Express the following as the logarithm of a single quantity. log 74 + log 716 Choose the correct answer below. O A. log 74 O B. log 74° O C. 16 log 74 ,7 O D. 7 log 74'

Q: (f) One of the following functions is harmonic: (A) (z + y)² (B) x² + y? (C) 고-y (D) (x – y)?

A: To determine which one of the following functions is harmonic.A x+y2B x2+y2C x2-y2D x-y2  

Q: Find /| v'e*** - y? when D={(x,y)E R? | x>0,y>0,x² + y?<1}

A:

Q: Solve. V1-3x = 8 Select the correct choice below and, if necessary, fill in the answer box to comple...

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Q: 8. rix of A using LU decomposition. 4 6 0] 6 12 2 8 4 A = %3D

A:

Q: Check which one of the following functions is a solution to the differential equation y" -y= sin x. ...

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Q: Solve. 1 5 8 5x + 20 - 16 X-4 Select the correct choice below and, if necessary, fill in the answer ...

A:

Q: How many eggs do you need? b. If you use all the butter and get enough eggs, how many dozens of cook...

A: For 2 cups of butter we need = 3 eggs  For 1 cup of butter = 3/2 egg  For 1.33 cups of butter= (3/2)...

Q: Let S(x) = 4x$ (x' – 6). Evaluate the following specific values of f: (A)(2) = (B) (4) =

A: The objective of the question is evaluate the values.

Q: solution

A: We have to find the derivative of the given function using the rule of derivative

Q: Solve 3 5 |1 1| + 2 1 +|-8| 4 12 1 ol

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Q: 11. What is the lim (5x? – 4x + 3)? x-2 А. 13 В. 14 С. 15 D. 16

A: 11.limx→2(5x2-4x+3) Recall: polynomial p(x) then limx→ap(x)=p(a) Soln: let p(x) be 5x2-4x+3 therefor...

Q: 4. ; Consider the vectors u = (4, 1, 2) and v = (2,-1, 5). You may also assume as given the followin...

A:

Q: Find the arc length of y = 7r +1 over the interval [0, 2]

A: y = 7r + 1 arc length=∫02 1+(dy/dr)2dr dy/dr = 7' arc length=∫02 1+(7)2dr arc length=∫02 50dr arc le...

Q: Given that a, =3 and if a is even; a 5a -1 if a is odd. Then tern number four, i.e., a, is

A: Series

Q: Find the derivative of the function. h(t) = (t + 5)2/3(2t? - 1)3 h'(t)

A: We will use following formulas to find h'(t) 1.d/dx(xn)= nxn-1 3.d/dx(uv)=U dv/dx +vdu/dx

Q: Find range of function f(x): b) f(x)= (2 – x)V 4x – x²,xE (0, 4) -

A: b)   f(x)=(2-x)4x-x2 , x∈(0,4)         plot the function on the graph    

Q: 6. 4 -6 -4 -2 -2 24 6 -6 -4 -2 -2 4 6 -4 -4 -6 -6 (a) Graph of f (b) Graph of g 2. 2.

A: Refer to the graphs given in item 2. Determine the interval/s where f and g are continuous. Identify...

Q: Use long division to find quotient  x3 + 2x + 4        x - 3

A: By using long division find quotientx3+2x+4x-3

Q: Find the intervals of increase or decrease. Find the local maximum and minimum values. Find the inte...

A: As per as our guide lines i am supposed to answer only one question .  

Q: Instructions: Use Rules of Differentiation to differentiate the following functions. Show your solut...

A: Using product and division rule for differentiation. 

Q: How much should Chad have in a savings account that is earning 2.75% compounded monthly, if she plan...

A: According to the problem, we have

Q: Consider the series. 14 14 14 14 + ... + + 3 32 33 34 This can be written as a geometric series in t...

A:   Given problem :-       To find:- First term C, common ratio r, sum of given series

Q: Anika started a fund that would pay out $2,500.00 every month in perpetuity. The fund earns 3.99% co...

