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3 years ago

Given that f(1)=2 and f'(1)=4, find the derivative of f(x)loge(x) when x=1

Mathematics

1 answer:

inessss [21]3 years ago

3 0

Answer:

Step-by-step explanation:

loge(x) is ln(x)

f(x) × ln(x)

Differentiate using product law

[ln(x) × f'(x)] + [(1/x) × f(x)]

x = 1

[ln(1) × f'(1)] + [(1/1) × f(1)]

(0 × 4) + (1 × 2)

0 + 2

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What is the equation 22-2h=-5?

Marrrta [24]

Answer:

h = -9

Step-by-step explanation:

Simplifying

5h + 22 + -2h = -5

Reorder the terms:

22 + 5h + -2h = -5

Combine like terms: 5h + -2h = 3h

22 + 3h = -5

Solving

22 + 3h = -5

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Add '-22' to each side of the equation.

22 + -22 + 3h = -5 + -22

Combine like terms: 22 + -22 = 0

0 + 3h = -5 + -22

3h = -5 + -22

Combine like terms: -5 + -22 = -27

3h = -27

Divide each side by '3'.

h = -9

Simplifying

h = -9

4 0

3 years ago

Camila wanted to create a second garden to grow even more vegetables. To determine the dimensions of her second garden, she used

OlgaM077 [116]

Using proportions, considering original measures of 10 feet, we have that:

The horizontal measurement of the second garden is of 7.5 feet.

The vertical measurement of the second garden is of 15 feet.

<h3>What is a proportion?</h3>

A proportion is a fraction of total amount.

In this problem, the total amount is the original measures of 10 feet.

The horizontal measurement has a scale factor of 75%, hence:

$h = 0.75(10) = 7.5$

The vertical measurement has a scale factor of 150%, hence:

$h = 1.5(10) = 15$

You can learn more about proportions at brainly.com/question/24372153

3 0

2 years ago

A triangle ABC is inscribed in the circle, (ABC = 65° and AB=AC. Find (BDC.

podryga [215]

Answer:

∠BDC=50°

Step-by-step explanation:

∠BDC=∠A[angles at the same segment)

∠A= 180-(65+65)=180-130= 50°

so, ∠BDC=50°

<em>MARK ME BRAINLIEST</em>

3 0

3 years ago

Does dose anyone know how to solve this?

solniwko [45]

Answer:

Width of rectangle = 6 m

Length of rectangle = 11 m

Step-by-step explanation:

Let width of rectangle = w

Length of rectangle = 3w-7

Area of rectangle = 66 m²

We need to find length and width of rectangle

The formula used is: $Area=Length \times Width$

Putting values and finding w

$Area=Length \times Width\\66=(3w-7)(w)\\66=3w^2-7w\\3w^2-7w-66=0\\$

Solve using quadratic formula: $w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

We have a=3, b=-7, c=-66

Putting values and finding w

$w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\w=\frac{-(-7)\pm\sqrt{(7)^2-4(3)(-66)}}{2(3)}\\w=\frac{7\pm\sqrt{49+792}}{6}\\w=\frac{7\pm\sqrt{841}}{6}\\w=\frac{7\pm29}{6}\\w=\frac{7+29}{6}\:,\:w=\frac{7-29}{6}\\w=6, w=-3.6$

We get values of w as w=6 and w=-3.6

As we know width cannot be negative, so considering w = 6

So, Width = 6

Length = 3w-7 = 3(6)-7 = 18-7 = 11

So, Width of rectangle = 6 m

Length of rectangle = 11 m

6 0

3 years ago

If $480 is shared in the ratio 4:3:5, the difference between the largest and the smallest share is

Alex17521 [72]

Answer:

Step-by-step explanation:

........

the answer is 80

8 0

2 years ago