L,x²(x³ + 8)²dx 19. Use the Fundamental Theorem of Calculus to evaluate:

Q: Q2/ Find the second derivative of the following: 1. 2 Va 2. (x-1)(x2-2x)

A:

Q: The table above gives values of f, f'. g and g' for selected vahues (A) -14 (В) -13 (C) -2 (D) 7 (E)…

A: We will use integration by parts and will take values from table to solve this.

Q: V4.01 V4.01 Give your answer correct to Use differential to estimate the value four decimal places.…

A: topic- differentials

Q: Let F(x) = f(f(æ)) and G(x) = (F(x))² . You also know that f(3) = 6, f(6) = 2, f'(6) = 5, f'(3) = 15…

A:

Q: 1 Integrate

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Q: An auto weighing 1,500 pounds is on a street inclined at 10" with the horizontal. Find the force…

A: Let's find.

Q: dy 3) y = u5 and u = 3x – 1; 2 Ans: 2 = 15(3x – 1)* %3D dx dx

A:

Q: x(2x² – 1)" dx After substitution is performed, which of the following is equivalent to

A: Given, ∫14x2x2-17dx

Q: Find r'(t), r(t,), and r'(t,) for the given value of to r(t) = (e', e²9), to = 0 r'(t) = r(t,) =…

A:

Q: 5. For vectors given the vectors v =(-4,-3) and w (-1,-1), find: (a) Sketch, v+w below. Find its…

A: We can solve as follows

Q: Find and b such that the following function is continuous at x=( [x] – 2a x 0 -

A: To find the values of a and b

Q: dz dz IV. Suppose z is a function of r and y, and tan Vy? +x² = z*e®%. Solve for and fie

A:

Q: ind all the relative extrema and saddle points, if any, of the given function below: f (x, y) = ln(x…

A: Relative extrema and saddle points: Consider the function f(x,y)For critical points , fx(x,y) = 0…

Q: Solve the equation (y - x + xy cot x)dx + xdy = 0

A:

Q: Find r'(t). r(t) = (tan(11t))i+t cos(t)j – vtk NOTE: Enter your answer in terms of i, j, and k.…

A: r(t)=((tan-1(11t))i+tcos(t)j-tkDIfferentiate w.r.t.…

Q: (c) F to

A:

Q: A company estimates that the revenue (in dollars) from the sale of x doghouses is given by R(x) =…

A:

Q: Write z1 and 22 in polar form. 21 = -36, z2 = V3 +i Z1 Z2 Find the product z1z2 and the quotients 2…

A: Let's find.

Q: 4. The complex numbers u and v are as follows: u = 3cis(1.234) and v = 2cis(2.415). Write the…

A:

Q: Differentiate Зх — 6 y = csc 5x2 + 9 A. Зх — 6 Зх — 6 - y' = cot csc 5x2 + 9 5x² + 9 ) В. Зх — 6 Зх…

A: Differentiation

Q: 4. Find the area between y=Z+3. and ys-xt1ox-9

A:

Q: 3x+1 5) lim x+ 2x +5 2+Vx lim ²-3x 6) 7) lim 2-Vx

A: Limits

Q: 1. Find the most general antiderivative of the function 12 f(x) = ( 2r + sin(4- r) + 7e

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Q: EXERCISES Solve the following differential cquations 9. y(x*y + e*)dx e*dy = 0 x ex Ans. =C

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

A:

Q: 1. Find r(9/2)=? 2. В (3, 2) %3D?

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Q: Show that the function f defined by (r, y) = (0,0) f(x, y) = { 22 + y (r, y) # (0,0) x + y

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Q: Waat is the degree of the following differential equation? dx dy + x²y dt? d"z = xyz dt? 3 2 O 1

A: The given problem is solved below in detail.

Q: Find the slope of the tangent line to polar curve r = 7 cos 0 at the point

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Q: 6. sech(4x) tan (4x) dx

A: We need to evaluate integral.

Q: convert csc x/ cos x to sec^2 x/ tan x

A:

Q: Differential Equations Please answer as soon as possible, i'll upvote (a) Find a particular solution…

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Q: Find the area of the region bounded by the given curves. Show the computed areas of sections using a…

A:

Q: sin in dx X COS21nx

A: A detailed solution is given below.

Q: The results of an interview of 200 students indicate that 89 like GE Math; 77 like GE Arts; 77 like…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Identify whether the given is a discrete or continuous variable. 1.The number of arrivals in an…

A:

Q: Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A: To find the smallest distance from the given point to the surface.

Q: 4ln(Arctan x) = 1- y

A:

Q: Match each graph type with its corresponding function. 1X Linear Function 1 y%3 2 2. y= log1 X…

A:

Q: 6. Which of the following integrals cannot be evaluated using integration by parts? A. ſe-*sin2x dx…

A:

Q: Q2. An object is kept at a distance of 20 cm from a concave mirror. A real mage is formed at 20 cm…

A: Topic:- algebra

Q: For which value of x is the function f(x) = X - 4 undefined? 2х - 8 O.4 04 1/2

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Q: A ladder 42 feet in length rests against a vertical wall of 36 feet in height. What is the measure…

A: Given query is to find the angle of elevation.

Q: Match each graph type with its corresponding function.

A:

Q: provide a step by step solution to the following equation dy/dx + 2xy + xy⁴ = 0 answer: 1/y³ = -½…

A:

Q: d d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating dt dt the product directly…

A:

Q: 5. For which values of a and b the following function is continuous at x=-2 3x + a x -2

A: A function f(x) is said to be continuous at a point x=a iff limx→a-f(x)=limx→af(x)=limx→a+f(x)…

Q: 3) Compute the cross product: x

A: Let vectors are given as       a = 4i-j+2k    &   b = -5i -3j+10k

Q: 26 State the Fundamental Theorem of Calculus . you must state the first and the second fundamental…

A: On solving this we will get

Q: provide a step by step solution to the following bernoulli equation (y⁴ - 2xy)dx + 3x²dy = 0 ; when…

A: Let's find.