Exercise 1.- Calculate the mean value of the function f(x) = 3x² + ½ in the nterval [-2,2] and determine the point C. Graph the function f(x) and the ectangle formed by f(c) and the designated interval.

Q: Answer no. 19 only

A: 2/s( 1+e^-s/s)Explanation:Step 1:--Step 2: Step 3: Step 4:

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A: f is concave upward in(3,6)∪(6,9)So the options are(3,6)(6,9)Explanation:Step 1:Step 2: Step 3: Step…

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Q: A man with $30,000 to invest decides to diversify his investments by placing $15,000 in an account…

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Q: For each of the following polynomials determine whether it is irreducible or not:X^2 − 3 in R[X];X^2…

A: Answer is given below :-Explanation:

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A: a. Compute the no-arbitrage price  C of this derivativeThe no-arbitrage price C of the derivative is…

Q: Express any decimals rounded to thousandths if necessary. The results of a survey of 150 students…

A: The objective of this question is to find the conditional relative frequency that a student surveyed…

Q: 2. Provide a graphical (one combined) solution for the system of linear inequalities below: 3 y + t…

A: See explanation for the graphical solution.Explanation:i. 3">y+(73​)t>3Solve the inequality…

Q: Prove by induction that if n is a positive integer, then 7^2n − 13^n is divisible by 3

A: A proof method for proving a statement is mathematical induction, which is applied to all natural…

Q: It doesnt work please help ASAP

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Q: Consider the 2D planar potential flow which is the sum of a uniform flow with the speed U0>0 at…

A: The objective of this question is to find the velocity field of a combined flow, its stagnation…

Q: Question 2: A function S is defined on the interval [(-1,3] by S₁(x), x[-1,0), S(x) = S2(x), x[0,…

A: S2​(x)=23​x3−29​x2+x+1Explanation:Step 1:The constraints to be satisfied are continuity and…

Q: 5. The revenue and operating cost of a car wash facility are given by R(x) = 13x - 0.7x² and C(x) =…

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Q: A demand loan for $10,516.65 with interest at 6.6% compounded annually is repaid after 4 years, 7…

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Q: Begin by graphing f(x) = 2*. Then use transformations of this graph to graph the given function. Be…

A: We will transform the given function.

Q: True or false (circle T or F). Let 0 denote the zero matrix of the appropriate size. T F If the…

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Q: -Obtain the equation of the plane that passes through a point and is parallel to the nth plane 4 P =…

A: The point is :The equation of the plane is :The aim is to determine the equation of the plane that…

Q: Draw the null-clines and determine equilibrium of d dx(t) = x(1−xy) d = y(t) = y = x². dt Use these…

A: Consider the given system of differential equation.We need to use the null-clines to sketch the…

Q: (h) After doing some tests, the patient's velocity constant of elimination is found to be 0.005…

A: The excess hormone concentration is given byWhere,, , and To find: for , , and

Q: 4 y'+− y = 2; y(1) = −4 {y= X 2 = 5 -x-- 22 X 5

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Q: Assume that for every positive integer i, A₁ = (-i, i), that is the set of real numbers x with -i <…

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Q: A car dealership increased the price of a certain car by . The original price was . (a) Fill in the…

A: The objective of the question is to find the new price of the car after a 5% increase from the…

Q: Use Table 12-2 to calculate the present value (in $) of the annuity due. (Round your answer to the…

A: The objective of this question is to calculate the present value of an annuity due. An annuity due…

Q: Solve the homogenious differential equation Cy²+4y+4y=0; ylo)=1, y'(0) = 3 2 2 ⑤[ +² D² + 5 + D…

A: The homogeneous  differential equation is:The aim is to solve the homogeneous differential equation.

Q: Exercise 2.- Calculate the area between the curves and make the corresponding graph: f(x) = x²+3x+3…

A: Given the functions:We want to find the area between the curves and between the limits and .See…

Q: Let (an) be a sequence of positive terms, and suppose that (an) → L. Show that (√) → √ī.

A: Proof is given below Explanation:Step 1:Step 2: Step 3: Step 4:

Q: how do we find the radius of convergence for part b)

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Q: 4. Calculate Res z2 2+1 +9' - Зі

A: Here's the solution of given question. We use residue formula at a given point of complex function.…

Q: Find y as a function of a if y(0) = 5, y(0) = 17, y"(0) = 5, y"(0) = 8. y(x) = y(4) — 6y" + 9y" =…

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Q: Present value. A promissory note will pay $35,000 at maturity 6 years from now. How much should you…

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Q: Find the smallest positive integer a that solves the congruence: 9x 6 (mod 58)

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Exercise 4.- Take the functions from the previous exercise,…

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Q: Problem 4. Suppose the vector space V = P2, given the following set of basis B={1+², t-312, 1+t-t2}.…

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Q: Consider the transformation T : R4 → R3 defined by T(x1, x2, x3, x4)=(2x1 + x2 + x3 − 4x4, 6x1 − 9x3…

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Q: Need assist with this

A: (a) C(x) = 6,000 + 9x, where x is the number of vases produced.(b) R(x) = 18x, where x is the number…

Q: In this problem, we use the notation N = {1,2,3,...}, {2,4,6,...} = {2k Є Nk Є N}, Neven -…

A: Given  , .Consider the function  defined as .(a) Show that  is bijective.(b) Is it possible to find…

Q: The population of a town grows at a rate proportional to the population at time t. The initial…

A: The population of a town grows at a rate proportional to the population at time t.The initial…

Q: A2 Find the Fourier series expansion for the function f(x) = X -2< x < 0 0 < x < 1 { 2-x 1 < x < 2…

A: The given problem is to find the Fourier series expansion of the given periodic function.Given…

Q: Problem 2. (1) Prove that the following set V forms a vector space: (x1, x2, T3, T4, T5): such that:…

A: A set S is said to be a basis of the vector space if it is a linearly independent set and it…

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A: Summary:- the required value of K is 0Explanation:

Q: Exercise 4.- Calculate the mean value of the function f(x) = 1 + x² in the interval [-2,2] and…

A: Mean Value Theorem for Integrals: If f(x) is continuous on the closed interval [a,b] and…

Q: I need help with the circled question, can you write clear written answer please, not typed thank…

A: The formula is given below.Explanation:

Q: 1. Solve the following homogenous differential equations using two methods: 1) x(t) = et…

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Q: Determine the coordinates of the centroid of the shaded area. y 20 60 188 20 40 50 Answers: 50 40.…

A: Break the given shaded area into the five different areas as shown below:

Q: Consider the vectors a = (3,0, -4), b = (4, 5, 3), c = (0, 1, 0) € R^3 Find the area of the…

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Q: Don't use chatgpt, I will 5 upvotes Evaluate a,b and c when…

A: The objective of this question is to find the values of a, b, and c that make the matrix…

Q: Using c++

A: The corrected code :  #include &lt;iostream&gt; int main() { int a[10]; int i; for (i…