(part 1 of 3) x¹, x ≤0 f(x) = ={ x-9, x>0 aluate the function for x = 2.

Q: The integral ₁17x² - x² - 6x dx MUST be evaluated by breaking it up into a sum of three integrals:…

A: To evaluate the following integral. ∫-137x2-x3-6x dx

Q: Question 4 What are the associated roots for R(x) in the differential equationy"-y= R(x) whereR (x)…

A:

Q: 8. Find the interval of convergence of the power series. 11=0 3n n+2(x-1)"

A:

Q: Given f'(x) = 3x¹ − 4x³ + 7. Determine where the point of inflection of the graph of f occur. (a.) x…

A:

Q: The integral ₁ |102² – 2³ – 24x| da MUST be evaluated by breaking it up into a sum of three…

A: The given integral is:∫-15 10x2-x3-24x dx

Q: 6. Use a series to find the limit. x-In(1+x) x² a. lim x-0

A: Not Since you have asked multiple question As per our policy, we will solve the first question for…

Q: If the supply and demand functions for a commodity are given by 6p -q = 60 and (p + 2)q = 4830…

A: given  6p-q=60.......1           (p+2)q=4830........2from equation  1,   q=6p-60  put in euqation 2

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A:

Q: Consider the following initial value problem, defined for t > 0: dy dt a. Find the Laplace transform…

A:

Q: [(²5+4) dr. -3 (c) Determine dr, where x > 3.

A:

Q: Find the area of a triangle whose sides measure 50 inches, 22 inches, and 36 inches.

A: To find the area of a triangle whose sides measure 50 inches, 22 inches, and 36 inches.

Q: Determine the projection of the surface - y² = z on the xy- plane? (Hint: z = 0) O One Line O…

A:

Q: The rectangular coordinates of a point are given. Plot the point. -1.5 -1.0 O (1, 0) (r, 8) = -0.5 y…

A: The objective is to solve the above question.

Q: For the following integral, reverse the order of integration and evaluate the integral. 1/64 1/2 !!.…

A: We will apply change of order of integration to solve this question

Q: Which one of these expressions is not equivalent to the other two? Select the odd one out. A (В B a.…

A:

Q: X The first three Taylor polynomials for f(x)=√√9+x centered at 0 are po(x) = 3, p₁(x) = 3+ √9.2. 6'…

A: The first three Taylor polynomials for fx=9+x centered at 0 are p0x=3,  p1x=3+x6, p2x=3+x6-x2216. To…

Q: Find the general solution of the higher order LDE using reduction of order. (D² + 4D + 4)y=8

A: ven differential equation ( D2 + 4D + 4 )y = 8 complete solution y = CF + PI

Q: Graph the function over a one-period interval. y = tan Which graph below shows one period of the…

A: The given function is y=tanx4 We have to sketch the graph of the function.

Q: Problem 5. the Ratio Test. (a) M18 πη n! n=1 State whether each of the following series converges or…

A:

Q: (b) (i) If y=-e 1 show that dy k = dx 22 e NIX

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: An elliptical culvert is 3.5 feet tall and 7.9 feet wide. It is filled with water to a depth of 1.05…

A:

Q: 31 If f(x, y) = e³¹ sin 9y, then fry is given by:

A:

Q: Assume that f"(x) is continuous on [0, 1] an ƒ(0)=1,ƒ(1) = 3, ƒ'(1) = 7. Find [xf"(x) dx.

A:

Q: F(x, y, z) = (6y² + 2 sin(2x − z), 12xy, 2e²z — sin(2x − z)) ·

A: A detailed solution is given below.

Q: 4. Given a function f(x) = 3x - 4 and the numbers xo = 2, L = 2, ε = 1. Then find a value 8 > 0 such…

A: Answer is given below

Q: (a) (b) dv Find and dT dv dM means that in dry air: Write a sentence describing what each of the…

A: v = 273.15BγM.1 +T273.15let 273.15Bγ = a and 1273.15 = bTherefore,v = a1 + bTM dvdT = ddT(a1 +…

Q: Evaluate the integral 20 fx³² (x³ – 5) 2⁰ da by making the substitution u = x = x³ – 5. + C NOTE:…

A:

Q: 3. Decide if the given sequence {a} converges, or diverges. If it converges, determine the limit of…

A: If the limit of the sequence at infinity is finite then sequence is convergent.  If the limit of the…

Q: 9. For what value(s) of k does y = ex sin(x) satisfy +2- +2y=0 ? d²y dy dx² dx

A:

Q: Evaluate the integral by making the given Substitution. (Use ( for the constant of integration.)…

A:

Q: + C NOTE: Your answer should be in terms of x and not u.

A:

Q: [₂ (7t² + t + 1) dt -3

A:

Q: Find the equation for any horizontal asymptotes for the function below 3-7x+x² 2+9x+6x² f(x)=- FOTO…

A:

Q: Find the general solution for the differential equation. dy 2-10xy-5x = 0 dx

A: To solve the given differential equation

Q: Which of these vector fields are irrotational? Identify all of those that satisfy this property. A B…

A: The given vector fields, A) u=-x, y, 0B) u=-y, x, 0C) u=-x, z, 0D) u=x, y, z We have to find the…

Q: Find the vertex, focus, and directrix of the parabola, and sketch its graph. y² = -16x

A: Given Equation:- y2=-16x

Q: Compute [In(4)/3 @3x (@3x + 6)³ dx.

A: To evaluate the given integral

Q: The height (in meters) at time t (in hours) of a balloon is given the formula h(t) = -20tª + 80t.…

A: The height (in meters) of a balloon at time t (in hours) is given by ht = -20t4+80t…

Q: 9. The area of the region S that lies under the graph of the continuous function is the limit of the…

A: Please see the below picture for detailed solution.

Q: 4: A survey from Teenage Research Unlimited (Northbrook, Illinois) found that 30% of teenage…

A:

Q: 15 A company's marginal cost function is c(x)=- where x is the number of units. Find the total cost…

A: NOTE: Refresh your page if you can't see any equations. . the given marginal cost function is

Q: У 2- -2- П 2л X

A: Graph of the function is given, we have to find its equation.

Q: Solve the FIRST ORDER LINEAR D.E. Linear in y y' = x³ - 2xy →→ when x = 1, y = 1

A:

Q: With today's technology and powerful computers, it is often tempting to think that the curve…

A: Given function:- f(x)=x4 -408x3 +3600x2

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A:

Q: The angle of elevation to the top of a Building in New York is found to be 6 degrees from the ground…

A:

Q: What is the distance of following line to the origin  [20, 21] . [x, y] = 29. Round your answer to…

A: The given line 2021·xy=29. We have to find the distance from the line to the origin.

Q: Write the composite function in the form f(g(x)). [Identify the inner function u= g(x) and the ou y…

A:

Q: x = 5 tan 8 8= 0

A:

Q: Which graph represents the reciprocal of the linear function y=4x-2? A C B *** ↑ g H T ngo 2 2 D k…

A: Graph of the function is given  We have to find the reciprocal of the linear function y=4x-2