Find dy dx dy if y dx = x³ + 8x + 6 x² - 5

Q: Given |F₁ = 85 N and |F₂| = 125 N and they are acting at an angle of 14 a) Find the magnitude of the…

A: Topic:- application of vector algebra and trigonometry

Q: Find the generated volume f(x)=sin(x) and the lines x=0 and x=π and rotate about the x-axis V=π^2…

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Q: A fast-food restaurant has a cost of production C(x) = 14x + 108 and a revenue function R(x) = 82.…

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Q: 3. a. f(-2)= b. f(1) = c. lim f(x) =

A: Note :- This is multiple sub parts questions and according to our company guideline we can do…

Q: 1. Simplify the following: a) b) 8 45x X 3 15y 20y 18x 2 (x² − 9) 5 2 x+5x +6

A: Recall: a2-b2=(a+b)(a-b)

Q: Find the mass of the two dimensional object that is centered at the origin. A plate of radius 10…

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Q: What is the radius of convergence of the series R=2 b. R=1 R = ∞ d. R=0 a. C. +∞ xn n+1 -?

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Q: 1. Factor the following completely. a) 16x² - 100 b) 15x²-3x - 12

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Q: Use the graph of f (x): = Enter the exact answer. 1/1/00 below to find a number & such that |ƒ (x) -…

A: The objective is to find the value of delta.

Q: uppose a company's profits are given by P = x2y, where x is the amount of money they spend on TV…

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Q: Σa_₁ (-_^_-) n² 'n n+1 Select one: O True O False is convergent.

A: To determine whether the following statement is True or False.∑n=1∞ nn+1n2 is convergent.

Q: Part B The growth of a similar population was investigated after spraying a kitchen bench with Glen…

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

Q: sinh³ (x) cosh (x) dx =

A: we have to evaluate the integral ∫sinh3x cosh8xdx use the formulas,…

Q: Given r(t) = 9t² i + 18tj and t = 1, find the tangential and normal components of acceleration. ат…

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Q: = Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: solved

A: Please refer to the image below

Q: 12. Find the area bounded by the curve y = 3x(x - 2)² and the x axis.

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Q: Which of the following is a linear differential equation? O da-t{1+t²) sec² ædt = 0 O…

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Q: Find the the macl following:

A: Here, we need to find the Maclaurin series of tan-1x1+x2. Now,        Maclaurin series of function…

Q: dv/du = (u — v)² — 2(u - v) - 2.

A: Here, the given DE is: dvdu=(u-v)2-2(u-v)-2...(1) Substitute u-v=p differentiating it with respect…

Q: If the relation represents a function, find the domain and range. (have it in interval notation.

A: Question: If the relation represents a function, find the domain and range. (have it in interval…

Q: 3. xy = a², y = 0, x = a, x = 2a.

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Q: 12 76 Exercises (if possib 15. y = 5x + 3 17. y = -x - 1 19. y − 5 = 0 0 1 23. 7x - 6y = 30 020…

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Q: 13. A radioactive isotope has half-life of 43 days. What percent of the original amount remains…

A: Topic:- application of algebra

Q: Consider the set A = {1/2^{n-1}: n\epsilon \mathbb{N}}. Show that Inf(A) = 0. WITHOUT USING LIMITS

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Q: 00 3) Use the integral test to determine whether the series k=1 ke-2k diverges converges or

A: We have to check weather the given series is convergent or Divergent in nature.

Q: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in…

A: Please refer to the image below

Q: Consider the points A(3, — 5, 1), B(7, — 1, 0) and C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

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Q: A colony of bees lives in an ever-growing beehive that is in the shape of a sphere. Use The volume…

A: 20 new bees are added to the hive each week. Each bee in the colony needs 5 cm3 of space. (space…

Q: Find the shortest distance r1 between the two lines given by r₁ (t) = (3 + t, 3t, 5 – 4t) and r₂ (t)…

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Q: Let f(x) x³ + 6x² 36x +11. = (a) Use the definition of a derivative or the derivative rules to find…

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Q: You have an investment of $22,400.00 that you want to double in 11 years. If interest is compounded…

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Q: If an > 0 and an converges, then (-1)"an converges. Select one: O True O False

A: Absolute Convergence test :The absolute convergence test states that, If ∑n=0∞anconverges then,…

Q: 4. Find the area bounded by the curve a²y = x³, the x - axis, and the line x = 2a. Solve in two…

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Q: kmarks Window Help 0 -7- The graph of f(x) is given below. Which of the three conditions for…

A: Given qiestion:- The graph of the f(x) is given below. Which of the three conditions for continuity…

Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x² – 3x + 229, where…

A: Given that: Cx=0.01x2−3x+229Rx=429−2x To find the area between the graph.

Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

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Q: 7л Determine the exact value of cot 6

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Q: What is the interval of convergence of the series + +∞ (x+3)" 2n O a. (-5, -1) O b. [-5, -1] O c.…

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Q: Solve: dz + 4x = yº O 11r¹y+y¹¹ = C O 1lry - y¹¹ = C O 11xy + y = C O 11x¹y - y¹ = C

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Q: f(x, y, z) = 2 ≤ x ≤ 10,0 ≤ y ≤ 4,0 ≤ z ≤4

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Q: Question 1 Find lim f(x) given the graph of f(x) shown below. x-5 +++ -10-9-8-7- Y 3 4 5 6 7 9 10 x

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Q: For the function ƒ(x) = x² – 11, find the equation of the tangent line at å = −12.

A: Given function f(x)=x2-11 We have to find the equation of tangent line at x=-12 Derivative of a…

Q: 3.4k Σ Evaluate 7k

A: Given ∑k=3∞3.4k7k

Q: Let f(x) = x³ + 3x² (a) Use the definition of a derivative or the derivative rules to find f'(x) =…

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Q: h. Use the second derivative to identify intervals where f(x) is concave up. (-0,3) X i. Use the…

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Q: = 4) Use the recursion formula Stan" xdx to calculate Stan³xdx tan" X n-1 n-1 -ftan”-2 xdx

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Q: Which of the following represents a possible equation for a sinusoidal function with an amplitude of…

A: answer is in next step. please give a like!!

Q: (5) the tangout to y = √9+2x of Latex x = 4 passes through the orign a) Find a 67 for this value of…

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Q: 3.2 Bus A leaves Worcester at 08:00 and travels north along the N1 at 50 km/h. Bus B leaves…

A: Given that The Bus A leaves at 8:00 with speed of 50 km/hand bus B leaves at 10:00 with 70 km/hSo,…