Find the plane determined by the intersecting lines.

Q: 2 | [ cos ti- sin 7t j+sin 6t k]

A: Given :

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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Q: Find the limit. lim x--s+ (x + 5)2

A: The given limit,limx→-5+1x+52

Q: Differentiate the function. t(t² + 1)4 g(t) = In V8t – 1 - g'(t) =

A:

Q: 1. An airplane is flying towards a radar station at a constant height of 6 km above the ground. If…

A: Given:  Data is given

Q: Calculate the volume of a cylinder inclined at an angle 0 = 30° whose height is h = 9 and whose base…

A: Solved below.

Q: Find the slope of the tangent line to the curve - 22? – 3xy – 4y = 115 at the point (1, – 3).

A: The detailed solution is given below Thank you

Q: 1. Evaluate: f(x) = S- dx %3D 3D 0 14x2

A: To find the integral of given function. Note : As per our company guidelines we are supposed to…

Q: Find the slope of the tangent line to the curve below at the point (4, 7). 2x + 3y + /2xy =…

A:

Q: Find the arc length parameter along the curve from the point where t= 0 by evaluating the integral…

A: Given problem:-

Q: Solving Separable Equations: 1. dy - x-5 dx y2 2. = dx 3x²(1+ y?)

A:

Q: 3n². {(-1y"-1, 4n2 - 1 n-1

A:

Q: position in feett seconds after it starts moving is given by s(t)=D9t/t erage rate of change in…

A: Topic:- application of derivatives

Q: Evaluate the following integrals: 1. S (cos x – sin x) dx 2. ſ cot²x dx 3. S (sin x + x) dx

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: 1-r 1 can deduce, by applying the formula at r = -9, that 10" -1/8 1-9 Select one: O True O False

A:

Q: Determine the antiderivatives of the following functions: 1. S(x+ 1)100dx 2. S(x²+x)1º(2x + 1)dx 3.…

A: Topic:- application of integration Note:-  as per our guideline if more than three subparts posted…

Q: Find the number(s) b such that the average value of f(x) = 6x2 42x + 70 %3D on the interval (0, 6 is…

A: Integration application

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = x =…

A: P(x) has roots of multiplicity 2 at x=1 so (x-1)2 is a factor of P(x).  P(x) has roots of…

Q: The limit lim (x - cos) x00 is an indeterminate form of type 0 . o. Select one: OTrue O False

A: Topic:  Indeterminate form of limit

Q: Find the following limit. Answer in either integer or fraction form. NO DECIMAL APPROXIMATIONS. If…

A: Use l hospital rule for finding the limit.

Q: Find the Taylor series of  f(x)=ln(2+x) around the point x=-1 by reaching the term n=4

A:

Q: [5]. Calculate the exact values of the following definite integrals. Srsin(2.x) dr (a) o dx x² - 4…

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Q: of the indicated portion of the curve. K.

A:

Q: 1) Find the hundredth derivative of p (x) = (x+ x³ + x")1º (1 + x²)!' (x³ + x³ + x7). Justify your…

A:

Q: If a vector v lies in the third quadrant and makes an angle n with the positivex - axis and…

A:

Q: he velocity vector? Di+O i+O k

A: Topic:- application of derivatives

Q: x- 3 – dr x' +9.x (a)

A: find integral separately

Q: Find the volume oF the solid obtained by rotating about the x-axis the region by y= x' and the lines…

A:

Q: Find all angles, 0° < 0 < 360°, that satisfy the equation below, to the nearest 1oth of a degree. 4…

A:

Q: Find the interval of convergence for the follov ing power series E(coth n)x" n=1

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Q: Solving bernoulli differential equation -2xy=2xy

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Q: x-3 dx r³+9x +9.x

A:

Q: If f(x) = 2 g(x) find g'x) in terms of f'(x). O g(x) = f(x)/4 O g(x) = f(x)/2 O 'x) = f(x) - 2 O…

A:

Q: 13. Identify the polar coordinates of the point with the given rectangular (-6, - 63) 47 6, 3 7T 6,…

A: Given rectangular coordinates are (-6,-63) which is (x,y)We know that polar coordinates are in the…

Q: 13. Use a polar integral to find the area of the region defined by - Cos 0 KA<T

A:

Q: Evaluate the given limit |. lim %3 1- x2 2. lim CosX

A: 1. limx→0+1x-1ex-12. limx→∞x1cosx

Q: V1. y=x' +1, the axes, x=3; 0X 1 y =-, , y-axis , y=1 & y =3 ; OY

A: Here we have to find the volume.

Q: The area of the region that lies to the right of the y-axis and to the left of the parabola æ = 2y –…

A: topic- Area bounded by curves

Q: Qu 1 a). Determine the LaPlace transform of the differential equation y"- y = e2 ; y(0) =0 and y"(0)…

A:

Q: 1. When do find a volume by the slic (a) A type I region rotated abou (b) A type I region rotated…

A: Given question:- When do find a volume by the slicing method? Circle all that apply.

Q: As x approaches 5 the value of 2x+ 8 approaches

A: Substitute the value of x in the given equation.

Q: Find the velocity and acceleration vectors in terms of u, and ug- = 5 sin t and 0= 5t = ( 5 cost)u,…

A: Topic:- application of derivatives

Q: 00 Determine whether the series omverges absolutely, conditionally, or n=1 not at all.

A: The given series is ∑n=1∞-1n-1nn2+1. A series ∑n=1∞un   is absolutely convergent if ∑nun  is…

Q: Let -1 <a < 1, the series r na" is the power series representation of the n-1 function Select one:…

A:

Q: Given the graph of the function f(x) below, find the following Write "DNE" if the limit does not…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: a) Eliminate the parameter to find a (simplified) Cartesian equation for this curve. (b) Sketch the…

A: We have to find a Cartesian equation for this curve and sketch the parametric curve.

Q: 5. Use Linear Approximation to estimate e(-0.01). Show work

A: answer is in next step

Q: Jse symmetry arguments or similar to find the total charge in sphere of radius Rothat has charge…

A:

Q: x+729 If k(x) = complete the table and use the results to find lim k(x). X+9 X-9 -9.1 -9.01 -9.001 -…

A: Using L hospital rule find limit

Q: The limit lim (x In( cos x-00 is an indeterminate form of type 0 0o. Select one: True False

A: