Express the function f(x) = g(x)"(×) in terms of the natural logarithmic and natural exponential functions (base e). f(x) =

Q: Consider the following. u = -9i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

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Q: 14. What is height of the isosceles triangle with the greatest area that can be inscribed in a circl...

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Q: Find the derivatives of the following: 1.) x* + 2y = 6x 2.) f(x) = (tan 5x) (x + 2)²

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Q: 6) Find a) given: y=-+ (3x' +27) (use product rule) 2x² +5 given : y = b) (use quotient rule) 3x-4

A: Since you have posted multiple questions i can do first question (with both subparts)as per our comp...

Q: Compute the derivative of the following function. f(x) = 11 e 4x f (x) =

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Q: Q4: Find an equation for the line tangent to the curve 2y cos x = 4x sin y , at the point where x = ...

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Q: y)dx

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Q: Using Logarithmic Differentiation, find given that dx dy -3 sec-(VT) y = 4* (log, x)sech x

A: This question can be solved using properties of logarithm.

Q: Determine whether the planes are parallel, orthogonal, or neither. 9x – 8y + z = 6 x + 2y + 7z = 1 O...

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Q: A lighthouse is located 1500 feet away from a straight beach. The beam of light coming from this lig...

A: Light beam

Q: 3. Find the following integrals. Most of them (but not all) require partial fraction xdx 2х + 3 b) s...

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Q: 1. y = In (12x)

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Q: Convert en extay?) JA O ver the region Q4. polar form and e to e Valuate let y= 7sino dA = rdrdo How...

A: ∫02π∫1e 2ln(r)(dr)(dθ) here we apply the ∫u*vdx rule ∫u*vdx = u∫vdx - ∫du/dx∫vdxdx so here 2lnr u = ...

Q: 15.

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Q: Question 15 Write a chain rule formula for the following derivative. for w = f(x, y, z); x = g(s, t)...

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Q: ch of the following sequences. Always justify your ans 1+ncos(2m) sin n+ c - In с) а, d) а, 2n 3 n°

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Q: cos-1(2 x2)

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Q: Find the area of the triangle with vertices P(1, 2, –5), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the ex...

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Q: The sum of the matrices below gives a (3 7 21 10 0 and О Зх3 matrix O 3x 2 matrix O 2x3 matrix O 2x ...

A: Given: One matrix is of 3x3 and one is of 2x2. So, the sum of the above two matrices is not possibl...

Q: S cot5xdx ха

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: Find two unit vectors in 2-space that make an angle of 45° with 9i + 4j. NOTE: Enter the exact answe...

A: This question is based on dot product and mod of vector.

Q: 11. If x is a right endpoint and f'(x) is positive on the interval to the left of x, then f(x) has a...

A: Given

Q: 9 1/2-8 3/4+10

A: We have to find solution of given expression.

Q: Parametrize the line that passes through the point (1,2,3) parallel to the vector v = -3i + 7k.

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Q: +o0 Consider the power series (* – 1)" log n n=2 (a) Show that the resulting series when x = 0 is co...

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Q: L:x = 2 – t, y = 3 + 4t, L2: x = 4t, y = 1 – 16t, z = 4 – 8t z = 4 + 2t

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Q: Sketch the region bounded by the given curves, then find its area. y = x^2, y = 2x

A: Given,            The equation of the curves are y=x2 and y=2x.To find : Find its area.

Q: find the area of the Shaded Part AUsing Polar y =2X

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Q: * 00 %24 Suppose that a company introduces a new computer game in a city using television advertisem...

A: Given query is to find value of p at x = 0.

Q: 'R is Region on bounded by Obsegve heit the Region bound 'R in Petaur Coolinates is from 0= T to I B...

A: Here, the given limits of integrations are: x=0, x=y, y=0, y=6 Plot the region bounded by the given ...

Q: I+x 5. Show that y = has three points of inflection and they all lie on one straigl 1+ x2 line.

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Q: Two numbers greater than zero add up to 6. Find the numbers so that the product of the first number ...

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Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer ...

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Q: Find a polynomial equation that passes through the points (1,3), (0,1), (1,3)

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Q: Consider the following planes. 5x + 2y - z = 44 X - 4y + 2z = 0 (a) Find the angle between the two p...

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Q: Find the derivative of the following function. P(x) = 6x p'(x)=D

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Q: Find a formula for the nth term of the sequence. - 2, 1, 6, 13, 22, ... Determine the sequence's for...

A: We have to find the sequence's formula in terms of n. 

Q: 1. Let f(x) = 1 – x2/3. Show that f(1) = f(-1). This means that by Rolle's the- orem there should be...

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Q: How did he get this amount please explain step by step and clear line please (Sin'o -cos'o ) do 4sin...

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Q: (a) Oppositely directed to v = (9, – 18) and half the length of v. w =|(?,?) (b) Length 5 and same d...

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Q: 2 y = 12 – 3x", y= 4 – x- — х |

A: Let's find. 

Q: 180; 수i1 Question 8 Find the length and direction (when defined) of u × v. u = 4i + 2j + 8k, v = -i ...

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Q: 1)State the order of each of the following differential equations d²y a) 22 + y = x dx - dx2 b) y' +...

A: The order of a differential equation is defined to be that of the highest order derivative it contai...

Q: 4. y = 2x – x², y = 2x2 – 4x |

A: Since you have posted multiple questions i can do first question (no.4)as per our company guidelines...

Q: ne unknown initial temperature, 3. If the temperature of the air is 300K and the substance cools fro...

A: As per the guidelines I can solve only first question 

Q: An object is released from rest, at a height of 1250 feet above the ground. The height of the object...

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Q: z, Z2 Prove

A: If z =x+ iy then  z = x- iy. i2 =-1.

Q: Find the area of the region.

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Q: 3x dx 1+r4

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