3.In 2 X 3x + 1) = ² ₁ X ‚ y'

Q: A. Indefinite Integrals + C. Evaluate the following integrals. dx x + x3 1 Ans. In x² 1 + x²

A:

Q: Determine whether the improper integral diverges or converges. 00 x²ex dx 0 O converges O diverges…

A: Given query is to find integral converges or diverges.

Q: A polynomial P is given. P(x)=x^3+64 A) find all zeros of P, real and complex, B)factor completely

A: Explanation of the answer is as follows

Q: For the function, find the relative maxima, relative minima, and horizontal points of inflection.…

A: The given function,  y=13x3+x2-8x+15

Q: Evaluate the following integrals. 2. √x*+5x³ x+5x³+20x+16 x(x²+4)² dx

A: The given integral is ∫x4+5x3+20x+16x(x2+4)2…

Q: 5. A manufacturer offers to deliver to a dealer 300 tables at $90.00 per table and to reduce the…

A:

Q: (b) D₂f = 2 cos(xy + 2z) Dzzf = -4 sin(xy + 2z) Dzzyf = -4x cos(xy + 2z)

A:

Q: Find the Taylor series generated by fat x = a. f(x) = exa=3 Ο Α.Σ Ο Β. Β. €3(x-3) n! €3(x-3) (n+1)!…

A: Find Taylor series.

Q: The f e²x +e-2x e2x-e-2x dx is -2x1 {A}={In 2x te e e2x-e-2x + C 2x {B} In|e²x −e-²x | + C {C} -2…

A: To solve the given integral using substitution.

Q: 1. f(cos 3x - x²) (sin 3x- x³)5 dx 2. f cos² x (tan x) (sec² x − 1) dx 3. f tan x (sec² x - 1)(sec²…

A:

Q: Which of the following is a polynomial function?

A:

Q: 3. Graph the hyperbola, put the equation into standard form and identify the asymptotes, vertices,…

A: The given hyperbola equation,      9x2-4y2-36x+8y-4=0

Q: e. x3 √1+x4 f. fx sin x² dx S dx

A:

Q: 7) Find the unit tangent vector T(t) for the curve given by r(t) = 2 sintỉ+ 2 costj + tantk when t =…

A:

Q: For what values of x is the function f(x) = |x2 − 9| differentiable? (Enter your answer using…

A:

Q: Sketch the region R and evaluate the iterated integral f(x, y) da. [²²-² (1 - 2x + 8y) dy dx y y 2…

A:

Q: The point P(2, 2) lies on the curve y = 4. If Q is the point (x, 4), find the slope of the secant…

A: answer is in next step

Q: Set up the integral to find the area of the region bounded by x = 4y - y³ and x = 0.

A:

Q: Question 7  A business spends $80,000 on Marketing, $100,000 on R&D,  and $ 12,000 on Expenses.…

A: We have to find the ratio between spending.

Q: In the triangle below, BA=u and BF=v. Express each of the following in terms of u and v. a) CD b)…

A:

Q: Evaluate the following: 1) f sin x sin(cos x) dx

A: Integration

Q: Evaluate the iterated integral. 1₁1²₁1x². (x² - y²) dy dx

A:

Q: Evaluate the indefinite integral given below. ∫ x(x+7)4 dx

A: Given query is to find the integration.

Q: analyze and trace the given curves y = x2 + 1 / x2

A: Explained below

Q: Evaluate the following 1. S sin x sin (cos x) dx

A:

Q: Question 6.5: In Example 6.4 we did an ideal thermodynamic analysis of the General Electric T700…

A: answer is in next step

Q: Calculate the work expended when a particle is moved from 0 = (0,0) to Q = (4,4) along the segments…

A: Solved below

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 6x + 17 between x =…

A:

Q: Find the curvature of the curve r(t) = (3 cos (4t), 3 sin(4t), 4t) at the point t = 0 Give your…

A:

Q: 2. Given So S√x y² +8 dydx. Reverse the order of integration and evaluate. Draw the

A:

Q: What two nonnegative real numbers with a sum of 66 have the largest possible product? The numbers…

A:

Q: Assuming that the equation defines x and y implicitly as differentiable functions x = f(t), y =…

A:

Q: Evaluate S(-x+y+z)dx + (x+y-z)dy + (x-y+z) dz where C is the line segment from (-1, 2, 3) to (3,-2,…

A:

Q: What is the equation of the conjugate of the hyperbola 25x² - 16y² = 400? (A) 16y²-25x² = 400 (B)…

A:

Q: ·SS v₂ Vx (2yi) •n do where S is the hemisphere x² + y² + z² = 9, z≥ 0. Use the normal vectors…

A:

Q: Evaluate the iterated integral. 8 3 (x + y²) dx dy -1/1

A:

Q: Solve the differential equation below using series methods. y’’ — 4xy' — y = 0, y(0) = 4, y'(0) = 2…

A: Here, the given DE is: y''-4xy'-y=0    ...(1) with y(0)=4,y'(0)=2

Q: f cos(mx) cos(nx) dx is equal to {A} [sin(m + n) + sin(m − n)] dx {B} [sin(m + n) - sin(m - n)] dx A…

A:

Q: 1. True or False: Click A if the statement is True, otherwise click B (False). 1. All continuous…

A:

Q: ing the limit definition of derivative, find the third derivative of g, given g'(x) = 2-√√x+1

A: Note that, according to Bartleby Guidelines, In the case of multiple questions, we can answer only…

Q: H.w.2 Evaluate the following cartesian integrals by changing them into equivalent Polar integrals: 4…

A:

Q: The equation of motion of a particle is s = t³ - 27t, where s is measured in meters and t is in…

A:

Q: Set up the integral to find the area of the region bounded by y = r² − 1 and y = x + 5.

A:

Q: the

A:

Q: A farmer wants to construct a fence around an area of 6936 square feet in a rectangular field and…

A:

Q: Find a critical point tid b.) relative maximum value valve C.) Relative mini mom d.) inflection…

A: Note :-  Here Equation of g(x) = 2x2-9x2+27 =-7x2+27 Or g(x) =2x3 -9x2+27  So we solve this problem…

Q: /3 -π/4 (2cos x - 3csc² x) dx

A:

Q: Solve the integral Sa 16 tani? 7+x²

A:

Q: Determine whether the series converges or diverges. 4n³ n²-4 n=2

A:

Q: The f2e4t sec2e4t dt is {A} = = tan e 4t + C {B} = sec³e4t + C 16 {C} /e4t tan e4t + C {D} et…

A: