B. (P +Q+R+M+ N) u= V4 - Vw +1 du Pw + Qw² +3 +R/w +1 u" or dw? 9u" (w +1)"

Q: Find the intervals in which f (x) = 2x3 + x2 - 20 x is increasing or decreasing.

A: Follow the procedure given below. 

Q: The integral -8 sin(x) cos(x) dx can be evaluated in four different ways: (1) The substitution u = c...

A:

Q: decimal

A:

Q: 2. The daily number of calories needed by a reptile of weight x pounds can be approximated by the fu...

A:

Q: GENERAL INSTRUCTIONS: 1. Find the Indefinite Integral 2. Show your solution legibly on a short bond ...

A: Since we are given with multiple number of questions and our guideline is solve the first question o...

Q: 1. (Based on 7.6.33. from the book) The method of carbon dating makes use of the fact that all livin...

A: For living organisms; C14C12 = constant = 11012   Hence, 14C just before the organism dies; C14 =C12...

Q: Find the derivative of fcx) = en (sinh Cx)) 5

A:

Q: created a mathematical question on inequality( quadratic) and answer the question

A: Inequality is an  expressions that compares the algebraic terms. 

Q: tate the domain and range of the following functions. y = 5x – 4 y = V - x {(x, y)ly = Vx2 – 16 %3D

A: Given problem is :

Q: 6 state if a power function. If so, write it in the form f(x) = kx". If not, type N for k and p For ...

A: To solve the following problem

Q: cof z-csc z dx So 2cotzcosz

A: a detailed solution is given below 

Q: 20. Which of the following statements are FALSE? dy 2л -5 I If y = In (7 - 5x), then de 7 - 5x 3e3x ...

A:

Q: • Evaluate the following: 1) S (5 cos x - 4 sin x ) dx cos x 2) S dx sin? x 3) S (4 csc x cot x + 3 ...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: 1. Let R be a relation on the set A = {1,2,3,4,5,6,7,8} defined by aRb if and only if 2a/b?. That is...

A: Range of R = {y: x,y∈R}. Inverse Relation : R-1 ={y,x: x,y∈R}.

Q: 23. Find the point c that satisfies the mean value theorem for integrals on the interval [1,4] for f...

A: The given function is: f(X)=2x2-7x, [1,4]

Q: 2.2) Solve and explain the steps involved. (2+7a)e dr

A: In this question we have to solve Integration.

Q: Solve each of the following equations for x. log3(x+1) − log3(27) = 2

A: Solve each of the following equations for x. log3(x+1) − log3(27) = 2

Q: If someone could explain how this equation could be turned into a word problem? Example of the equa...

A:

Q: Let us try to find where a function is increasing or decreasing given the following.  1. h(x)=−x3 +...

A:

Q: The function f is shown below. What is the value of | f(z) )dx? Write your answer in simplest form. ...

A: Topic:- integration   

Q: How much work is done lifting a 10 pound object from the ground to the top of a 30 foot building if ...

A: Here, elementary work is: dw=(2.5y+10)dy

Q: (2æ + 3) = y+ y (2x + 3)i

A:

Q: Question 1 Let R be the rectangle {(x, y) :0 < x < 3,0 < y < 1}. Let D be the region bounded above b...

A: Solved below

Q: e3x (1 – 2e3x)2

A:

Q: Alice rents a place in Cornelia Street and saw a paper on her desk. It says, "The product of two pos...

A:

Q: Evaluate the following integrals of inverse trig functions. NOTE: SHOW COMPLETE SOLUTIONS 1.∫ sin^...

A:

Q: a) Enter a definite integral that gives the volume of the solid when the region above is revolved ab...

A: given problem is solved below in detail.

Q: x2 dx J V4x – x²

A: Given:       ∫x24x-x2dx    =∫x24-x-22dx  substitute u=x-2→dudx=1→dx=du                    use x2=u+2...

Q: Find the range of values of x for which y = x3 + 5x2- 8x + 1 is increasing.

A:

Q: Find a unit vector u in the direction opposite of (-8,-4, -9). u =

A:

Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

A:

Q: 14. Evaluate the following limits. a) lim (x² + 2x – 3) X-0 b) lim (x3 – 2x² + 3x + 4) X-

A:

Q: 3. Verify the following trigonometric expression. 1 1 = 2 sec2 x %3D 1-sinx 1+ sinx

A:

Q: 4. y = sin(cos 3x) – sin x cos 3x

A:

Q: Find the derivative of the function. f(x) = 8(x3 - x)4

A:

Q: For f(x, y) = 2x3 + x*y? – 5y? +10, Find fr:

A:

Q: Evaluate the indefinite integral by using the given substitution to reduce the integral to standard ...

A: Topic = Integration

Q: Find the total area of the shaded regions. The area is (Simplify your answer.) Ay 6- +2,4) 4 (2,4) j...

A: Here,, the region is bounded by the curve y=x4-3x2 &amp; y=x2 Now, the area bounded in the first-fou...

Q: Question 19 * 19. Differentiate f (x) = 3 ln (2x –1)´ with respect to x . 12 S"(x)=- 2x-1 A S'(x)=: ...

A: Given :f(x)=3ln(2x-1)2

Q: Prove the identity It tanh(x) tanh (x), 2x

A:

Q: Determine the maximum and minimum points of the given functions below. h(z)=4z3−3z2+9z+12

A:

Q: | sin 2x cos7x dx

A:

Q: How will you know if a function increases and decreases and how will you locate the maximum and mini...

A: Let y = f(x) be any function given   

Q: Determine whether the alternating series converges. 00 5ln k k k=3 O The series diverges. O The seri...

A: On solving this series we will get

Q: O Find the linearization Lcx) for fex) 3x -8x+7 when a=

A: We will find the linearization L(x) for the given f(x)=3x2-8x+7 when a=-2 in the following step.

Q: Region R in xy-plane is bounded by the curve y = 9sin(x) and the x-axis, between the lines x = 0 and...

A:

Q: 1. Let R be a relation on the set A = {1,2,3,4,5,6,7,8} defined by aRb if and only if 2a/b?. That is...

A:

Q: How much work is done lifting a 10 pound object from the ground to the top of a 30 foot building if ...

A: Given :   Cable weight used 2.5 pounds per foot

Q: Odr + (2r +1- Or) d0 = 0

A:

Q: 3. Given r(t) = e' sin t i + et cos tj + v2e'k, a) find the arc length function for the curve measur...

A: We have to find arc length function, point and re-parametric equation.