Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then find the open intervals analytically. (Enter your answers using interval notation.) increasing decreasing 60 40 -10-8 -6 -4 -20 8 10 -20- -40- -60- 2 4 6

Q: Answer the given problems in two ways: (1) by using Chain Rule (2) by finding f(g(x)), taking the…

A:

Q: Which of the following gives the area of the region enclosed by the line y = -x-1 and the parabola…

A:

Q: The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the…

A:

Q: whought c. The plane through (1,1,-1), (2,0,2) and (0,-2,1)

A:

Q: Let 1 9 ift < 5 B(t) = 5 √t+c ift ≥ 5. Find the value of c so that lim_ B(t) exists. t-5 -

A: This question can be solved using the concept of limits.

Q: Q2/ Examine the following surface for maximum, minimum, and saddle points 2 = x² + y² + xy + 4x - 4y…

A:

Q: he "Garbage Project" at the University of Arizona reports that the amount of paper discarded by…

A: We use a standard normal table to find the value  Given mean=9.4 standard deviation=4.2

Q: In the Figure 1, if Q= 40 N, P = 50 N, and B = 145°, then R is equal to (in N): Figure 1: C R A Q B…

A:

Q: If integration using u-substitution technique is used to solve for O u = e4x Ou=1-e¹ O U= u = €²x…

A:

Q: The result of A(B x C)+ A × (B.C) may be: 10 2i+3j O 2i+2j-k

A:

Q: X | J = -dx x+1 Consider the following propositions according to the integral shown: 1- When…

A:

Q: An integral expression for the area of the surface generated by rotating the curve y=√x, 0≤x≤ 1…

A:

Q: Confirm that the integral test is applicable and use it to determine whether the series converges.…

A: a)  ∑k=1∞17k+2b) ∑k=1∞11+16k2

Q: Evaluate the integral dx fax √2x-x1

A: Given: I=∫dx2x-x2   As we know the common integral; ∫11-x2dx=sin-1x+C

Q: A/If x² (y - 4z) - y²(2x + 3z) + z²(3x - 4y) = xyz Find Zx

A:

Q: 7. Determine the area bounded by y = x² - 6x + 10, x = 1, x = 5 and the x-axis.

A: Above question is solved.

Q: Verify that Rolle's Theorem can be applied to the function f(x) = x³ - 8x² +17x - 10 on the interval…

A:

Q: Example: If w = f(x,y), find d²w dr² x = et, and y = 2t - 1

A: Here, w=f(x,y), x=et, y=2t-1

Q: 1. f(u) = u³, g(x) = u = 2x¹ + 1 Find (f g)'(-1).

A: Here, the given functions are: f(u)=u3 &amp; g(x)=u=2x4+1 Now, f∘g(x)=f(g(x))⇒f∘g'(x)=f'(g(x))g'(x)…

Q: 7- cos y dx + (x siny-cosy)dy = 0 8- (1+ y²)dx + (2xy + y² + 1)dy=0

A:

Q: Evaluate ㅠ (2) 풍 1 1 5 -dt. t² + 1 (b) ㅠ 24 (c) 쯔3 (d) ㅠ 2

A:

Q: Q4/ A/If x² (y - 4z) - y²(2x + 3z) + z²(3x - 4y) = xyz Find Zx

A:

Q: a. Show that f has a removable discontinuity at x = 3. x² - 7x + 12 f(x): x + 2 = x = 3

A: The given function is: fx=x2-7x+12x+2, x=3 Show that f has a removal discontinuity at x=3

Q: Q3) Find the integration by using Partial fraction method Y x² + 2x + 1 (x² + 1)² dx

A:

Q: Find the exact length of the curve. = 3/²/₁ y 1 4x 1 ≤x≤2

A:

Q: e. Angle between a and c

A: Here we have to find the angle between two vectors.

Q: Find the plane determined L1: x=-1+t 12: x=1-4s by the intersecting lines: y=2+t y=1+2s 2=1-1-3-1-00…

A:

Q: (3 − |x|)dr is equal to L (3 (a) f( (3 - x) dx (b) [(3+z)dz (c) [²₁ (3 - x) dx + [² (3 + x) dx (d)…

A:

Q: 14. State whether the following pairs of planes intersect. If the planes intersect, determine the…

A: The planes are,π1: x-y+z-2=0 and π2: 2x+y+z-4=0

Q: All Operations With Decimals 4 Mario wants to increase his daily mileage by four tenths of a…

A:

Q: Verify that the indicated function y = y(x) is an explicit solution of the given first-order…

A:

Q: x TC Q2\ Find The Area under the curve Y= 4sine between X= and 2 X= π by the double integral method.…

A: Let's find area by using double integral method. Small mistake in given question, there should by…

Q: Find the exact length of the curve. y = 9 + ¹ cosh (8x), 0≤x≤7

A: The curve y=9+18cosh8x, 0≤x≤7

Q: If sin t = and t is in quadrant I, find the exact value of sin (2 t), cos (2 t), and tan (2 t)…

A:

Q: Verify that the indicated function y = (x) is an explicit solution of the given first-order…

A:

Q: Find the integration by using substitution method 2 dx x² - 6x + 10

A:

Q: Find the equation for the tangent line of the graph of 4 y = x² at (-2, 16). Equation:

A: Here we have to find the equation of the tangent line of the graph y=x4 at (-2, 16)

Q: Find the linearization of the function f(x) = 1 9x+8 √a la π sin (a) L(x)= Find the true values of f…

A:

Q: 1. (2xy² + 2y) dx + (2x²y + 2x) dy = 0, 2. + 6x) dx + (In x - 2) dy = 0, x y(1) = 3 y(e) = 1

A:

Q: 3. Determine the area above f(x) = x² + 2x + 3 and below the line y = 11. 4. Determine the area to…

A:

Q: dy Using logarithmic differentiation, find dx NOTE: Express your answer in terms of x only. dy dx =…

A:

Q: Consider the improper integral and the propositions dx J = = 6of foo x² + 3 1- The integral J…

A: Find out the correct statement.

Q: Compute the value of representation ³√√√3-i in exponential representation and polar

A: Given :3-i3

Q: Use Simpson's Rule with n = 10 to estimate the arc length of the curve. (Round your answer to six…

A:

Q: du z(zv−zn)

A:

Q: What is the largest circular area that can be enclosed by 100 ft of fencing. (Non-anonymous question…

A: This question is related to Circle, we will solve it using given information.

Q: 1 50° || 5 1191 10% what is

A: Here we have to find the value a→·b→=?

Q: Let u = cos(4x) and du = e2x dx, then by using IBP, the integral 1 (a) — e²¹ ²² c cos(4x) +2 SC.²2.…

A:

Q: Find 3rd derivative if ƒ'(x) = x³.

A:

Q: Use synthetic division to find the quotient and the remainder. (x²-1)+(x-1) The quotient is Q(x) =…

A: By using synthetic division to find the quotient and the remainder.x4-1÷x-1