Evaluate csc?x cot(cot x) dx. O- csc?(cot x) + C O cot(csc? x) + c O -In |sin(cot x)| +c O In sin(cot x)| + C

Q: Find dy/dx, using implicit differentiation. e*y – y = 8 Implicit Differentiation: dx Compare your an...

A:

Q: Consider the following. br (a) Set up an integral for the volume a solid torus (the donut-shaped sol...

A: We have to set up an integral for the volume of solid integral.

Q: 1. Find the volume of solids generated by revolving the regions bounded by the lines and curves: a) ...

A:

Q: У(x2 — у2 + 1)dх — x (х2—у2 — 1)dy %3D0 - -

A:

Q: is continuous at x=3, f (-1) =6 ? + a, x # 3 3b, x 3 ontinuous at x=2? - x > 0

A:

Q: Determine the value of x of the discontinuous function: * x – 1 x 3

A:

Q: У(xtanx + Inу)dx + tanxdy 3D C

A: The given equation is; y(tan x+ln x)dx+tan xdy=0

Q: The product of two positive numbers is 2304. Find the minimum sum of the two numbers. O a. 88 O b. 7...

A:

Q: c) Evaluate [| 4xy where D is the portion of x + y = 2 in the 1* quadrant.

A:

Q: Given the differential equation dy 10 + 15y = 5x dx Find the values for Q and u. Q = 2 A Q = -x В 3 ...

A:

Q: Calculate the iterated integral. r5 CT/2 (y + y2 cos(x)) dx dy -5Jo 120

A: Given query is to find the value of the individual integral.

Q: Find fo g, g o f, and g o g. f(x) = 2x, g(x) = x4 %3D (a) fog (b) gof (c) gog

A:

Q: Set up an integral for the area of the shaded region. Evaluate the integral ta find the area of the ...

A: Integration of shaded area

Q: Find the value of a that will make the function continuous at every real number. x 2

A:

Q: Evaluate the integral. tan(10 x) sec*(10 x) dx +C

A:

Q: x² + x – 1 3 - limx→ (X→∞ 2x2 — х + 1

A:

Q: The weak Axiom of Revealed Preference is satisfied by the choices of demand bundles xD(p) at any com...

A:

Q: 3t 3 dt +C 3lna A) True B) False

A:

Q: If $1500 is invested at an interest rate of 3.5% per year, compounded continuously, find the value o...

A: topic - exponential function

Q: Differentiate the function by using the definition of derivatives. f(x + h) – f(x) f'(x) = lim h-0 h...

A: Given :f(x)=x3f'(x)=limh→0 f(x+h)-f(x)h

Q: Sketch the graph of the given function. Check your sketch using technology. g(t) = (a) Indicate the ...

A: ?As per our company guidelines we are supposed to answer only one question at time or moreover 3 sub...

Q: Using the Taylor Remainder Theorem, find all values of x for which this approximation is within 0.00...

A: Using the Taylor Remainder theorem, the value of x is |x| ≤ 0.861

Q: Given the combined differential operators for a given differential equation (D + 7)³ (D – 2)(D + 1) ...

A:

Q: Given the differential equation dy + 4y = 5x dx

A:

Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms and radi...

A:

Q: 15n + 8 J n=1 Factor the difference an+1 – an to show that the given sequence {a, } is strictly incr...

A: The given sequence is ∑n=1∞an=∑n=1∞n15n+8

Q: 3 1 y = log| cos DIFFERENTIATE THE GIVEN:

A:

Q: 5. Does the function f (x) = -2x³ + 2x2 + x- 1 ever have a negative slope? If so, where? Explain and...

A: Topic:- function and it's properties and derivatives

Q: (a) Solve the following: (ii) log,(x+3)=1-log,(x-1)

A:

Q: 7. Absolute maximum at 5, absolute minimum at 2, local maximum at 3, local minima at 2 and 4

A:

Q: Determine if the given function is continuous at 3. * ( x + 7 |x – 2| f(x) = { x? – 2x x 3 9x 2х — 3

A:

Q: implicit differentiation to find the equation of the tangent line to the function defined implicitly...

A: Topic = Functions

Q: 27 for fC ), Obtain Fourier series of period where flx) = メ -下SYくO oく*くて

A:

Q: The radius of a circular puddle is growing at a rate of 15 cm/sec. (a) How fast is its area growing ...

A: Given :-  dr/dt = 15cm/sec  a) how fast its area growing when radius is 30cm  b) how fast its area i...

Q: Determine the value of x of the discontinuous function: * х — 1 = {3x – 3 -4x + 3 x 3

A:

Q: Find the radius of convergence and the interval of convergence. (-1)*(x + 9)² k2 + 9 k=1 Radius of c...

A: In this question we have to find the radius of convergence and interval of convergence.

Q: The sine-integral function, shown below, is one of the many functions in engineering whose formulas ...

A:

Q: Maximize f(x,,x,)= 24x, – x' +10x, – x %3D subject to *; 58 X, 54 x, 2 0, x, 20 and

A:

Q: The profit (in thousands of dollars) from the sale of x thousand packages of note paper is given by ...

A:

Q: 1. f(x) = 9-6x 2. g(x)= a. f(-1) a. g(2) b. f(1) b. f(a+b) c. f(3 + x) c. g(2 -x)

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Determine if the given function is continuous at O. * (x² + 3 f(x) = {3 – 4x (x – 12 x 3

A: This question can be solved using the concept of continuity of a function at a point.

Q: Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3 – 2x2 – 4x + 1, [-1, ...

A:

Q: Question Select your answer. On which interval(s) is ƒ(x) = 2 ln(x² +x – 20) continuous? (-00, –5) (...

A: Topic:- calculus  Note :- as per our guideline if more than one question uploaded than only first qu...

Q: lim +2-3t メー→3 十-3

A: Topic:- limits

Q: y' + y tan x sin x cos With y(4) = 0

A:

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region...

A:

Q: S sinrdr In(cosr – 3) ° cosr -3

A:

Q: lim f(x) 2. x2 6 7

A: Topic = Limits

Q: Find the exact length of the curve. y = (1 + x2)3/2, 0 < x < 2

A:

Q: (1) If you have been hired at an annual salary of $23,000 and expect to receive annual increases of ...

A: According to Bartleby's guidelines, We are allowed to solve only 1 question at a time. So, here's th...