04) Find dy /dx for the following functions: a) y².cotx= [sin(x.y)]-¹ b) y = (lnx + x)tan

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Q: Let C be a nonempty subset of a bounded set D. Why does inf C and sup C exist? Show that (c) inf D ≤…

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Q: In the process of calculating the inverse LaPlace of the function: F(s) = -21 - arctan (15) you…

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Q: Find the average value over the given interval. f(x)=x²+x-7; [0,14] The average value of f(x) = x² +…

A: We have to determine the average value

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Q: 1) In the triangle that determined by the points P.Q and R, find a unite vector perpendicular to…

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Q: 2. If ū=-27 +57-3k, then || is

A: We will find the value of u→ in the following step.

Q: F(x)=2x-x/x-2x+1 ysis to sketch the following inction.

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Q: 2. In π 2 π ln - 4 e* cos(ex) dx

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Q: Give the interval of definition for the solution to the initial-value problem 1 (t-1)y"+…

A: answer is in next step.

Q: 1. For the vectors v = and u = a. Find v-u b. Find ||v|| and ||u|| c. Find the angle between v and…

A: On solving this we will get

Q: Find t for the following terminal points, 0 ≤ t < 2π (a) P(0, 1), = √2 2 (b) P ( - 1/², 1/²³). 1 = t…

A: Let's find t for the given  terminal points.

Q: Factor. 7c²-7t² 7c²-7²2² = (Factor completely.)

A: Given expression 7c2 - 7t2

Q: 1. For the function f(x)= x³ +5x²+2x-8, explain how you determine which integral values of x you…

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Q: 4) Find the intervals where the following function is concave down: ππι y = 2sin² (2x) - 4x, x € -

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Q: 4. If x - 2y = -1 and x + 2y = 3, then a +y is equal to O 1 O ♡

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Q: 5- x(in y-In x)dy = y(1 + In y-In x)dx

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

Q: 1 50° || 5 1191 10% what is

A: Here we have to find the value a→·b→=?

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Q: the function. 4) ((x) = fx+3, for x>0 [x², for x ≤0

A: Given above function is x+3, for x&gt;0x2, x≤0

Q: Consider the function f(x) = x²-4 x²+2x-8 (a) Find the x and y intercepts of f(x) (b) State the…

A: Explanation of the answer is as follows

Q: Q5) Evaluate the following integral by using Partial Fractions Method 2x²-3x+2 y = √ ₁²₂²³² Sa dx…

A: Given problem:-

Q: Q3)Evaluate the following integral by using Trigonometric Substitutions Method. dx = √√√9x² +9 y =

A: Let's solve integration by using trigonometric substitution.

Q: Problem 1 Give a general solution of the differential equation y""+3y"=0. m

A: As per guidelines we have to solve one question Please repost other questions again

Q: If c = 192, ZA = 79° and LB = 55°, b ; Assume ZA is opposite side a, LB is opposite side b, and ZC…

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

Q: Find the derivative of the function. y=-5e-4x+1 dx 11

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Q: A population of bees are dying at the rate proportional to the size of the initial hive, H(t), where…

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Q: Y=t-2√√x + X

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Q: The doubling period of a bacterial population is 10 minutes. At time t = 80 minutes, the bacterial…

A: Given: The doubling period of a bacterial population is 10 minutes. At time t =80 minutes, the…

Q: Consider the function f(x) = sin(4x). a. Determine f '(x). b. Determine f"(x). c. What is the…

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Q: Use the following equation to answer the questions: y = 4 cos (1/₂) 4 Find the period Find the…

A: Explanation of the answer is as follows

Q: Find the exact length of the curve. 1 y = + 10x37 6 1 ≤ x ≤ 3

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Q: 2. Show that the function. 5x²³²Bin 12 F(x)= โ x2 0 (x=0) is not of bounded variation on [1,1].…

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Q: Evaluate cos¹3xdx. a. 0.245 b. 0.267 O b O d c. 0.229 27 d. 0.196 e. none of the choices

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Q: Q3. Find the cross product of the vectors and .

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Q: We have that 10 177 g (17x + 7) dx O a) 4 O b) O c) 17 Od) -4 24 17 g (t) dt = 4 I so what's the…

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Q: Find the directions of maximum and minimum change of fat the given point, and the values of the…

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Q: Prove that In( +VI-X²³) = In ( ¹+ √1-x²) sech ¹(x) =

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Q: 2. The sum of the roots of the quadratic equation x²-x-6=0 is given by 2 O

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Q: 1. For the curve given by R(t) = (cost + tsin t)i + (sin t − t cost)j + (t^2)k, find a. the length…

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Q: (d) f(x)=√√x-8 (e) h(x)=√x+2

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Q: x² +5 x<2 Given the function f(x) = { -5x + 1 x ≥ 2 (i) Determine the values of the following: (a)…

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Q: R: y² = 4x, x² = 4y axis of revolution: x = 4

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Q: Find the derivative of the transcendental function. y = 6e^x/(x^2+5)

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Q: The polar equation r(0) = 4 +5 sin(0) is graphed below. 15+ 14 13 12 11 10 8+ 7 6 + 5 O 4+ 3 2 + +…

A: Above question is solved.

Q: Effect of Luxury Tax on Consumption Government economists of a developing country determined that…

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Q: Hand written plz 9. Find inverse Laplace: es S

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Q: Calculate the iterated integral. 1 '1 15 15(u - v)5 du dv

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Q: Find lim h-0 f(8+h)-f(8) h if f(x)=x² +9.

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Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…

A: We have to determine the value of initial amount