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Q: Find an equation of the tangent line to the curve at the point (3, 11). х — 1 y = X - + 9 ·2 y =

A: Note: As per our company guidelines we are supposed to answer the first question only. Kidnly ask th...

Q: B. Determine whether f(x) (x - 3) (2x + 1) (x + 4) is continuous at x= 3.

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Q: Find u, 3v, v – u, and 2u + 5u 3. u = (4, 3), v = (3, –3) 2. (a) 3

A: Given: u=4,3   v=3,-3

Q: 6 Convert your original pair of complex numbers to polar form. D= 1-j2 A = 2+ j3

A: To convert the complex number to polar form.

Q: S cot5xdx

A: Solve the integration

Q: Find a basis for the vector space of all 3 × 3 diagonal matrices. 100 o o o o o0 O0 0 o 0 10 00 o 0 ...

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (4...

A: Given: Consider points : P(0,0,0), Q(4,0,4), R(-6,-1,9)

Q: In the given first-order differential equation below, xy – 2y= x2In(x), y(1) = 5 (i) Identify the ty...

A: Given a differential equation.  

Q: 3The bell tower of the cathedral in Pisa, Italy, leans 5.6 from the vertical A tourist stands 105 me...

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Q: The masses m; are located at the points P;. Find the center of mass of the system. m1 = 7, m2 = 2, m...

A: Given : The masses mi are located at the point Pi.m1=7   ,m2=2   , m3=9P1=(-8,-8)   , P2=(-9,-8)  , ...

Q: Find the unit vector in the direction of v. V = -6.3i + 3.7j u =

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A: let the two vectors bev=<a , b , c>w=<-a , -b , -c>Since two vectorrs are in opposite di...

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

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Q: Sketch the graph of of the functian given below. f (#,y)= 9 -x ²-y²

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Q: d²y -6空+9= 0. dx2 dx 业

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Q: Next que Does the sequence (a,) converge or diverge? Find the limit if the sequence is convergent. a...

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Q: 6. Find the centroid of each of the given plane region bounded by the following curves: y? = x³, y =...

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -4i + 15j - k v = 4i + j – k O p...

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Q: -1.5 lim f(x) = エ→2 lim f(x)%3= lim f(x) 一93 lim f(x) = ー4

A: Topic:-  graph of function and calculus

Q: The second order differential equation for the instantaneous position s(t) for the vibrating mass is...

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Q: The derivative of a continuous function f is given by In your notes, create an interval table then d...

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Q: Use Lagrange multipliers to solve the following exercise. Find three positive integers x, y, and z t...

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Q: Find the centroid of the region bounded by the graphs of the functions y = 6x2, y = x2 +7 The centro...

A: This is a problem related to integration. By integration we will solve the centroid of intersected r...

Q: _Show that the following are metric on R": d,(x,y) max, isn Ixi - vil : d,(x,y) E X-Yil.

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Q: e'dx – x²dy = 0 = 0

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Q: Find a formula for the nth partial sum of the series and use it to find the series' sum if the serie...

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Q: Vn +1- Vn –1 Σ n n=1

A: Limit Comparison Test : Suppose that we have two series ∑an and ∑bn with an≥0, bn>0 for all n. De...

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. ||...

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Q: Find the general solution to the differential equation y''-4y'=8-16x

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A: We have to find the equation of plane.

Q: 6. Do the following tasks using Mathematica. // sin(9x2 + 4y²)dA , where R is the region in the firs...

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Q: Determine the point(s) where the tangent to the curve is horizontal: y = (x2 + 2x + 1)(x2 + 2x + 1)

A: Given problem:- Determine the point(s) where the tangent to the curve is horizontal:   y = (x2 + 2x ...

Q: rert your original pair of complox pu

A: We have to convert in polar form of the given complex number

Q: 2 - Find: (a) 3a ,(b) a +b , (c) a-b , (d) la + b|, (e) a- b|, (f) 3a – 4b and (g) | 5a + 2b|. If 1....

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Q: 3x Find the limit: lim,→7 I+2

A: This is a limit problem of the function. Please follow the procedure given below.

Q: Question 23 a population recovery project is implemented to raise the population of the birds. The r...

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Q: f(x) = 4x^3 − 3x^2 − 18x + 5. (e) Find the inflection points of the graph of f, if any.

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Q: 32. Packaging. A parcel delivery service will deliver a package only if the length plus girth (dista...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Find an equation of the tangent line to the curve 2(2² + y?)? = 25(x² – y²) (a lemniscate) at the po...

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Q: Find the direction cosines and angles of u and show that cos2 a + cos B + cos y = 1. (Round your ans...

A: We can solve the given problem as follows:

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

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Q: -u, 3v, v - u, and 2u + 5v. 3 Find (7, 6), v = (4, –4) = n 2 (a) 3 (b) 3v (c) V - u

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Q: Consider the following. u = (4, -5, 8), v = (-1, -6, 3) (a) Find the projection of u onto v. (b) Fin...

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Q: Find a possible formula for the function graphed below. The r-intercepts are marked with points loca...

A: Intercepts:X-intercepts:(3, 0), (-4, 0)(x-3)=0  and (x+4)=0Terms: (x-3)(x+4) in numeratorVertical as...

Q: Question 4 Given: f (x) = x +7 and g (x) = x² . Find the limit: lim, -3 9 (f (x)). O (E) O 18 O 12 O...

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Q: Write down an equation of the tangent line to the graph of 2x-3 f(x) = at a= – 1 %3D X+4 y 11 y= 6. ...

A: Topic: function and derivatives

Q: Let f(æ) = (In æ)® f'(x) = f'(e?) =

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Q: The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the...

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