2 z² +4 lim z 2i 2z²+(3-4i)z-6i

Q: 4- Find the volume of the solid obtained by rotating about the x-axis the region under the curve y =…

A: Given curve, y=5x from 0 to 4

Q: Find dy dx In y = e sinx Ody dx dy dx O dy dx O dy da - = = 1 = ye" sin x ye" cos x 1- ye" cos x yey…

A:

Q: Determine the critical point/s of f(x) = ln(x² + 4x + 14) on [-4,2]. 0x= -3 Ox=1 0 x = 0. 0x = -2

A:

Q: a. Find the lengths of the sides of a rectangle whose perimeter is 40 cm and whose area is 75cm².…

A:

Q: Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that f(9) = 7, f(7) = 3, f'(7) = 8, f'(9) =…

A:

Q: he regions where sinx < x. (

A: Topic:- trigonometry

Q: J 6x x +3 dx

A:

Q: 17R(1,1,3), S(3,-3,6) and U(-2,4,7) are three vertices of parallelogram RSTU. a) Find the…

A: Given that the three vertices of a parallelogram RSTU are R1,1,3, S3,-3,6 and U-2,4,7 Now, let the…

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y c=-2 -3 + (-2, 3).…

A: The graph of the function is  To evaluate: a limx→c+fx, c = -2b limx→c-fx, c = -2c limx→cfx, c = -2

Q: /Use the mid-ordinate rule with eight intervals, to evaluate √²3sin² (x), correct to 3 decimal…

A:

Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x)= 2x…

A:

Q: ƒ(5x² + 4x³ − 2x + 1)dx 이름 +2 -를 +a + C 5 2 O x5 x5 + x²-x²+x+C O 20x5 + A O 20x³ + 12x² −2+ C…

A: Given, ∫(5x4+4x3-2x+1)dx

Q: For the function A whose graph is shown, state the following. (If the limit is infinite, enter 'o'…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) (t+ At)² -4 (t+At)…

A: Follow next step

Q: Suppose f(x,y)=xex. At the point (2,0), in what direction is the directional derivative maximized? |

A:

Q: Given z=x²y+3xy, x=sin(2t), y=cos(t), find dz/dt when t=0

A: ddxcosx=-sinx

Q: xample following flow field: Find the acceleration u= 2x² + 3y, v=-2xy + 3y² + 3zy, w= at a point…

A:

Q: S 3x+1 - dx x²-x-6

A:

Q: aximum profit is d to nearest integer.)

A: Topic:- application of derivatives

Q: 4. Let v = (v1, v2, v3), w = (wi, w2, w3) be two non-zero vectors not on the same line in R Suppose…

A: answer is in next step. please give a like !!!

Q: r(t) = (t sint, 1 - cost) at the maximum point (x, y) = (1, 2) which occurs when t = . You will need…

A:

Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) |x-1| In its domain. a. What…

A:

Q: iii please, NOT i or ii

A: Topic:- vector algebra

Q: 8 1 ₁ }(s) = = nº n=1 Show that finding the value of the Reiman Zeta for (2) is just the value Basel…

A:

Q: Given f(x,y)= x³(x²y³-2y²), find all of the first and second partial derivatives.

A:

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Concept: Exact differential equation: For the differential equation of the form Mdx+Ndy=0 If ∂M∂y=…

Q: differentiate y = In (x2-1/x2+4)2

A:

Q: Let h(x) = tan(3x + 4). Then h' (2) is and h'' (2) is

A: The function is given by hx = tan3x+4 To evaluate: The values of h'2 and h''(2)

Q: 4. Which of the following is an exact DE? A. (x²+1)dx-xydy-0 B. xdy+ (3x-2y)dx = 0 C. 2xydx…

A:

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A:

Q: 1 dx 49 1 42 49 arcsin 7x) - 49 sin 2 arcsin 7x+C (2x) 2 (1 x)) X

A: Given, ∫ x249-x2dx

Q: Solve the following D.E dy sin x- dx +2y = tan 2

A: Concept: First-order linear differentiation equation: The linear polynomial equation, which includes…

Q: 5. √√Z+ 2 1 3z dz

A: ∫ zn dz = zn+1n+1+C

Q: An object moving in a straight line travels s(t) kilometers in t hours, where s(t) = 8t² + t. (a)…

A:

Q: Write the equation of the circle centered at (1, 10) with radius 3.

A:

Q: 1- Calculate the area of the region which is bounded by: y = (x - 1)², y = (x-4)2, and y = 0.

A:

Q: Differentiate g(N) = rN g'(N)= with respect to N. Assume that K and r are positive constants.

A: We need to find g'(N).

Q: An analysis of the daily output of a factory assembly line shows that about 50t+t²- 1 tunits are…

A:

Q: Let f(x) √5 + 2. Using the definition of derivative at a point, a. enter the expression needed to…

A: f'(x) = limh→0f(x+h)-f(x)h ( first principle derivative)f(x) = 5x+2Apply first principle derivative…

Q: Find the integral for positive integers m, n sin mx cos nx dx -T

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: Evaluate the integral. (Use C for the constant of integration.) x² - 16 dx +8

A:

Q: The diversity of a population that contains two species can be measured by the Gini-Simpson…

A: The diversity is given by H(p)  H(p) = 2p(1-p)   H'(p) = d/dp(2p(1-p)) H'(p) = 2(1-p) -2p H'(p) =…

Q: Evaluate limo (1-x) a O-1 00 01

A: Given problem:-

Q: Define R as the region that is bounded by the graph of the function f(x) = 2e, the x-axis, x = -1,…

A:

Q: ormation to answer the next question. The graph y = f(x) has undergone one reflection and one…

A: The given function y=f(x) undergoes 2 transformations to map the graph of y=f(x) on to the graph of…

Q: along the line AM WI a magnitude of midpoint of the vertical side OB of the parallelepipe Express F…

A:

Q: 3x+5 Find S dx (Using substitution method). √3x-7

A: This question can be solved using the concept of integration by substitution.

Q: x 5√x ³ + 4 dx 3 Lx5

A:

Q: S arctan y dy y3

A: Let's evaluate given integral.

Q: Find the Taylor Series for In x about the value a.

A: