A function f has f(5) = 20, f’(5) = 2, and f”(x)

Q: Let ƒ(x) = 2x2 + 5x and g(x) = 4x + 1. Find g[f(x)]

A: Given: fx=2x2+5x . gx=4x+1 . gfx can be calculated by replacing the x by fx in the function gx as,...

Q: Find domain and range

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Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does n...

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Q: Find the Gini index for the given Lorenz curve. (Round your answer to three decimal places.) L(x) =...

A: Gini index for the Lorenz curve can be calculated as follows: Gini Index=∫01x-L(x)dx=∫x-x2.2dx=x22-x...

Q: The radius of convergence of 2n=072n+5)! )7 - is (2n+3)! O 1 O infinity O None of these

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Q: ind the adjoint matrix of A and then find the nverse 1 2. A = 2 3 1 4, 2) 2.

A: Solution: The objective is to find adjoint and inverse of the given matrix

Q: Compute the Integral Below and show all the steps necessary to achieve the answer!!!

A: Given To Evaluate

Q: Let x and y represent two nonnegative numbers. The sum of the two number is 9. The product of x and ...

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Q: Course: Differential Equations

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Q: problem is attached! please and thank you!

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Q: Working with composite functions Find possible choices forthe outer and inner functions f and g such...

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Q: When gas expands in a cylinder with radius r, the pressure P at any given time is a function of the ...

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Q: Let 1 = S dx c+∞ 4-x I = dx Then I O converges to 3 O converges to .

A: Consider the integral: I=∫1+∞4-xx3dx

Q: Question 15 3 If f (x) d = 6 and f (x) dx = 4, then 1 (3 + 2f (#)) dæ = dx 10 23 35 E 50 20

A: Given that  ∫03f(x)dx=6 ∫35f(x)dx = 4 To find  ∫05[3+2f(x)dx

Q: State the Extended Power Rule for differentiating x n. For whatvalues of n does the rule apply?

A: State the Extended Power Rule for differentiating xn. For what values of n does the rule apply?

Q: Show whether f(x) is continuous (3х-2 f(x)={ x-2 x² -4 for x=- for x+ -

A: Given that, f(x) = 3x - 2; for x = - 2 f(x) = (x + 2)/(x^2 - 4); for x not equal to - 2 So when x is...

Q: how to go from there to there?

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Q: Compute and simplify the difference quotient for f ( x ) = − x 2 + 5 x − 1. Use the following steps ...

A: Given: f(x)=−x2+5x−11)  f(a)=?2)  f(a+h)=?3)  f(a+h)−f(a)=?4)  f(a+h)−f(a)h=?

Q: problem is attached! please and thank you!

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Q: Find 2xdA over the region R R = {(x, y) | 0 < æ < 4,0 < y < 2F by indentifying it as the volume of a...

A: Consider the given integral as ∫∫R2xdA

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 25 + h 5 lim h → 0 h

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Q: So i need help on part b and c for one that only has 3 parts and part b c d for the other that has 4...

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for y...

Q: Given the function f(x) = 7x – 8, evaluate and simplify the expressions below. See special instructi...

A: Given : fx = 7x-8

Q: Compute the dot product. Give an exact answer. Use symbolic notation and fractions where needed.) (3...

A: Since, we have to compute the dot product of the expression given below:-(3j+6k).(i-7j)=?

Q: = 8. Draw the line. Do the points 4. Find the slope of the line having the equation 3x - (6,2) and (...

A: As per our guidelines , we can solve only first question. Please repost other question that need to ...

Q: Hello, I'd appreciate step by step solution to this problem. Thank you!

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Q: Let f (x) = 2Vx + 1. Find f'(x), carefully evaluating the limit. An object moves with the equations ...

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Q: 11

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Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. 7...

A: Given,           ∫17x2−4x+7dx

Q: 2. Find all relative extrema and saddle points for f(x,y)=x*+3xy+y-5x .

A: The given function is  f(x, y) = x2 +3xy + y2 - 5x

Q: A wedge shaped slice is cut from a circular pizza. The radius of the pizza is 6.3 cm and the rounded...

A: Given  radius of circle is r = 6.3cm. and arc length of slice is A =6.3 cm.

Q: Find the volume of the parallelepiped determined by the vectors a = (3, 4, – 1), b = (0, 4, 2), с 3 ...

A: Given the vectors, a→=3,4,-1b→=0,4,2c→=2,5,1

Q: Simplify 4-1(X2Y3)2/ X-2y5

A: We have to simplify the expression: 4-1X2Y32X-2Y5 We know the laws of exponents, am×an=am+naman=am-n...

Q: 4. x – 1| < |x – 2| 5. x+1< ]x]

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Q: Evaluate the limits. If any of them tend towards – 00 or +∞, enter "oo" (two lower case "o" letters)...

A: We make a table for the values less than 5 and greater than 5. x y   x y 4.9 −30   5.1 30 4.9...

Q: Find an equation in slope-intercept form for each line. : Through (-8,4) and (-8,6)

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Q: The following series +00 3(-1)" + 4 5n n=0 O is convergent to 5. O None of these. O is divergent O i...

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Q: Solve 4 - 3y &lt;=7 + 2y.

A: 4-3y≤7+2y

Q: Please help me with a,b,c and d.

A: (a) The given graph is the graph of the derivative for function f(x). The graph of the has horizonta...

Q: How can i solve this exercise?

A: Since the constraint's graph is a circle, which is a closed loop and f is continuous in R2 , there m...

Q: . How do you find a vertical asymptote?

A: Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a ration...

Q: This is a two part question i have attached both of them hoping that both can be answered. Please pl...

A: The given equations    ,  f(x)=-3-3x2 we have to find the tangent at (-3,-30) another , f(x)=2x3 at ...

Q: A 20ft by 28ft swimming pool is filled with water. The depth is measured at regular intervals, start...

A: We can use the mid point theorem to solve this problem.

Q: 2" Use the ratio test to determine whether >. (2n)! converges or diverges. n=17 he ratio of successi...

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Q: series Detemine 7term hamonic ion series

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Q: this please

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Q: A force of 14 Ib is required to hold a spring stretched 2 in. beyond its natural length. How much wo...

A: Given : force required to hold the spring stretched to 2 inch = 14 lb 2 inch = 2/12 ft = 1/6 ft =&gt...

Q: Explain why the function has at least one zero in the given interval. Function Interval f(x) = x2 - ...

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Q: Prove that if y = y0ekt, where y0 and k are constants, then dy/dt = ky. (This says that for exponent...

A: Given: y = y0 ekt To prove: dydt = ky

Q: Stsinat dt

A: Given that:∫t.sin2t.dt

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.