) Pro Perties: 1-J-n(X) =-l) Ju(X)→ nisinteger ex Ji(x) JーてしX) =-)Jlx) 5てしx) y lx)=C!Jz(x) +cz Jz (V)→ Jz(X) ((l+ cz) =CJとしは) -ゴァレン) y(x) = What is the equation of y(x) for the question marked as it is the equation of the question in the first piece of clarification step by step

Q: Use the difference an+1 – an to show that the given sequence {a,} is strictly increasing or strictly...

A: This question is related to infinite sequence, we solve it using given information.

Q: Evaluate: lim sin(3x)cot(2x) O a. 2 O b. 3 2 O c. 3 O d. 2 3

A: limx→0 sin3xcot(2x) limx→0sin(3x)cos(2x)/sin2x so now it form 0/0 so we use la'hospital rule differe...

Q: Find the derivative of the function. -7 а) у — (2t – 3)2

A:

Q: Find the midpoint of the line segment joining the points corresponding to the complex numbers in the...

A: we know that Z=x+iywe have the point as A=-1-i2 in complex plane =(-1,-12) in cartesian coordinate (...

Q: Using differentials, determine the approximate increase in the surface area of a sphere if the radiu...

A: Topic:- application of derivatives

Q: If the length of the hypotenuse of a right triangle is 10, find the length of the other sides when t...

A:

Q: Given y = 3x2 and x = t2 - 1, find dy/dt for t = 1 %3D 1) 3 2) 6 3) 0 4) 12

A:

Q: (b) f(x) = (3x – 2a²)³

A:

Q: Find the slope of the curve at the given point. 8y' + 5x° = 3y + 10x at (1,1) The slope of the curve...

A:

Q: ass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a ...

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Q: Evaluate: A 3 2(,s–3) (c +C 15 4lnr None

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Q: Find the area of the surface obtained by rotating the curve y = 3x2 from point (4, 48) to the point ...

A: Let's find. 

Q: A shoreline observation post is located on a cliff such that the observer is 290 feet above sea leve...

A:

Q: State the domain, vertical asymptote, and end behavior of the function.   h(x)=−log(3x−5)+6   En...

A: The given function,     h(x)=-log3x-5+6

Q: a) State the number of edges in the complete graph K9, where each pair of distinct vertices is adjac...

A:

Q: Find the derivative and simplify: y = cotVt - 1 1 2tvt - 1 1 2t/t -1 tVE -1 1 tvt-1 QUESTION 9 SLL J...

A:

Q: When you are using the Midpoint Rule with n =3 to approximate x*dx. a) ]: What is Ax? Ax= b). If one...

A:

Q: Pro Perties: 1-J-n(x)=-1) Julx)→wisinteger ex Ja(X) J-z(X)=(=1) JalX) - Sてと) ex ゴろしてことづる 2) =c Jelx)...

A: In this question we have to find the equation.

Q: Determine if the following series converge or diverge. Make sure you state which test you use to mak...

A: To find the behaviour of the series we will use the following tests. a) For this series we will use ...

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A:

Q: Find fy if f(x, y) = sin 5x cos 5y O fy = 5sin 5x sin 5y fx = cos 5x cos 5y O fx = 5cos 5y cos 5x fx...

A:

Q: which expression would be easier to simplify if you used the comunative property to change the order...

A:

Q: Evaluate the following integral. 169 dx 3 x° - 13x Find the partial fraction decomposition of the in...

A: Given problem:-

Q: Find the nth Maclaurin polynomial for the function. 5x - 4 f(x): n = 4 x +1 P4(x) =

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Q: Use Euler's method with step size 0.2 to compute the approximate y-values y(0.2) and y(0.4), of the ...

A:

Q: 1. Show that the lines having the equations 4x- 3y + 12 = 0 and 8x 6y + 15 = 0 are parallel.

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Q: 13- Find the volume V of tetrahedron bounded by the coordinates planes and the plane z = 6 - 2x + 3y

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: 7. Find a and b such that f is differentiable everywhere. f(x) = {+b, S ax³, lx² + b, x 4

A:

Q: Question 3 (1 point) Suppose a, 3, and 7 are vectors such that = (3, 1, -5) and 7xa= (7, -7, 1). , b...

A: Find your answer below 

Q: A Moving to another question will save this ra Question 4 For f(x, y) = xexv, find fy (1, In 2) %3D ...

A: Topic:- derivatives

Q: QUESTION 17 How fast is the surface area of a sphere changing when the radius is 25 cm if the radius...

A:

Q: Set up (Do not Solvel) the volume of the solid whose base is bounded by the graphs of y = x + 1 and ...

A:

Q: Differentiate the function. t(t? + 1)4 V2t – 1 g(t) = In 5

A: Given  g(t) = lntt2+142t-15g'(t) = dlntt2+142t-15dtg'(t) = 1tt2+142t-15×dtt2+142t-15dt              ...

Q: 3 Which of the following properties describe the sequence n3 Jn=4 Bounded, not monotonic Not bounded...

A: We have to choose the correct option according to the given options using the property of sequence

Q: Evaluate: [(3x2 +9y²)dxdy Use inner limits 0 to y and the outer limits 0 to 2. а. 35 b. 30 O. 40 O d...

A:

Q: e the definition of error function, prove that %3D

A: Topic:- application of integration

Q: Find fy for f(x, y) = (In x) (sin x² y). O fy = (In x)(cos x²y)(2xy) O fy = (cos x2y)(x²) O fy = (In...

A:

Q: 3(х — х у? г) dx dy dz Evaluate O 5 O 8 O 6 O 7

A:

Q: 10- dA Where D is the region in the first quadrant bounded by D 2y-y2 x? = 4 – 2y. ein v

A: Using horizontal strip evaluate limit of the integral

Q: Find the differential dx for the function: y=V4+5x at x 0 and dx 0.04. 0 5 O 0.08 O 0.05 O 0.8

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Q: n series converges. Use interval notation with exact values. 10,10)

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Q: What is the center and radius of the sphere that has (1, -2, 2) and (3, 4, -12) as endpoints of a di...

A: Given query is to find the the center and the radius of the sphere.

Q: Let x, Y be positive real numbers. If x2 – y² =1, then x or y (or both) is not an integer.

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Q: Find the lines that are tangent and normal to the curve at the given point. y = 7 sin (TX - y), (-1,...

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Q: Determine the equation (both standard and general) of the following conic sections based on the cond...

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Q: Use your analytical skills to evaluate the limits. 2x2 + 3x – 9 lim x3. x2 +x - 6 - 2x2 + 3x 9 lim x...

A:

Q: Write an expression in factored form for the polynomial graphed below. 6+ 5+ -5 -4 -3 4. -1- -2+ -3 ...

A: Given query is to find the polynomial form the graph.

Q: A right circular cylinder is inscribed in a cone with height h and base radius r. Find the largest p...

A: This question can be solved by the concept of maxima and minima.

Q: A piston is seated at the top of a cylindrical chamber with radius 7 cm when it starts moving into t...

A: This is application of derivative problem

Q: If 0 is a first quadrant angle where P(u, v) = (-1, -2), tan 2 5 + V5 5 - V5 5 - V5 5 + V5 5 - V5 5 ...

A: here tanθ/2 =+ 1-cosθ1+cosθ so here x= -1 and y= -2  so from right angle  uv = 5 so cosθ = -1/5 ta...