Perform the indicated operations and write the result in standard form. - 8 + V - 20 24 ... - 8 + V - 20 24 (Type an exact answer, using radicals as needed. Type your answer in the form a + bi.)

Q: For which points the following function is continuous y f(x) = (2x – 4)2 – 4 %3D

A: Given the function is y = f(x) = (2x-4)2-4

Q: Find the length of an arc intercepted by a central angle 0 in a circle of radius r. r= 72.22 in, 0= ...

A: This is basic problem on angles solution is given in the next step

Q: Let f(x) = x sin(2 x). Find its average value for 0sxs/2.

A: Given the query is to find the average value of function over the interval [0,π/2].

Q: Use the chain rule to compute the derivatives. a) f(x) = sin? x = (sin x)? b) f(x) = sin(x²) c) f(x)...

A:

Q: SOLVE the following DIFFERENTIAL EQUATIONS. y'(2y - x e*Y) = 2 +yey

A:

Q: 11) A function is in a form of y = ax^3 + bx^2 + cx + d. It has relative maximum at (3, 3) and point...

A:

Q: Determine the volume of solid obtained by rotating the region bounded by y = x^2 – 2x and y = x abou...

A: Given problem:- Determine the volume of solid obtained by rotating the region bounded by y = x2 – 2x...

Q: P1. For each of the following infinite series: a) Determine n-th partial sum Sn b) Show whether the ...

A:

Q: Evaluate the following. Show solution using the basic formulas.

A: Evaluating the indefinite integral  

Q: Find the integral of 12sin5xcos5xdx if the lower limit is 0 and the upper limit is 90o.   A. 15.5 ...

A: Using definite integration.

Q: (2x³ – 3x²y + y³)ª = 2x3 – 6x²y + 3xy? dx

A:

Q: 1 SI. Evaluate dV, where E lies between the spheres x2 + y? + z? a2 + y? + z2 = 1 and æ? + y? + z² 1...

A: According to bartleby guidelines when student post more than one question then expert must have to a...

Q: SVEV4 + tVE dt

A:

Q: x+k², ifx < 2 What value(s) of k will make f(x) = - continuous? %3D |kx + 10, if x 2 2

A: If the function is continuous then left limit is equal to right limit

Q: Find the first derivative for the following function. Do not simplify. a) f(x) = (2x² + 4)(x* – 3x)

A: Given: (1)     f(x) = 2x3+4x4-3x (2)     f(x) = 1+cotx  2cosx

Q: Direction: Find the derivative of the function. g(z) = (3 – 2") (zª - z + 1) Select one: g'(x) = -bx...

A: Given that: g(x)=(3-x2)(x3-x+1)

Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x+1 x3 a. Find lim f(x) or state...

A: From graphlimx→1-f(x) =0limx→1+f(x) =0Thus limx→1f(x) =0

Q: Analyze and apply statistics Find the derivative of the following:  a. y = 2x³ - 3x² + 6x – 5      b...

A: As we know that; The sum difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 The Product rule: f·...

Q: Consider the function below. Use it to find the following limits. ² – 49 F (x) |r – 7|

A: Given that: F(x)=x2-49|x-7|

Q: Direction: Find the derivative of the function. I+5 w = 2x - 7 Select one: 17 (2г — 7)2 17 (2x – 7)2...

A:

Q: 器+4+5y = 8 sin x when dx X -0, y=o y'eo Find when x = T

A:

Q: Convert the following integral to polar coordinates. Do not evaluate the integral. 1 V1-x2 (x + y)dy...

A:

Q: (2) At what point(s) will the tangent line to y = x² – 4x + 3 be horizontal?

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

Q: nverse Function: One-to-one   Running burns about 13 calories per minute. a) How long would you h...

A: Given that: Running burns about 13 calories per minute.

Q: Find the moment of inertia of the region between the parabola y = 8 − x2 and the line y = 2 – 2x fro...

A: Our Aim is to find the moment of inertia of the region between the parabolay=8-x2 and the line y=2-2...

Q: Find the degree, leading coefficients, and the maximum number of real zeros of the polynomial. f(x) ...

A: Topic:- polynomial

Q: Given the equation below. Give what is being asked. sec23xdx a In(1+4tan3x) + C 1+ 4tan3x Find: a + ...

A:

Q: 2 + dx

A: Given :∫5x-3x2+2x4dx

Q: x2 dx 25 - x2

A: Here we use the trigonometric subsitution method to solve the given Integral.

Q: Find the sum of each of the geometric series given below. For the value of the sum, enter an express...

A:

Q: Miscellaneous Operation on Complex Numbers 1.-22+1 2.(2 + i) 3.cos h(i)

A:

Q: Do vectors (2,0,1) (-2,0,0) and (2,3,0) lie in the same plane? Explain your reasoning

A:

Q: 16 3. Find an equation in Cartesian coordinates for the conic from with equation r = Identify the ty...

A:

Q: A 3-m long steel pipe has its upper end leaning against a vertical wall and the  lower end on a leve...

A: Given that: Length of steel pipe=3mLower end moves away from the wall at a speed = 2cm/s

Q: (c) y = e* sin 7x + In(cos(x)) (d) y= xarcsin x+ V1-x²

A:

Q: Question 46 Find the volume of the solid that results when the region in the first quadrant bounded ...

A:

Q: For each of the following integrals find an appropriate trigonometric substitution of the form x = f...

A:

Q: the following. Show solution using the basic formulas.

A: Given that:

Q: Evaluate: 1- cos(x) lim 3x2 X+ 0 Express your answer in 4 decimal places.

A:

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. (1+ cos x)y = sin x(sin x + sin x cos x- y)

A: According to question,Given differential equation,1 + cos x y' = sin x sin x + sin x cos x - y

Q: 3. 3x2y2 dx + (2x ³y + x³y*)dy =c

A:

Q: x-3 If f(x) = X-8 where is f not differentiable? %3D

A:

Q: Evaluate: 1- cos(x) 3x2 lim Express your answer in 4 decimal places.

A: According to question,Given limit,limx→0 1- cos x3x2

Q: Find the volume of the solid that results when the region in the first quadrant bounded by the curve...

A:  

Q: Find the limit. Select the correct choice below and, if necessary, fill in the answer box within you...

A: Given that: limx→-9x3+729x+9

Q: dx 10. J V2x2-1

A: See the details solution in below

Q: Solve for A, B, C and D in the equation A B Cx + D %3D x² (x² + 1) x2 +1

A:

Q: (1) хdy — ydx — Vx? + у? dx (2) — Зу? — у? sin x dx (3) (x2 + 1)4 — у2 + 1 dy dx

A:

Q: Use properties of limits to find the indicated limit. It may be necessary to rewrite the expression ...

A:

Q: Given the ellipse 9x² + 16y²-144 = 0 a) determine the length of arc in the first quadrant.  b) det...

A: Given the ellipse 9x² + 16y²-144 = 0 a) determine the length of arc in the first quadrant.  b) deter...