H.W Let 71 = -2 + 1li, 22 = 2 - i. Showing the details of your work, find, in the form x + iy: %3D %3D

Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal tange...

A:

Q: Evaluate the Integral 2. S V5 + 12x – 9x²dx - ANSWER: 2. (3x-2)v5+12x-9x²+9Sin¬13*- 2]+C (3х-2)

A:

Q: 3.44 Given that F= x'ya, – ya,, find (a) $¸F·d1, where L is shown in Figure 3.30. (b) Ss(V × F) · dS...

A: The given problem is solved below in detail.

Q: 13) The marginal cost function for a particular commodity is given by C'(x) = 6x-17. If the cost of ...

A:

Q: Find the complete solution: 16) = x2 – 2x – 4, y= -6 when x= 3 | dx

A: ∫xn dx = xn+1n+1+C

Q: 8. S Ve3x dx A 3 3 2x e3* + C 2. 2 e2* + C 3 B e 3x. e* + C

A:

Q: Find the slope of the tangent line to the graph of the given function at the given value of x 1/2 3/...

A:

Q: Find values of x, if any, at which fis not continuous. x – 1 + х2 — 1 3 f(x) = 1) Since the sum of t...

A:

Q: cot x tan' x +- 2 csc x secʻx -1 II

A:

Q: 4 81-72sin²0+16sin*6 do S sin 20 de 1–2cos²0+cos40

A: Let I=∫sin2θ81-72sin2θ+16sin4θ1-2cos2θ+cos4θ4dθI=∫sin2θ92-2*9*4sin2θ+4sin2θ21-2*1*cos2θ+cos4θ4dθI=∫s...

Q: aph of f shown below has vertical asymptotes at x= -1 and x=2. Analyze the following limits. OA. lim...

A: Limits

Q: Evaluate the integral. /| x In(y) dA, R = [0, 11] × [1, e] (Use symbolic notation and fractions wher...

A:

Q: The function h described by h(r) = 69.1 + 2.2r can be used to predict the height, in centimeters, of...

A: The function h described by h(r) = 69.1 + 2.2r can be used to predict the height, in centimeters, of...

Q: Let U be the universal set such that any set is a subset of U. Let A and B be sets. Usc element argu...

A:

Q: Simplify cosx + sinxtanx. 1 + sin²x cscx secx

A:

Q: 9) ſ cos“ x sin x dx X

A: topic- indefinite integral

Q: Find the centroid of the region in the first quadrant that is bounded above by the lines y = 2x and ...

A:

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A:

Q: 9. dx 1+ ex A - In le *|+ C C - In le x +1 + C %3 In leI+ C B D Inle x+11+ C x- O D O E None

A:

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t- 9t me...

A:

Q: 2. Find the area of the region enclosed by y = 3.5x and z 9-y. %3D 2- 1- 1234 5 6 7 8 9 -1 of Use ho...

A:

Q: Consider the set of 21 consonants and 5 vowels.  How many distinct arrangement of 8 letters are ther...

A:

Q: b) Evaluate the intergral. Show (with your work) that it is Cunvergent and give its Value or that it...

A:

Q: The position of the particle at time t is given by s(t) = t- 18t + 80. The particle is moving from r...

A:

Q: If a tank holds 4500 gallons of water, which drains from the bottom of the tank in 50 minutes, then ...

A:  Given:         V=45001-150t2 0≤t≤50     the rate at which water is draining is given by      dVdt=d...

Q: Given h(x, y, z) = 4Vx+ ln (y² + z²+1). (a) Find the directional derivative of h at the point (1,0, ...

A:

Q: 3. [7 the graph of y = x3, on the interval [0, 1], is revolved about the Find the surface area of th...

A:

Q: In each part, evaluate the expression given thatf(5) = 9, g(5) = -1,f' (5) = 18, and g' (5) = -9. %3...

A: Since you have posted multipart questions i can do first three subparts as per our company guideline...

Q: 3. S 2r dr

A:

Q: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y - xy + 6 ...

A: Given problem:- Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equa...

Q: *Find the equation/s of the tangent line/s to the curve y = x* - 6x and perpendicular to the line x-...

A: dydx =limh→0  f(x+h)-f(x)hdydx =limh→0   (x+h)4-6(x+h)-x4+6xhdydx =limh→0   x4+4x3h+6x2h2+4xh3+h4-6x...

Q: A spherical balloon is being inflated. Find the rate (in ft?/ft) of increase of the surface area (S ...

A:

Q: Analyze and sketch the following curves. Indicate critical points and label your graph.

A: We will see the critical points of the function which will be the solution of Y'(x)=0.

Q: 9. Find the bounds of integration a, b, c, d such that T (a, u) dydar. f(x, y) dædy =

A: x≤y≤4x=y →y=xy=40≤x≤4x=0 to x=4  

Q: Calculate the integral approximation S12 for Si dz. 5+1

A:

Q: 8x2 + 8x + 2 dx (4x² + 1)

A: 4x^2+1 cannot be fractionised further

Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A:

Q: Express the repeating decimalas a fraction. 0.517838383838.. 0.517838383838... =

A:

Q: Find the exact length of the curve. X = 3 3D 글Vy (y-3), 9sys 25

A:

Q: Find all values of x at which the tangent line to the curve 2x + 11 is perpendicular to the line y =...

A: Graph and tangent line

Q: Evaluate the Integral dx – (**V2Tan-1x-(Tan-1x)2 1-х4 '2Tan-1x-(Тап-1x)2 3. S х?/2Tап-1x- (Тап-1x)2 ...

A:

Q: The sales of a new high- t S(t) = 99 - 80 e -0.21 where t represents time in a.) After 1 year. b.) A...

A: Topic: derivatives  Note :- as per our guideline if more than three subparts posted  than only first...

Q: Evaluate: 5!+ (4! 1!)

A: The given expression,      5!÷4! 1!

Q: Evaluate the Integral |4sin²0+4 sin 0 5. S de tan²0+1 ANSWER: 5. - [(2 sin 0 + 1)V4sin²0 + 4 sin 0 –...

A:

Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A:

Q: sin 4zdz J 16+ sin ª 2= 4.

A:

Q: 1 1 lim X/1+ x

A: The given limit,       limx→01x1+x-1x

Q: Find the radius of convergence of the power series. (If you need to use o or (-1)" x" Σ 2" n = 0

A:

Q: 3. Find the derivative of the following functions using the increment method. (10 pts each) 6- 3x 1 ...

A: a f(x) = 1/2-x now using increment method f'(x) = limh→0 [f(x+h) - f(x)]/h f'(x) =limh→0 [1/ 2-(x+h)...

Q: sin-"(ry) = cos-'(x – y)

A: