2 (In x dx

Q: y = |x|, y = x² – 1, x = -1, x = 1 - г2 — 1,

A:

Q: 3. Find the centroid of the region bounded by the parabola y? = 4x, the y-axis, and the line y = 4.

A:

Q: Find the gradient of the function at the given point. In(x2 - y) - 6, (2, 3) Z = Vz(2, 3) = %3!

A: To find out the gradient of the function at the given point..

Q: Evaluate the sum. 30 E(5j + 4)° j=1 (Give your answer as a whole or exact number.) 30 Esj + 4)° =…

A:

Q: H.w: Find the Eigen vectors for the largest Eigen value of the system X1+ +2x3=0 3x1-2x2+X3=0 4x1+…

A:

Q: he vectoi the given maghitude and the same direction as u. Magnitude Direction ||v|| = 19 u = (0, 2,…

A:

Q: ind general solution by separating the v y3 = (y* + 1) cos x %3D dx.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: II Three graphs labeled I, II, and III are shown above. They are the graphs of f,f', and f".Which…

A: Observe the each curve using slope and increasing decreasing properties.

Q: 1. Find derivative, critical numbers and the absolute maximum and absolute minimum values of f(z) =…

A:

Q: Evaluate the integral: J1 +2)³ 11 dx 44 1 22 1 89 O None of these 1 40

A:

Q: 6. Find the area of the region enclosed by the graphs of y = VT+1 and y = r – 2 and the vertical…

A:

Q: white the funetion in the form flx)- for the given value of K, and demon c flx)= r 2 flx)= x3-x-14x…

A: Given    q(x) is the quotient when F(x) is divided by x + 1 and r is the remainder.

Q: Find all extrema for f on the given interval. f(x): xE[-1,3] x+3

A:

Q: 3m 5. rad 9. 1.1 rad 13. 1.6 rad 4 6. rad 10. 3.1 rad 14. 2.1 rad 2- rad 3 11. 0.50 rad 15. 0.091…

A:

Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: Topic = Integration

Q: Answer the following True or False. If f(x) is integrable on a, b, then f(r) is continuous on [a,…

A: For the solution follow the next step.

Q: xdx + ydy = (x² + y²)dx Your answer

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: b/ Find the solution to the homogeneous differential equation below dy x²+y² dx 2xy

A:

Q: About family of curves. Draw the curves in one Cartesian plane.

A: We draw the family of equation of the lines y+5=mx-3 for different values of m. [Blue lines] And we…

Q: indefinite integrals: Show complete and detailed solutions. Express you: answers in simplest form…

A: To find the integral

Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: First simplify the integrand then integrate and simplify.

Q: Simplify arcsin 3. 享、 3 no solution

A:

Q: 1 dx V16 – x²

A:

Q: dx ,n = 10 1+x?

A: This question can be solved by any of the approximation method of finding the value of definite…

Q: Does the sequence {an} converge or diverge? Explain. Find the limit if the sequence is convergent. n…

A:

Q: (b) [ z0- r2 re dr

A:

Q: 1 Find parametric equations for the path taken by a point the distance between the centre and the…

A: The given question has been solved in detail

Q: Simplify arctan4 + arctan (round to the nearest degree). 45° 0° 90°

A:

Q: Question Select your answer. A function f(x) has a critical number a = c. Which of the following…

A: Recall:  y = f(x) + C C > 0 moves f(x) up C < 0 moves f(x) down   Given P(x)=f(x)±k  Where k…

Q: Does the sequence {a,} converge or diverge? Explain. Find the limit if the sequence is convergent.…

A: Given problem:-

Q: 6) Answer the following True or False: Let  f(x) be a differentiable function, such that f(1)=−9…

A: The solution is given in the next step.

Q: arcsin(sin 30 ) = 1 2 O1 O -1 O 30

A: Given:        arcsinsin30∘

Q: For the following function f(x), determine whether there is an asymptote at x = a. Justify your…

A: For vertical asymptote ,set the denominator equal to zero .

Q: 4. Find the equation of the tangent to h(x) = x´sin(2x) at x = 1 [no unit circle needed]

A:

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

A: Given query is to find the the population and rate of change of population after 20 years.

Q: Find dy for the following expressions: dx а) y = x5 In(3x) b) у %3D 2 cos + 2x3 3x2 + 7x + cos (x) y…

A:

Q: Find sin( ). (Hint: Use the half-angle formula.) arccos 3/10 V10/10 3V10/10

A:

Q: 3 dx extle) Vx+4 V x+4

A: Explained below

Q: 33. Compound Interest If $2000 is invested at an interest rate of 3.5% per year, compounded…

A: Given query is to find the future amount for the given years.

Q: Sa 3dx 1. (x+6)Vx+4 2. V-1+2 dt

A:

Q: For what value of the constant c is the function f continuous on (- o0, 0) where S (1)² – c if y 2

A:

Q: Q10.. Solve (1+ x²) + y = tan-'x. dx

A:

Q: Simplify cos(arctan-1) O no solution O-V2/2 -V2/2 O V2/2

A: Solve the following

Q: Simplify y = arccos. 3

A:

Q: Evalu at e the in deffinite integral. 2

A:

Q: Evaluate y = arcsin. 품

A: Given

Q: 2. Find the limiting values of 3x? + 5x - 4 (i) 5x? - x +7 as x oo | x? + 5x- 4 (ii) 2x2 - 3x + 1 as…

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A:

Q: 2b + 3 %3D = 2b + 2 x + 27 =

A:

Q: 3. 2 3. 4 7. To find the blue shaded area above, we would calculate: area Where: a = f(x) = %3D area…

A: Consider the given figure below :