Find the DE of the family of plane curves described and sketch some of its members. Straight lines tangent to the circle x? + y? = 4.

Q: method; Inz VUna)²-y²

A:

Q: From one bank of the Abra river the angle of elevation of the top of a cliff on the opposite bank is...

A:

Q: Find lim,-1 f(x) -3 -2 -1 2 O lim,→-1 f(x) = 2 O lim,-1 f(x) = 1 O lim,-1f(x) = -1 Lx→-1 f(x) = –1 O...

A:

Q: 21. J(X) = 3x² – 4x + 1 - 200 29. f(t) = 2t + 1 t+ 3

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: y = In tan(x – A) +B

A: Some Important Formulas 1. ddxtanx = sec2x2. ddxsin-1x = 11-x23. sec2x = tan2x +1

Q: Differentiate the following functions. Use any applicable method unless otherwise specified. 1. a. v...

A:

Q: e is an angle in standard position with T(-20, -21) on its terminal ray. Find cota 21/20 -20/21 20/2...

A:

Q: #37

A:

Q: Evaluate the following integral. In (7x/6) V 4 e' cos e' dv In (x / 6)

A:

Q: A sequence a1, a2, a3,.... satisfies the property that an+1 is the average of the first n terms if n...

A: We have to find a2 . 

Q: Solve the equation for 0 <0 < 2T = 4+ sin 0

A:

Q: Determine whether the function x2 + 2 x > 2 f(x) = { 6 = 2 is continuous at the 4x x < 2 - given poi...

A:

Q: 24 The partial fraction decomposition of f(x) can be written in the form of g(x) where x2 -4 x- 2 x ...

A:

Q: Kindly show illustration and solution. The highway department is planning to build a picnic park fo...

A:

Q: dy Find dx for the equation xy + sin(x + y) = 123643543 dy -y dx x+cos(x+y) dy -y-cos(x+y) da -cos(r...

A:

Q: lim f(x) if f(x) = x--1 if x 2

A:

Q: Describe the transformation that can be applied to the parent function g(æ) = e* to obtain the graph...

A:

Q: Write the equation of the parabola in standard form sati 1. Vertex (1, – 9); Focus (- 3, - 9)

A:

Q: revolutions while the wheel is going 430 feet. Find the diameter of the wheel to the nearest whole n...

A: Given query is to find the diameter of the wheel.

Q: What is the point of the intersection of the angle of the unit circle pi/2? (show full solution)

A: Given the query is to find the point of intersection of π/2 on unit circle.

Q: 1. A projectile is fired with an initial speed of 400 m/sec. Find two angles of elevation that can b...

A: Given that: Initial speed, u=400 m/secDistance of target, H=3000 m.

Q: The cost CC (in dollars) of manufacturing xx number of high-quality computer laser printers is C(x)=...

A:

Q: Q3. A) Test the continuity of the function f(x): F(x) = 3- x 2 <x <3 3< X < 4 X = 4 X +1 2х -1 B) Fi...

A:

Q: Find the stationary points and determine if each stationary point gives a local maximum or local min...

A:

Q: e is an angle in standard position with T(-20, -21) on its terminal ray. Find cote O 21/20 O -20/21 ...

A:

Q: The number x (in thousands) of cat flea collars demanded each year when the price of a collar is p d...

A:

Q: Question: (Show complete and systematic solutions) The expression sin't cos tdt , when evaluated wil...

A: Given that ∫sin4t cos4tdtSolution :we know that sin2t=1-cos2t2,cos2t=1+cos2t2∫sin4t cos4tdt∫1-cos2t2...

Q: A given partial fraction 2x A B Cx + D + + (x – 1)(x+4)(x² + 1) X- a X+4 x² + 1 A can be evaluated a...

A:

Q: Given: cos () cos () – sin() sin() (유)x 1. Identify the Trig identity that corresponds with the expr...

A:

Q: PC World provided ratings for the top five small-office laser printers and five-corporate laser prin...

A:

Q: Palt A: IS fex) continuous at x= -2? (xx1 K7-2 fcx)=C2x+7x6-2 Xニー2 Justify answer. part B: EXPlain w...

A:

Q: A forester wants to measure a tree's height. Assuming that the tree is at a right angle to the plane...

A:

Q: nd all valuesx=a where the function is discontinuous. For each point of scontinuity, give (a) lim f(...

A: Given the query is to find indicated limits and discuss the continuity of the function.

Q: Simplify and evaluate. cos 70° cos 25° + sin 70° sin 25°

A: Answer: The solution is as shown below:

Q: с — с2 C - f(c): 1+c² Find f(tan c)

A: The given function is  f(c)=c-c21+c2

Q: Determine whether the function x2 + 2 x > 2 f(x) = x = 2 is continuous at the 4х — 2 x < 2 given poi...

A: First of all we will find the left hand limit at X equal to 2 and then find the right hand limit X e...

Q: Find the average of the function h (x) == 4x² – x + 5 on the interval [-2,3]. %3D Average=

A: Given query is to find the average value of the function for the interval [-2,3]

Q: Solve the following problem on separate paper being sure to show all supporting work. Answer any "in...

A:

Q: 2 – 100 Evaluate the integral: (A) Which trig substitution is correct for this integral? Oz= 100 sec...

A: Given: ∫6x2-100x4dx

Q: Consider the integral sin-'(5x) dæ: Applying the integration by parts technique, let U = and dv dx %...

A:

Q: Differentiate the following functions. Use any applicable method unless otherwise specified. 5. m =...

A:

Q: 4x3+3x2- 30x-33 da Consider the indefinite integral x2 - 9 Then the integrand decomposes into the fo...

A:

Q: Given that Y = 3wt- 7wt Jo

A:

Q: A savings and loan association needs information concerning the checking account balances of its loc...

A:

Q: 14 (x),6 dr 36 + [g(x)]?

A: We have to solve the value. 

Q: V1+ x² dx 2.

A: Follow the procedure given below

Q: S from a = to b = = %3D sin I O In sin () + In sin() O cot -cot 플 | 4 2 O In (sin )- In(sin ) O none...

A:

Q: Find all the values of x such that the given series would converge. Σ (5)" (,n + 4) n=1 The series i...

A: The given series,        ∑n=1∞xn5nn+4

Q: Given the parametric equations, x = 2t + 5 and y = 3t2 - 1, find the point on the graph at time, t =...

A: We can find the point as below

Q: Circadian rhythms are biological that oscillate with a period of approximately 24 hours. That is, a ...

A: Let's find.