practice 1: Use the limit lim 8-0 sin =1 lim tan 41 1-0 sin 31 and trig identities to evaluate the…

A: Limt-0 tan(4t)/sin(3t)

Q: Q1: Find x(t) = ? for the following Differential Equation [x(t) + 2 x(t) = 10], where x(0) = 2.

A: x'(t)+2x(t)=10x(0)=2

Q: Answer the following True or False. If f(x) is a positive 1-1 function with inverse f-1(x) with f(a)…

A: The given statement If f(x) is a positive 1-1 function with inverse  with  and  then The figure of…

Q: 7. 1 Suppose f (x) is a continuous function and 0 < f (x) < ². Does ₁° f (x) dx converge or diverge?…

A: If f(x) is continuous then we can integrate between some limits.

Q: 1) Find the general solution of the following differential equation y" - 6y +9y = 0

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Q: 3 2 10 -7 -6 -5 -4 -3 -2 -1 TO -2 -3 -4+ X given below to 2 3 4 5 6

A:

Q: Test the series below for convergence using the Ratio Test. n4 0.82 n=1 The limit of the ratio test…

A: The power series is given byRatio test:

Q: Find the cartesian coordinates of the point  (4,3π/2) (√2, π/4) (-9,-π/6)

A: To find the Cartesian coordinates of the following points.

Q: Find the equation of the line tangent to the graph off at the indicated value of x. f(x) = 9+4 Inx;…

A: Given,