3x² – 7x + 9 at a = –1

Q: Consider the llowing. u = (3, 9), v = (4, 4) %3D %3D (a) Find the projection of u onto v. 6.6 (b) Fi...

A: Given :  u = <3,9> v = <4,4> To find: a) projection of u onto v b) vector component of u...

Q: Differentiate the function. f(x) = sin(x) In(4x) f'(x) =

A: ddxu(x)v(x)=v(x)ddx(u(x))+u(x)ddx(v(x)) ddx(sin(x))=cosx ddx(ln(ax))=aax=1x ddxu(x)v(x)=v(x)ddxu(x)-...

Q: A school wishes to enclose its rectangular playground using 160 meters of fencing. Suppose that a si...

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Q: Write out the first four terms of the series to show how the series starts. Then find the sum of the...

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

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Q: x 3 For the function f(x)= 3 27 ·x+39 2 - 4 What is the range of value over which the function is de...

A: The given function is: f(x)=x33-34x2-272x+39⇒f'(x)=x2-32x-272&f''(x)=2x-32

Q: What is the largest possible product you can form from two non-negative numbers whose sum is 56? The...

A: To find: largest possible product you can form from two non-negative numbers whose sum is 56

Q: Given x+ y +z= 2 and Po(1,0,1), find the following. (a) Find the equation for the tangent plane at t...

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Q: State the order of the given ordinary differential equation. (sin 8)y" - (cos 0)y' = 9 Determine whe...

A: Find your answer below 

Q: find the orthogonal trajectory of the family of curves r^n = a sin n theta

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Q: Given the following information about the hyperbola, find both its standard and general form FOCI: (...

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Q: belore it becomes the cheaper alternative. 3. Cost of Solar Panels Suppose the average cost of elect...

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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: Find u x v, v × u, and v × v. u = 6i + 8k v = 3i + 8j – 4k. (a) u x V (b) (c)

A: This question is based on cross product.

Q: For the geometric sequence, 15 45 135 5, 2' 4 ' 8 What is the common ratio? What is the fifth term? ...

A: The geometric sequence,5, 152, 454, 1358,........

Q: Functions 1. The following table shows the most medals won by any country in the given year of the O...

A:   There are two relations: Relation 1: Olympic year and the number of the most medals by any country...

Q: 2x e² dx 9 + e4x

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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 A csc (x) = sec (3A-x) Ans. π/6   Please include the explanation on the solution. Thank you...

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Q: Find the General Solution of the following differential equations: 1. (D4 + 24D3 + 216D² + 864D + 12...

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Q: Given u = , v = -5i - j, and w (AB) is defined by the points (1, 6) and (-2, 8). a Find v in compone...

A: This is  a problem of vector. By dissolving vector in x and y parts we will convert it into componen...

Q: dy at the point (1, ). dx nt) For the equation given below, evaluate 41 +7 x– 5v dy at (1, ) - dx

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Q: Find the angle 0 between the vectors in radians and in degrees. u = (2, 2), v = (4, –4) (a) radians ...

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Q: (8) To verify that (x+1) is a factor of P(x) = x' + 2x-5x-6, which of the following is correct? P: T...

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Q: (e*-y- 2x+y³ cosx)dx +(3y²sinx – e*-Y)dy=0; y(0) = (i) Identify the type (ii) Set up the solution st...

A: We will solve the differential equation. 

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

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Q: Find all the local maxima, local minima, and saddle points of the function. 2 f(x,y) = x - 4xy +y + ...

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Q: Question 7 x+6 Finding the limit: lim3 x+2 O (E) 2/7 18

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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: Consider the following. = (3, 7), v = (4, 6) (a) Find the projection of u onto v. (b) Find the vecto...

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Q: Determine whether the lines are parallel or identical. x – 8 – y + 9 z + 4 %3D 4 -5 3 x + 4 – Y - 6 ...

A: Given query is to find the lines are parallel or identical.

Q: Question 3 Given f (x) = 2x and g (x) = 4x + 3. Evaluate g (f (-)). (E)

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Q: 7. f(x) = e2 + e Answer

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Q: Given vector u (4, –1) and v = (-1, –5) , determine the value of v + 2u in component form.

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Q: Determine any planes that are parallel or identical. (Select all that app O P,: -90x + 60y + 30z = 2...

A: Find your answer below 

Q: 2. For the function g(x)= 2x^3 − 3x^2 a) State the domain of g(x). b) Determine the critical number...

A: The given function is: g(x)=2x3-3x2⇒g'(x)=6x2-6x=6x(x-1)

Q: 3. A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German...

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Q: Consider the series > an where n=1 (бп + 3)(-10)" an = 137+3 blem you must attempt to use the Ratio ...

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Q: y' + 2.5y = 1.6r 25 yy' – 4x = 0

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line x = 3t, y = 1 – ...

A: Given parametric equation of line x=3t, y=1-t, z=3+5t

Q: Evaluate: 1 dx 2(х — 1)? 1 О а. + C 2(х-1) O b. * + C 1 2х + C 1 d. + C 2(х-1)

A: The integration of the integral is 1/[2(x-1)2].

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: Answer is infinity 

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. In (n + 1)...

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Q: 4.) If a force of 5 Ib produces a stretch of one-tenth the natural length L ft of a spring, how much...

A: This is a problem related to work application of the spring. Based on the general formula we will so...

Q: Consider the following two series A = E and B= n=1 n=1 Which of the following statements is TRUE? O ...

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Q: show thad the diff. equ is hamageneaus and Salve it

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Q: The farce with maghudes of 300 ewtins 200 ewtons, and 400 newtons ait on an object at angles of 3.45...

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Q: an+1 Assume that converges to p = . What can you say about the convergence of the given series an n ...

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point (8,...

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Q: Find the magnitude of v. V = 4i %3D ||v|| =

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