Let f(x) = 2 csc (7x) f'(x) = - -14 cot (7x) csc (7x) X

Q: Find the average value gave of the function g on the given interval. [0, 6] g(t) = 5

A: The given function gt=51+t2 We have to find the average value of the function on the interval 0, 6.

Q: 0 Which of the following has the indeterminate form f(x): = f(x) = f(x) = = f(x) = = In 3x 9-x COS…

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

Q: need help with number 1. The table to use is attached.

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Q: 3. Find the work done by a force of. f(x) = ln(x) from Newton, along the a-axis X 3 x = 1m to x =…

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Q: Calculate the sum of the series S n = 2 - 8(0.9)" Σ an n = 1 whose partial sums are given.

A: We want to calculate the sum of the given series whose partial sums are given.

Q: d (sin(x) dx cos(x), sec²(x) csc²(x) 2 sin(x)cos(x) cos²(x) cos²(x)-sin²(x) cos²(x) n cosx - simx a…

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Q: Find a Cartesian equation for the curve given by the polar equation r = 4 sin 0. 1. (x - 2)² + y² +…

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Q: Which one of the following could be the graph of the curve given parametrically by x(t) = t³ - 2t,…

A: We need to choose correct option.

Q: nx + 2y = xy+1 (n is a constant) dx Answer: Cx2 y + xyn - 1 = .0.

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Q: Let i=√√-1, Find the determinant for the matrix 2 3-i 4-i 3+1 -2 2+i in the form a + ib and find the…

A: Follow the procedure given below.

Q: The function s(t) describes the position of a particle moving along a coordinate line, where s is in…

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Q: csc 2x lim *+0 csc 3x O O O O 23 N|C I N|W 3 2 23

A: Topic - limits We are given, limx→0-csc 2xcsc 3xwe know thatlimx→0sin xx=1anscsc x =1sin x

Q: dA dx Suppose that a dimension x and the area A = 2x² of a shape are differentiable functions of t.…

A: Given query is to differentiate with respect to t.

Q: Which of the following may be solved by an immediate application of L'Hôpital's Rule?

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Q: 51-54 Find an equation of the tangent line to the curve at the given point. 52. y =√1 + x³, (2, 3)

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Q: Find the limit of the rational function (a) as x→∞ and (b) as x→→∞0. 3x5+7 2 X-X+X+7 f(x) = a. lim 5…

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Q: (Multiple Choice) Let h(x) be a polynomial with 3 real zeros and two imaginary zeros. Which of the…

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Q: se trigonometric identities to simplify the expression. swer 1 cot² (0) + cot(0)cot (1-0) # Keyboard…

A: Given query is to simplify the expression.

Q: Find lim f(x) and lim f(x) for the given function and value of c. x-c* X-C™ |x +41 x+4 f(x)=(x +…

A: To determine the limit of the function

Q: 1. Evaluate. (a) In (e) (c) 26 (e) tan-¹ (1)

A: To evaluate the given mathematical expressions.

Q: given point. 24. y = x + tan x, (TT, TT)

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Q: Write the solution of the linear system corresponding to the reduced augmented matrix. 10-3 01 1-4…

A: NOTE: Refresh your page if you can't see any equations. . the given augmented matrix is  here the…

Q: Find the rate of growth after 6 hours.

A: To find the rate of growth after 6 hours.

Q: 18). Two drugs are injected into a patient. The quantity of the first drug, A, still left in the…

A: Amount of drug A still left in the body is given by  A=70-5t Also amount of drug B still left in the…

Q: = Assume that all variables are implicit functions of time t. Find the indicated rate. dy dt dt x² +…

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Q: 3. f-¹(x) = ± √T 4. None of these 5. f¹(x) = √T Find the inverse of f(x) = x7. 1. f(x) = x 7 2.…

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

Q: 7–46 Find the derivative of the function. 38. y = sin(t + cos √t)

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Q: Find a function that satisfies the given conditions and sketch its graph. lim f(x)=2, lim f(x) = ∞o,…

A: The function is not defined when x approaches 5 from left or right. So it must be an asymptote and…

Q: Determine whether the series Σ (3) n=0 n is convergent or divergent, and if convergent, find its…

A: need to find out that the series is convergent, or Divergent and also need to find its sum

Q: 2. A zircon sample contains 4000 atoms of the radioactive element 235U. Given that 235U has a…

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Q: For the following geometric series, please find the first term "a" and the common ration "r": 2 2 2+…

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Q: Find the limit of the rational function (a) as x→∞o and (b) as x→- 00. 2x 5 +7 x5-x²+x+2 f(x)= a.…

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Q: Find the length of the arc of the curve y = ln x from z = 1 to x=3. Use integration by trigonometric…

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Q: 31. At the beginning of a study, a certain culture of bacteria has a population of 80. The…

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Q: Find dp/dq if p=In(q8+9)

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

Q: Use the given graph of f to find a number 8 such that if 0 < |x - 3| ≤ & then [f(x) − 2| < 0.5. y 8…

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Q: Consider the equation: |x+1| +5=3x a) Solve to find all potential solutions. b) Verify each…

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Q: Power Series for Elementary Functions Function 1 = 1(x-1) + (x - 1)²(x - 1)³ + (x - 1)4+ (-1)" (x -…

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Q: Question Use a power series to represent the function f(x) Sorry, that's incorrect. Try again? n=0…

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Q: f(x) = 2x + 3 if x <3 if x ≥ 3 - 3 Find lim f(x), or explain why it does not exist. X-3

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Q: Find the area of the region bounded by the polar curve r = √6 sin 0 as well as the rays 0 = 0 and 0…

A: Area under the polar curve r=f(θ) and the rays θ=a,θ=b is given by, A=∫abf(θ)22dθ

Q: Exercise 3 ( Let f(x)= x³-9x² + 15x + 7. Find: 1- Areas of increasing and decreasing. 2- Local…

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Q: The voltage V (volts), current I (amperes), and resistance R (ohms) of an electric circuit like the…

A: Given data:- The voltage V (volts), current I (amperes) and resistance R (ohms) of an electric…

Q: Find a simplified expression for tan (sin¯¹(7-))

A: Given :tansin-1x7

Q: Find all values of n such that y = xn satisfies: x 2 y ′′ − 12y = 0

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Q: 3.1. Express each of the following complex numbers in the form x+iy: (a). (√2 – i) – i(1 – √2i),…

A: Note : As per our Guidelines , we can solve first three subparts . Please repost remaining parts.

Q: 1. a.Determine the equation of the function that has zeros (roots) at 2, 2, 5 and the yint = -10. b.…

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Q: Use the Comparison Test to determine whether the series is convergent or divergent. Σ n = 2 1 n8/9 -…

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Q: G. The graph of f(x) is given below and a table of selected values is given for the function g(x). 2…

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Q: State the exact value of all six trigonometric function values of 3, given that a = 33 m and b = 56…

A: a= 33 m  b= 56 m  this is right angle triangle is given  so we can find other side  c2 =a2+b2 c2 =…