Determine whether the sequence with the formula {an} = e¯n sin n is convergent or divergent, if it is convergent, determine the limit

Q: pls solve the laplace transform of this function. you can use the table of laplace transformations.…

A: To find the Laplace transform of given function

Q: (c) √ z²dx-zdy+2ydz; C: the line segments from (0,0,0) to (0,1,1), from (0,1,1) to 77 (1,2,3), and…

A:

Q: For the probability density function (pdf) {1.2(2². (2-3x+x²) 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 O…

A:

Q: 7. Show that g: R → R defined by g(x) = (x+3)³. (a) Prove that g is bijective. (b) Find the inverse…

A: Given g:R→R           g(x)=x+33 if g(x1)=gx2  ⇒x1+33 =x2+33                x1=x2   (i) gx is…

Q: QUESTION 16 Find the distance traveled by a particle whose velocity is v(t) = 6sin (31) for 0≤1≤ RIN

A: 16) Here we need to find the distance traveled by the particle.   Given velocity v(t)=6sin(3t) and…

Q: Evaluate the definite integral. 3 S²v 3x + 16 dx

A: Given query is to find the integral.

Q: Find a basis for the column space and the rank of the matrix. [125] (a) a basis for the column space…

A:

Q: 3. The gross national product (GNP) represents the sum of consumption purchases of goods and…

A: We solve the problem regarding GNP and national debt

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A:

Q: Confirm that the Integral lest can be applied to the series. Then use the Integral lest to determine…

A: Given query is to find integral converging or diverging

Q: 3 (b) For the given curves, y = (x + 1)², y = x + 1 (1) Sketch the region enclosed by the given…

A:

Q: (a) Find the arc length function for the curve y = 4(x + 1)³/² with starting point Po(0,4).

A:

Q: 8 Σ n=1 1 1 1 1 +3+a+ Ζ η || • +...

A:

Q: Find the divergence of the field. F = ze xyz + xe xyzj+ ye8xyzk div F =

A:

Q: (a) For the region enclosed by the following curves y = √x - 1 + 1, y = 0, x = 1, (1) Sketch the…

A:

Q: 3 + 5+7+...+ (2n + 1) = n(n + 2)

A: Given that 3+5+7+...+(2n+1)=n(n+2)

Q: If z = f(u, v), u = g(r, s), v = h(r, t), r = j(s, t), and s= k(t) then dz dž=fu(u, v) [g- (r, s)[j.…

A: Given that we need to check that the statement for the derivative as given below is correct or not.…

Q: (a) Find an equation of the tangent(s) to the curve at the given point. x = t³-t, y = e²t + 3t+2;…

A: We will find the required.

Q: The top and bottom margins of a poster are 8 cm and the side margins are each 9 cm. If the area of…

A: We can solve the given problem by using the second derivative test.

Q: Please help answer question 7 and 8 thank you

A:

Q: Angle Properties The green angle is This is because the angles are Select... ✓ in size. A B H 58° E…

A:

Q: Calculate Sc F. dr, where F(x, y) = (x² + y, 9x - y) and C is the positively oriented boundary curve…

A:

Q: QUESTION 23 Differentiate with respect to x: 3 f(x) = (3x²2cosx) ³ O f'(x) = 54x5+24sin ²x O…

A: Topic = Derivative  As per guidelines , At a time only one question can be answered out of multiple…

Q: QUESTION 12 Differentiate with respect to x: f(x)=xsinx O f'(x) = sinx+xcosx Of'(x)=xsinx+cosx O…

A:

Q: Find the limit of the sequence with the given nth term. 5n + 4 5n

A:

Q: Evaluate the limit. X lim x-0 √36 + 8x - 6

A:

Q: Evaluate SdV where G is enclosed by the paraboloids z = G z = 4 x² - y². Answer: 2π 3x² + 3y² and

A:

Q: Suppose that there are initially 75 bacteria in a colony and after 3 hours, there are 300 bacteria…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Differentiate with respect to x: g(x) = tan−¹(x) sec (x)

A: The function is given as g(x)=tan-1(x)sec(x)

Q: Evaluate the following limits. If needed, enter 'INF' for co and '-INF for-co. (a) (b) lim X48 lim…

A:

Q: = (x)}

A: We will find the required.

Q: (a) (b) (c) Calculate the following antiderivatives: 13t-5t7 - 5 dt = I 45/4 + 6.5 √√u du = 17/3 dx…

A:

Q: he length of a rectangle is increasing at a rate of 6cm/s and its width is increasing at a rate of…

A:

Q: Question 2 2. y' +10y=x²y(0) = 0 Use the editor to format your answer

A:

Q: Consider the following. y = x³ - 3x + 5 -4 -3 -2 relative maxima relative minima x = horizontal…

A:

Q: (a) Calculate the following antiderivatives: (c) 3 - dx X (0) / -3 = -3 sin x + 6 cos x dx = -Te dx…

A:

Q: -4 lim x→-2 x+2

A:

Q: Let f(x) = 2x² f'(x) = - T. The derivative function Select one: O x ² 2 O 3x² O 3x²2² O 3x² O None…

A:

Q: noiteims 64. At what point on the curve y = 1 + 2e* - 3x is the tangen line parallel to the line 3x…

A: Topic = Application of Derivative

Q: Find the point on the parabola that is closest to the point (0, -3). HINT:…

A: It is given that the point is (0,-3) and the parabola is given x+y2=0. Let the closest point on…

Q: a. ∞ Σ n=1 4 2 5n+20n+15

A: given series is                ∑n=1∞45n2+20n+15then we have to check it is convergent or not  now ,…

Q: The demand function for device model JCE523 is given by p(x) = 440 (in dollars) and is the quantity…

A: Given query is to find rate of change of demand. Bc

Q: pls solve the laplace transform of this function. you can use the table of laplace transformations…

A:

Q: Show that g: R → R defined by g(x) = (x+3)³. (a) Prove that g is bijective. (b) Find the inverse g-¹…

A: to prove  g is bijective ,prove g is one one and onto.

Q: 18 Determine the limit of lx - 11 x-1 lim x-1- If f you believe the answer is INFINITY (or…

A:

Q: H. The radius and height of a cone both increase at a constant rate of 1.5 centimeters per second.…

A:

Q: QUESTION 30 1 If you use the definition of the derivative to differentiate f(x)= at x=2, then which…

A: Given query is to find derivative using definition.

Q: Evaluate the integral. Check your result by differentiation. (Remember the constant of integration.…

A:

Q: Suppose ƒ(x) = x² + 3x + 1. In this problem, we will show that f has exactly one root (or zero) in…

A:

Q: Sketch and describe the locus of points in space that are equidistant from three noncollinear points…

A: Here, three non linear points are D, E and F which are equidistant from locus of points in space.…