f(x) : x?

Q: Derivative of h(x)= (x+5)^4(2x-1)^2

A: Given query is to find derivative of the expression.

Q: Draw a dependency diagram, and write a chain rule formula for and where w = k(r) and r=h(p.q). Choos...

A: Use chain rule

Q: A rectangle is bounded by the x-axis and the semicircle y = V 81 - x² (see figure). What length and ...

A: Consider 

Q: A landscape architect in a botanical garden plans to enclose a 2000 square foot rectangular region a...

A: Let the length= x foot  Breadth= y foot  Area = lb = xy  2000= xy .   

Q: 3n (2х — 1)8 п4 + 1 n=1

A:

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the ...

A: Question- Set up an integral for the area of the shaded region. Evaluate the integral to find the ar...

Q: Derivative of f(x)= 4x/5x^2-1

A: We can find the derivative as below.

Q: Consider the two functions fx) = 5x + 5 and g(x) = 5x - 5. a. Determine the instantaneous rate of ch...

A:

Q: In 2011 a country's federal receipts (money taken in) totaled $2.46 trillion. In 2013, total federal...

A:

Q: 3-Sketch the graph of y=-3 (6x+3t/2)-2 on the domain cos Application

A:

Q: E Valua te :- 1X+2y) dx dy when

A: Given problem:- ∫∫D(x+2y)dx dy  Where D : y=2x2 , y=1+x2

Q: Determine if the series is absolutely convergent, conditionally convergent, or divergent. Vn (a) (-1...

A:

Q: Daily crude oil production by Pemex, Mexico's national oil company, for 2008-2013 could be approxima...

A: Find the derivative using power law of derivative. 

Q: Compute the derivative function f'(x) algebraically. HINT [See Examples 2 and 3.] 9x f(x) b (k # 0) ...

A: Given:- The function is, f(x)=9xk-b (k≠0) To compute: - Ther derivative of the given function f'(x) ...

Q: Determine the interval(s) on which f(x)=square root(x/x-4) is continuous.

A: Given query is to find the interval where function is continuous.

Q: 12. f (x) = x³ – 2x² + x – 1 ; (-4,5)

A: Function is called as an continuous if its right hand side and left hand side limit is equal.

Q: Find the point of intersection of the line through (1, -3, 1) and (3, -10, 5), and the plane given b...

A:

Q: A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being pulle...

A:

Q: Find the value of k, and write the equation. Estimate the population of the country in 2015. After h...

A: We will find the exponential function. 

Q: If the marginal costs for the production of æ power drills can be modeled by the function C'(x) = 51...

A: Answer: The solution is given below:

Q: Evaluate the indefinite integral as an infinite series. ex- 1 dx 2x Σ + C n = 1

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Q: Given arccos(r) = arccot(z²), solve for dz/dr

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Q: Find the derivative of the function. 6z 12 - 5 u² – u?+5du g(r) = 32

A:

Q: If m and n are odd integers, then so is m · n.

A: We will use the definition of an odd integer to prove this statement.

Q: 2x2 + 4x-30 Below is the graph of f (x) x2 -9 -6- -5- 3 2 10 -9 -8 -7 -6 -5 -2 2 -3 Evaluate the fol...

A:

Q: 5. For f(x) = 2x + 8 and g(x) = 4 - 2x, determine the domain of f(g(x)) %3D SESEASAN

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Q: 3. a) Find polar coordinates (r, 0) of the point (1, -/3), where r> 0 and 0 <0 < 2 p2 = x² + y?, tan...

A:

Q: Зх-1 13. f (x) = ;(-1,6] х2—7х-8

A:

Q: 1 1 3. lim ed - 1

A: Given query is to find the limit of the expression.

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

A: We have to find solution of given expression.

Q: What are thr genereal solutions of the following? a) y^2 dx + (x^2 + 3xy + 4y^2)dy=0

A:

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per second...

A: dv/dt = 45 cm3/second side is 2 cm height is 5 cm side/height = 2/5 side (s) = 2h/5 volume of pyrami...

Q: Find the particular solution of the differential equation that satisfies the initial condition. f'(x...

A: I am attaching image so that you understand each and every step.

Q: true or false: if the sequence [a sub(n)] is monotone decreasing, then [a sub(n)] must converge

A: Follow next step

Q: Use calculus to find the absolute maximum value and the absolute minimum value, if any, of the funct...

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Q: View Policies Current Attempt in Progress Locate the critical points and identify which critical poi...

A:

Q: the Cartesian coordinates of (2, -7/3). Then plot the point. I=r cos 0, y = r sin 0

A:

Q: Question 3. The parametrized curve x = cos(t) – 5sin(t), %3D 101 y = -10cos(t)+ sin(t) is an ellipse...

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Q: 2. Let V be the volume of a cylinder with height 5 feet and radius r feet. If the cylinder expands a...

A:

Q: Which of the following is true for the interval (2,0) for the graph of fAx) shown below? 5+ 4 3 -5 -...

A: This question can be answered by considering the slope of tangent at any two points in the given int...

Q: Find the root mean square of y=1/x in the interval [1,3]. Round to the nearest hundredth. RMS =

A:

Q: Find a general solution to the given differential equation. y" -y'-56y = 0 A general solution is y(t...

A: If the roots m1,m2,...,mn of the Auxiliary equation is real and unequal then complete solution is   ...

Q: Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are gi...

A: To find the rate of increase or decrease in cost, revenue and profit.

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A:

Q: Find the total value TV of the given income stream and also find its present value PV (at the beginn...

A:

Q: 5. The amount of a certain drug in a persons blood t minutes after admin- istering the drug is given...

A: The amount of a certain drug in a person's blood t minutes after administering the drug is given by ...

Q: find an equation for the tangent line to the graph of y=(5-2x)^2 at (3,1).

A: Explanation of the answer is as follows

Q: The graphs of two functions are shown with the areas of the regions between the curves indicated. y4...

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Q: 6. Given f(x) =x° and g(x) = x, sketch h(x) = f(g(x)).

A: As you mention question no. 6 solved

Q: If m and n are odd integers, then so is m · n.

A: