α. C Bl b = 6 a. Triangle above. IF C= √61, 6=6 Find a, d and B.

Q: Consider the following. √ ² x ² (4x² - 1)^ dx Let u = 4x³ du = - 1. Find du. dx Indicate how the…

A: To evaluate the integral.

Q: lim (x,y) →(2,2) x+y+4 4-x-y √√x + y −2 √x - √√√y+3 lim (x,y)→(9,6) x-y-3 x+y+3 C

A: Part 1,Given,           limx,y→2,24-x-yx+y-2

Q: Find an equation for the tangent to the curve at the given point. 6) y=x2-x, (-3, 12)

A: First find slope then use equation of tangent line

Q: Evaluate the integral. [cx (2 + # ) co(2+) dz 0-csc (2 + 7) -CSC O + C -cot (z + = + z+ + C O cxc…

A: use the substitution method to solve the integral.

Q: Find the area of the shaded region. r² = sin(20) L

A:

Q: Write an equation describing the relationship of the given variables. y varies inversely as the cube…

A: Given that y varies inversely as the cube root of x.

Q: Find a power series representation for the function. (Give your power series representation centered…

A: Given fx=ln11-x We need to determine the radius of convergence.

Q: 13. Solve the initial value problem using the method of Integrating Factors. y y' + 2 = x; y(1) = 1

A: y'+2xy=xy(1)=1∫xmdx=xm+1m+1+c

Q: solution

A: Please refer to the image below

Q: Which of the following statements is. CORRECT? There is not enough information to determine how many…

A: Suppose , fx=x3+x-1 Determine the solutions in 0,2.

Q: At what interval is y=3x5 – 5x³ decreasing? C O −11

A:

Q: Identify the real numbers xo, X1, X2, X3 and x4 in the figure such that each of the following is…

A: As we know when tangent is horizontal then f'x=0 when concavity changes then f''x=0 and x value…

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A: As we know that; The trigonometric identities: 1). sina+b=sinacosb+cosasinb 2). sinπ2-x=cosx 3).…

Q: Particle P moves along the y-axis so that its position at time t is given by y(t) = 4t²5t + 7 for…

A: Given, Position of the particle P is given by yt=4t2-5t+7 The position of the particle Q is given by…

Q: Question The region D bounded by y = e, z = 0, and y=z³ is shown in the following figure. Is this…

A: The given shaded region is of type II If we will find the area of the shaded region then firstly we…

Q: . Let ƒ(x) = (x² - 4)³. Do the following. (a) Find the maximum value and the minimum value of f on…

A: We have to solve given Questions.

Q: The Maclaurin series for cosx is ...? O a) 1 + +2 +4 +6 2! 4! 6! ○ b) x - - 6 + .... 21 + 21 − 2 +…

A: f(x)=cosx The Maclaurin series of a function is given by :…

Q: how long would it take 20,000 to double if it earned 6.25 percent interest and was compounded…

A: Topic:- application of algebra

Q: If f/u) = sinu; then (fog)'(3) = ? B) 1 = g(x) c) 6 10 kone E) None D) 9 A hind S'hospitals

A: f(u)= sin u u=g(x)=x2-9 To find (fog)'(3)

Q: Use the graph of y=-x² + 3x + 10 to help you solve -x² + 3x + 10 ≤ 0 There is no work to be shown…

A: Consider the graph of the funtion

Q: Find the numbers b such that the average value of f(x) = 3 + 8x − 6x2 on the interval [0, b] is…

A: formula for average value is  favg=1b-a∫abf(x)dx∫xndx=xn+1n+1+c

Q: Consider the given differntial equation y'(t)= (y-2)(3+y) Find the soultions that are constant for…

A: Given: y'(t)= (y-2)(3+y)

Q: Find dx for each of the following. 3 (a) y sin³x4 = (b) y + xy = 7

A:

Q: Find the inverse of the given matrix. A = 1 -1 -1 0 2 1 0 = -6-7 Select the correct choice below…

A:

Q: The United States population (in millions) is predicted to be  P(t) = 317e0.01t,  where t is the…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is where P=population…

Q: Find a unit vector in the same direction as v = Provide your answer below: (7,24).

A: Given vector v = { 7 , 24 } let u = unit vector

Q: Question Consider the region in the first quadrant between the positive y-axis and the functions y =…

A:

Q: Question 10 In the year 2000, the population of a small city was 50,000. The population grows at a…

A: The answer is in step 2.

Q: a(t) = t2 −4t + 6 , s(0) = 0 , s(1) = 20

A:

Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

A:

Q: Amanda invests $7000 in a new savings account which earns 5.0% annual interest, compounded…

A:

Q: forest fire is found at midnight. It covers 1100 acres then. It is spreading at a rate of f(t) = 5√t…

A: Topic:- application of integration

Q: The graph of f(x) is shown. वि | 45 6 7 X fl=o at x = ? DIY'S_

A:

Q: Find a unit vector in the same direction as v = (-8,-6).

A: Given  v = <-8, -6> To find the unit vector in the same direction as a vector we divide it by…

Q: 구 s2+75+16)

A:

Q: Approximate the area under the curve y=x^3 from x=1 tox=4 using a Right Endpoint approximation with…

A:

Q: Q1 -/m 3 SoNe |3x+1|-4=1

A:

Q: Find a plane containing the point (2,5,-5) and the line Question Help: Video Submit Question Jump to…

A: Please see the below picture for detailed solution.

Q: Find the derivative. 10) y = 8x-2-9x3 + 2x

A:

Q: A chemical company makes two brands of antifreeze. The first brand is 40% pure antifreeze, and the…

A: In this question we have to find how many gallons of each brand of antifreeze must be used.

Q: Suppose that f'(x) = 2x for all x. a) Find f(4) if f(0) = 0. b) Find f(4) if f(2)= -1. c) Find f(4)…

A: Given f'( x ) = 2x

Q: Determine the general/particular solution (whichever applies): (D4+8D³ +24D²+32D+16) y=0 ○y=e-²x (c₁…

A:

Q: Evaluate the cylindrical coordinate integral * 0/2* 3+26r² SS S dz r dr dº 00 0

A:

Q: O y"'+ 4y' + 4y =(3+x) e-2x, when x = 0, y = 2, y'= 5 3 -2x -(1/₁³3 ²+ = -₁ ² 0 - ² O O O y = 2e…

A: Please see the below picture for detailed solution.

Q: Solve the initial value problem using the method of Separation of Variables. y' - x³y=0; y(0) = 2

A: Given query is to find the solution of the differential equation.

Q: Show that cos (π-x) = sin X 2

A: Prove; Cos(pi/2 -x)=Sinx.

Q: Evaluate the integral. √ S 5x dx O 1267 O-1267 O 6335 091

A:

Q: 6) logg√3 7) log₁6 8) log4 8

A:

Q: 7. Suppose you want to use 1020 feet of fencing to enclose a rectangular plot of land. The fencing…

A:

Q: Given f(x, y) = = − xº + 3xy¹ - 5y³, find

A: