Find the derivative y = 2 Arcsin 2 -2 a. y' = b. y' = c. y' = d. y' = V2x-x² V2x-x2 V2x-x? 2x-x²

Q: given funchiow: fox) = x?e?" Defermine any pants of inflectro

A: Given :f(x)=x2e7x

Q: 9. The zeros of the polynomial function f(x) =x + 4x3-84x² - 176x + 640 form an arithmetic Find the…

A: Let's find.

Q: 7) A rectangle has its two lower corners on the x-axis and its two upper corners on the curve…

A: Follow the procedure given below.

Q: Determine whether f(t) is continuous, piecewise continuous or neither on [0, 10] and sketch the…

A: Here, the given function is: f(t)=tt2-1 The function is not defined at x=1.

Q: Tell if the piece-wise function is continuous on the given interval. Put a CHECK MARK AFTER the…

A: Given graph,

Q: pherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min. At…

A: We will find the rate of change of volume.

Q: Find the general solution of the following differential equation: (sin x)y' + (cos x)y = ex Then…

A:

Q: O Use polar coordinates to evaluate the integral V2² + y²dxdy. -V9-y2 got sdi wolod bas sitt od

A:

Q: Let Ax) = 2x - 7x +4x. %3D a. On what interval(s) is f'(x) > 0? b. On what interval(s) is fx)…

A: Given: fx=2x3-7x2+4x   The Power law: ddxxn=nxn-1

Q: 7. Find the length of the curve y (r + 4)/2 on the interval [0,3] 8. Set up, but do not evaluate, an…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 1. Consider the graph of y f(z) below. State the value of each of the following. You do not need to…

A:

Q: 2. Calculate the following limits. Justify your answer. L'Hopital's rule Rule ) (without using 2x +1…

A:

Q: a) Determine the position function, s(t), of an object if the acceleration function of the object is…

A:

Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of…

A:

Q: Q21 - In simpson's 1/3rule the intervals must be b) odd c) non of them 3 [2 13 -61 A=2, 2= -2 b) =2,…

A:

Q: dx x3 4. Зх2 + dy y+1 -8(у + 1) %3D 0

A:

Q: Calculate the following limits. Justify your answer. (without using L'Hospital's rule Rule)

A:

Q: Evaluate the line integral F. dr, where F (x, y) = (3+2xy) i+ (x² – 3y²) j and C is the curve given…

A: Given problem:-

Q: In the following diagram, the rectangle ACEG is divided into four congruent rectangles. F E a) List…

A:

Q: Suppose log ,2 = a and log ,3= c. Use the properties of logarithms to find the following. log b…

A: Now,                logb1728b=logb1728+logbb=3logb12+logbbUse logbb=1.=3logb12+1

Q: Use the substitution u =x + 1 to evaluate the indefinite integral below. 5 1) dx Write the integrand…

A:

Q: Let V = R2. For (vị , v2), (W1, w2) E V and k ER define vector addition by: (vi, v2) O (W1, w2) :=…

A:

Q: Find the limit. Use l'Hospital's Rule wh lim (In(x))2 X 00 5x

A:

Q: (10) Which of the following is(are) true for the function f(x) = 2 - log3(x + 1) ? I. The x and y…

A:

Q: A surface S has a parametrization Þ(u, v), whose domain D is the square shown in the figure. Suppose…

A: We need to estimate integral.

Q: Ballast Dropped from a Balloon A ballast is dropped from a stationary hot-air balloon that is…

A: Given query is to find the height of the blast after t time and the time when it will hit the…

Q: Determine whether n+1 converges or diverges. Give reasons for your answer.

A: Given: Here, an=n+1n2n. Notice that an=n+1n2n≈1n32. Now,                  limn→∞n+1n2n1n32=limn→∞…

Q: Write the sum using sigma notation: A 5+8+11+ 14+· + 44 > B, where ... TL 1 B 41

A:

Q: lim sin(9x) csc(7x)

A:

Q: 6. Use Descartes's Rule of Signs to determine the possible number of positive and negative real…

A: We have to use Descarte's Rule of Signs to determine the possible number of positive and negative…

Q: 021 - In simpson's 1/3rule the intervals must be c) non of them [2 3 022- The eigin value of matrix…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: V1 + x 8. 1- x

A:

Q: Q.1/ Find the area of the region bounded by the line y = 1- x and the curve x = 3 - y2. Q.2/ Change…

A: Area bounded by the curves :  If f(y) and g(y) are two continuous function on a,b and f(y)≥g(y) on…

Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A:

Q: cosx dy= (3x+2)

A:

Q: Verify if the following vector fields are conservative: 2y 21 a) A1 = (1+æ²+y² > I+x²+y² b) Ã, =…

A:

Q: Extremums et points d'inflexion N Aux exercices 33 et 34, utilisez les dérivée seconde de la…

A: 33) We have  y'=(x-1)2(x-2) .......................................... (1) We have to find maximum,…

Q: Find the roots of the following equation x6 – x – 1 = 0 Using an initial guess of xo =1.5 ?

A: We have to find the roots of the given equation.

Q: Evaluate the indefinite integral. (Use C for the constant of integration x3. x2 + 37 dx

A: Given query is to find the value of the integral.

Q: Show that the following differential equation is an exact equation. (2x+xy-1)dx+(x'y+3)dy = 0,…

A:

Q: In calm waters, the oil spilling from the ruptured hull of a grounded tanker forms an oil slick that…

A:

Q: Suppose that F(x) = f(t) dt, where V5 + uo du. f(t) = Find F" (2). F" (2) =

A:

Q: Let u = (3,-2), v = (-2,5), and w = (0,1). Express 10u-4v+w in the form (a,b). 10u-4v+ w= (Simplify…

A:

Q: Determine the resultant of the force system shown in Fig. 224 300 1 2 30 361 3.

A:

Q: Find the particular solution that satisfies the differential equation and the initial condition.…

A:

Q: Calculate the indicated Riemann sum S, for the function f(x) = x - 8x- 9. Partition [0,6] into three…

A: We have to find Reimann sum and area.

Q: Consider the functions. f(u) = u° + u g(x) = cos (x) Find the following function and derivatives.…

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: Approximate the point of intersection of the graphs of f and g. (х, у) 3 y 2 5 10 15 -2 -4 Solve the…

A:

Q: cos (2x) cos (x)+ sin (x) (5) The expression is equivalent to (A) cos(x) + sin(x) (B) cos(x) –…

A: Solution is done in step 2

Q: Evaluate the following integral. cos x dx -6x 1 sin 2x dx 2 - 6n O C. dx + cos 2x dx OD. dx + - 6x 6…

A: