Given f(x) = 3 csc (x), write the equation of the line tangent to y = f(x) when X = 4π 3

Q: Subject: Calculus Topic: Limits and Increment method of differentiation. I. Limits A. Evaluate the…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Use a table of integrals to find the area of the region bounded by the graph of y= 5 0 Click here to…

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Q: T-Shirt Profit The latest demand equation for your Yoda vs. Alien T-shirts is given by 4--50x+700…

A: Given demand function:- q=-50x+700 q=number of shirts you can sell in one weekx=charge of one shirt

Q: Find the slope of the tangent line to the curve - 2x² - 1xy - 2y³ = 80 at the point (-4, — 4). -…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 3x², x = 1, and y = 0,…

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Q: Find the directional derivative Du f(x, y) of the function f(x, y) = 6xy² + 3x²2 at the point (-1,2)…

A: Let's find directional derivative at given point and direction.

Q: If f(x) = 3x³ - 6e*, find: f'(x) = ƒ' (3) = ƒ''(x) = = f''(3) =

A: Given, f(x)=3x3-6ex

Q: A function is said to have a horizontal asyl infinity exists. Show that each of the following…

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Q: 2 Find the equations of the tangent line and normal line (in the form: ax + by = c) to the curve y³…

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Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: As per the guidelines when multiple sub part question are posted in single pic then we are supposed…

Q: For the function f(x) given below, evaluate lim f(x) and_lim_ƒ(x). X→∞ X118 Provide your answer…

A: The given function f(x)=-(x+1)(x2+1)(3x2-2) We have to find the limx→∞f(x) ,limx→-∞f(x)

Q: g'(x) h'(x) (or the one sided limit, as required): 5. In each case, find g'(x) and h'(x), then find…

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Q: 287. [T] Use a CAS to graph the solid whose volume is given by the iterated integral in spherical…

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Q: (fof-¹)(x) = 26² 3x 2 -44x+1 2 3(3x² + 4x +) 2 )-1 44

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Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series 1 1 1 ਲੋਕ · + √3+√4 1 +7

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Q: O(fg)' = fg' + gf' O(fg)' = f' + g' O(fg)' = f'g' finding the derivative of the product of two…

A: (fg)' = ? this is the formula of derivative when two function are multiplication (fg)' =f'g +fg'…

Q: (a) Find the direction for which the directional derivative of the function f(x, y) = 9xy + 5y2 is a…

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Q: Annual sales of bottled water in a certain country in the period 2007–2014 could be approximated by…

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Q: Find (2¹+3) d. dx

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Q: For the function f(x) given below, evaluate lim f(x) X18 and lim f(x). 8118 3 f(x) = −x6 + x³ + x² +…

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Q: Consider the function f(x, y) = 3x²+y²-5 x²-2y A. Find and sketch the domain of f. B. Find and…

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Q: Complete the steps below to implicitly take the derivative of the original equation. 6x + 9y = 2 dy…

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Q: Write the first three terms of the sequence whose nth term is given by the formula. 1. an-n-1 1 4n…

A: To find the first term , we need to substitute n =1 in an . For second and third term substitute n=2…

Q: Find where the line y = 7 - x is closest to the point (0, 0) and then find where the line y = 7 x is…

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Q: The graph below is the function f(x) -5-4-3-2 > 2 t 242 + -2 Select all statements below that you…

A: Function is define at x=2 , and it is 4 . Therefore a) f(2) is defined.

Q: Suppose you have a triangle whose height is 10 times its width. If the base of this triangle has a…

A: We need to find area.

Q: Use the Ratio Test to determine whether the series is convergent or divergent. n200 200 Σ n! n = 1…

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Q: Which of the following is a proper substitution for the following Bernoulli's equation? xy'…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: T -T/2 (-1) 4 2₁ 1 0 -1 -2₁ -3- 0 ㅠ 6 TT/2 1 TT

A: Given query is to find the equation of the graph.

Q: 3 If f(x) = 6x³ ln(5x), then ƒ'(x) = f''(x) = ƒ'''(x) f ƒ (4) (x) ƒ (5) (x) = = =

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Q: Use Newton's method to approximate a zero of the equation x³ + x + 4 = 0 as follows. Let #1 1, be…

A: need to use the Newton's method to approximate the zero of the equation.

Q: True or False. (SHOW complete proof) d²y 2. tany = C₁ cotx + C₂ is a solution to dx² +2 cotx +2tany…

A: If the given equation is a solution , then it's must satisfy the DE. So we have to use derivative to…

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region = = x², y =…

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify an = 15 n=1…

A: By using the Ratio Test to  determine whether the series is convergentor divergent.∑n=1∞ n9n

Q: FIND THE SOLUTION TO THE FF. D.E. 1. y" -7y"+11y' - 5y = 0.

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Q: 10.5 rad 10

A: Topic - Area of sector We are given θ=0.5 radradius=r=10we know thatArea of sector=θ2π×πr2

Q: Find a power series for the function, centered at c. 5 f(x) 5-x C = -4

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Q: Question For the function f(x) given below, evaluate lim f(x) X18 and lim f(x). 8118 f(x) = 1 − 2x²…

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Q: dy Use implicit differentiation to determine given the equation ² + y = -3. dz dy da Question Help:…

A: equation given is  x2 + y5 = -3 find the  dy/dx =? further calculations given below

Q: Factor f(x) into linear factors given that k is a zero of f(x). 3 f(x) = 4x³ + 3x² - 22x+15; k=1…

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Q: Identify the shift for the graph of f(x) = 6-ln (x - 6) O 1. up 6, right 6 O 2. down 6, left 6 ○ 3.…

A: f(x)=6-ln(x-6)

Q: Work Problems ) Let r(t) = (√√9-1, ¹5, 2t In t). (1) A) Find the domain of r(t). B) lim r(t) =? 1-2…

A: Note : As per our Guidelines , we can solve first question as your question solution not too small .…

Q: Let R be the region bounded by y = x,x=1, and y=0. Use the shell method to find the volume of the…

A: figure:-

Q: Consider the differential equation -4y"" + 5y" - 5y' - 3y=0 with y(0) = -3, y'(0) = 3, y" (0) = 2.…

A: Consider the differential equation, -4y'''+5y''-5y'-3y=0 with  y0=-3, y'0=3, y''0=2. By taking the…

Q: Determine the maximum area of a rectangle inscribed in the ellipse include any units. Provide your…

A: To determine the maximum area of a rectangle in the ellipse x264+y281=1.

Q: Question The graph of f'(x) is given below. On what interval(s) is the value of f(x) decreasing?…

A: given graph of f'(x)

Q: Adriana has an exercise regimen at the local gym that includes using a treadmill, stair machine, and…

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Q: Let F(x) = f(xº) and G(x) = (f(x))°. You also know that a = 7, f(a) = 2, f'(a) = 8, f'(a³) = 13 Then…

A: We can find the below steps using the properties of derivative.

Q: he graph of f(x) is given below. On what interval(s) the value of the derivative f'(x) positive?…

A: Given query is to find the interval where f'(x) is positive.

Q: Suppose that for a particular product, the number of units x produced per month depends on the…

A: We can solve the given problem by using the concept of derivatives.