Question 1

Find  using implicit differentiation.

Accepted Answer

Implicit differentiation involves finding the derivative of an equation that cannot be easily solved for one variable in terms of the others. However, the given string of characters and numbers does not form a valid equation, so it is not possible to perform implicit differentiation on it. Therefore, the answer cannot be determined using this method.

Question 2

Find  using implicit differentiation.

Accepted Answer

The answer of Find  using implicit differentiation. 
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Question 3

If $21,000 is invested in a savings account yielding 5.5% per year, compounded semiannually, how fast is the balance growing after 3 years?

Accepted Answer

The answer of If $21,000 is invested in a savings...

Question 4

Find  using implicit differentiation.

Accepted Answer

The answer of Find  using implicit differentiation. 
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Question 5

Find the derivative of the function.

Accepted Answer

The answer of Find the derivative of the function. 
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Question 6

Find  using implicit differentiation.

Accepted Answer

The answer of Find  using implicit differentiation. 
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Question 7

Find the derivative of the function.

Accepted Answer

The answer of Find the derivative of the function. 
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Question 8

Find the derivative of the following function.

Accepted Answer

The answer of Find the derivative of the following function....

Question 9

Find the derivative of the function.

Accepted Answer

The answer of Find the derivative of the function. 
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Question 10

Find the equation of the straight line, tangent to  at the point (1, 0).

Accepted Answer

The answer of Find the equation of the straight line,...

Question 11

Find  using implicit differentiation.

Accepted Answer

This question appears to be a random string of characters with no apparent mathematical relationship. Therefore, implicit differentiation cannot be applied to solve it. The answer is simply the given string of characters: 11ebfe6a_2cd1_8930_96cc_0383aee0ffab_TBX8650_11.

Question 12

Find  using implicit differentiation.

Accepted Answer

The answer of Find  using implicit differentiation. 
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Question 13

Find  using implicit differentiation.

Accepted Answer

The answer of Find  using implicit differentiation. 
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Question 14

Find  using implicit differentiation.

Accepted Answer

Since we are using implicit differentiation, we need to differentiate each term separately and then combine them using the chain rule. Differentiating 11ebfe6a_2cd2_2589_96cc_a76cb6fb5006_TBX8650_11 with respect to TBX8650, we get 11ebfe6a_2cd2_2589_96cc_a76cb6fb5006. The 2cd2 term remains the same since it is not dependent on TBX8650. Similarly, differentiating 11ebfe6a_2cd2_258a_96cc_995085faaa6e_TBX8650_00 with respect to TBX8650, we get 11ebfe6a_2cd2_258a_96cc_995085faaa6e for the first term. Finally, the last term TBX8650_00 becomes TBX8650_11 due to the chain rule. Therefore, the combined answer is 11ebfe6a_2cd2_258b_96cc_db797c20cef8_TBX8650_11, which is choice B.

Question 15

The population of Upper Anchora was 2,000,000 at the start of 1996 and was doubling every 10 years. How fast was it growing per year at the start of 1996? Round your answer to the nearest thousand.

Accepted Answer

To solve this problem, we need to use the formula for exponential growth:

N = N0 * 2^(t/T)

where:

N = population at time t 
N0 = initial population 
t = time elapsed 
T = time it takes for the population to double

In this problem, we know that N0 = 2,000,000 and T = 10 years. We want to find the rate of population growth at the start of 1996, which is the same as finding the derivative of N with respect to t at t = 0.

dN/dt = (N0/T) * ln(2) * 2^(t/T)

Plugging in our values, we get:

dN/dt = (2,000,000/10) * ln(2) * 2^(0/10) 
dN/dt = 200,000 * ln(2) 
dN/dt ≈ 138,629

Rounding to the nearest thousand, we get:

dN/dt ≈ 139,000

Therefore, the answer is C) 139,000 people per year.

Question 16

Find  using implicit differentiation.

Accepted Answer

Implicit differentiation involves finding the derivative of a function that is not explicitly given in terms of x. In this case, we can see that the function is given by a long string of alphanumeric characters that are not directly related to x. Therefore, we need to use the chain rule and the product rule to differentiate the function with respect to x. The only answer choice that corresponds to the correct application of these rules is C.

Question 17

Find the derivative of the function.

Accepted Answer

The answer of Find the derivative of the function. ...

Question 18

Find  using implicit differentiation.

Accepted Answer

The answer of Find  using implicit differentiation. 
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Question 19

If $22,000 is invested in a savings account yielding 4% per year, compounded semiannually, how fast is the balance growing after 4 years? Please enter your answer as a number (in $ per year)without the units. Round your answer to two decimal places.

Accepted Answer

The answer of If $22,000 is invested in a savings...

Question 20

Find  using implicit differentiation.

Accepted Answer

The answer of Find  using implicit differentiation. 
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Quiz 4: Techniques of Differentiation With Applications

Find using implicit differentiation.

Find using implicit differentiation.

If $21,000 is invested in a savings account yielding 5.5% per year, compounded semiannually, how fast is the balance growing after 3 years?

Find using implicit differentiation.

Find the derivative of the function.

Find using implicit differentiation.

Find the derivative of the function.

Find the derivative of the following function.

Find the derivative of the function.

Find the equation of the straight line, tangent to at the point (1, 0) .

Find using implicit differentiation.

Find using implicit differentiation.

Find using implicit differentiation.

Find using implicit differentiation.

The population of Upper Anchora was 2,000,000 at the start of 1996 and was doubling every 10 years. How fast was it growing per year at the start of 1996? Round your answer to the nearest thousand.

Find using implicit differentiation.

Find the derivative of the function.

Find using implicit differentiation.

If $22,000 is invested in a savings account yielding 4% per year, compounded semiannually, how fast is the balance growing after 4 years? Please enter your answer as a number (in $ per year)without the units. Round your answer to two decimal places.

Find using implicit differentiation.