A:

Q: Is the series divergent or convergent? With complete solution and explanation +o0 (-1)" n! n=1

A:

Q: Find the length of the arc formed by x? = 10y³ from point A to point B, where A (0,0) and B = (100, ...

A:

Q: 3. Show that the Maclaurin series for f(x) = (1+x)*, where k is any real number, is (1+ x)* = E k(k ...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) In(x), n = 4, c = 3 PĄ(x)

A:

Q: Falco Inc. financed the purchase of a machine with a loan at 2.03% compounded semi- annually. This l...

A:

Q: 2. Summation (a) Write the sum 50+ 51 +52+..+ 99+ 100 in summation notation. (b) Compute the value o...

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Q: A sample of tritium-3 decayed to 85% of its original amount after 4 years. How long would it take th...

A: Given problem:- A sample of tritium-3 decayed to 85% of its original amount after 4 years. How long ...

Q: Solve the differential equation below: y"+9y=(6+3)x^2+5cos[(9+2)x]; when x=0, y=0, y′=3

A: Given that y''+9y=6+3x2+5cos9+2x   ; when x=0,y=0, y'=3Solution :y''+9y=6+3x2+5cos9+2xD2+9y=9x2+5cos...

Q: finalize answer free of logarithms and radicals express. Express final answer equated to a constant ...

A: The given problem is solved below in detail.

Q: we might learn in a physics class that the air pressure can be found as a function of altitude h fee...

A: We have to find the if the function is increasing or decreasing and its concavity.     According to ...

Q: Consider the function below. Is g continuous on (0,1]? on (1,4]? why or why not? if æ 4.

A: Explanation of the answer is as follows

Q: Evaluate the integral cot 2x /cot² 2x – 15 csc 2x +C 4 1 -Arcsec (B -Arcsec csc 2x +C 4 1 Arcsec 2/1...

A:

Q: How much money should John invest today into a fund that earns interest at 3.50% compounded quarterl...

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Q: Answer this question by showing all work and formulas used to solve: Determine the equation of the t...

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Q: Suppose z is a differentiable function of x and y implicitly defined by the equation E : 2³ + xe² = ...

A: Given function z3+xez=2-y3+lny3 cos(y+1)

Q: (9 – x² , x 10 [x – 4] (a) f(2) (b) f(12.5) (c) f(-3) (d) f(5) (e) f(1.5)

A:

Q: Solve of AABC. 2. ABCD is a square of side 6 cm. If a rectangle of length (2x- 1) cm and width (x + ...

A: Area

Q: Suppose you have a dataset with m = 1000 examples and n = 200000 features for each example. You want...

A: Explanation of the answer is as follows

Q: Kelly received a $39,650 loan from a bank that was charging interest at 4.50% compounded semi-annual...

A: Given : Principal Amount (P) = $39,650 Interest Rate (r) = 4.50 % = 0.045 Compounded Semi - Annually...

Q: A particle is moving with the given data. Find the position of the particle, s(t). a(t) = t - 9t + 6...

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x f(x) = 1 + x+ 4...

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Q: EXAMPLE 1 Finding a Volume Find the volume of the region D enclosed by the surfaces z = x? + 3y? and...

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Q: 16. Sketch the region enclosed by y = |x| and y = x2 - 2, and find its area.

A: To evaluate the area between the following curves

Q: Find the third derivative of the given function. o1) = ()2 - 3)* g"(t) =

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Q: Precalculus Solving Trig Fur Solve each equation

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Q: Evaluate the integral dx 2xx - 3x? A -In 4 V2x + V3 +C 1 V3+ 2x B In +C 2/3 V3-2 +C In 2/3 "/7x + /3...

A:

Q: Find the Taylor polynomials of orders n = 0.1, 2, 3. and 4 about x = 20 and then find the nth Taylor...

A: f(x)=2xx0=-1