Let

Q: 2x – x° dx (x – 1)° (x² + 1) 8.

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Q: A vector field is specified as G = 24xya, + 12(x² + 2)a, + 18z²a.. Given two points, P(1, 2, – 1) an...

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Q: Evaluate [sec^2 (-1-0.1i)][tan(12-36i)]. Express your answer in rectangular form in 4 decimal places

A: The given expression is sec2-1-0.1itan12-36i. We have to find the rectangular form.  

Q: Consider the function f(x) = 2x 3x- 36x + 54. a. Find the first derivative. f'(x) b. List any critic...

A: For critical values , f'(x) =0. If f'(x) >0 for every x on some interval I , then f(x) is increas...

Q: The sin*3udu is equal to 3 А. — и + 1 - sinбu 12 1 -sinбu + 12 1 -sinбu + 12 1 -sin12u + C 96 1 sin1...

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Q: Let the region R be the area enclosed by the function f(x) = ln(x) + 1 and g(x) = 3/4 * x - 1 If the...

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Q: 2. f(t) : 6 sint cos t ||

A: f(t) = 6sintcost here 2sintcost = sin(2t) f(t) = 3sin(2t) now if we want to integrate it integration...

Q: 1 – x2 + V1 – x2 In|(sqrt(1-x^2))-1|+c -In|(sqrt(1-x^2 ))+1|+c -In|(sqrt(1-x^2))-1|+c In|(sqrt(1-x^2...

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Q: Solve the differential equation (r² + 1)y – 2ry – 2x = 0 using the method of exact equations;

A: Differential equations

Q: 1. f(t) = sin ² Gt)

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Q: Evaluate S(e²-x²)(x) dx e2-x2 a) + c b) —е2-х? + c | e2-x2 c) -+ c d) e² – x² + c

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Q: s+1 3 F(s) = s2+ 2s-15

A: We know the property of inverse Laplace transform: L-1a·fs+b·gs=a·L-1fs+b·L-1gs And L-11s-a=eat   Gi...

Q: 2. Use the previous item to determine if the improper integra 2.x – x3 dx (x – 1)² (x² + 1) - conver...

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Q: Solve the systems of equation: Equation 1: x + 2y + 3zi = 20 + 5i; Equation 2: 5x - 3yi + 12z(1-2i) ...

A: I am attaching image so that you understand each and every step.

Q: PART I. Solve for x in each proportion. jewane 1uoy nislox3 inemetete yhslimie e shw x-5 3. x+3 15 2...

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Q: Find the surface area of revolution about the x-axis of y=7x+1 over the interval 1 ≤ x ≤ 3

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Q: Given the vectors M=-10ax + 4a, – 8a: and N=8ax+7ay – 2a:, find: (a) a unit vector in the direction ...

A: We can find the following answers as follows

Q: PERFORMANCE TASK Create a general rule in finding the limits of transcendental functions by stating ...

A: Limit of transcendental functions.

Q: Vx2 – 9 4. lim х-з х — 3 X→3

A: We have to find out limit

Q: A. List the first four terms of the infinite sequence with the given rule. 1. ап — п? — 4 2. аn 3 n?...

A: Please refer to the image below

Q: The cos'ydy is equal to 3 A. siny + sin?y +sin³y - sin'y+ C sin'y + C 3 1 B. siny – sin³y + siny -; ...

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Q: 1 dx x /1 – (In x)² 1

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Q: Use the disk/washer method to set up a definite integral (set up only, do not evaluate the integral)...

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Q: In Exercises 1 to 16, find the critical points of the given function and then determine whether they...

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Q: Find the divergence of the vector field V(x, y, z) = –5xi + (y + 2 cos(x))j+ (12z + e*x») k. (Give a...

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Q: 22 z) dz Evaluate COS 32/65 e^(2z) cos(z/4) + 4/65 e(^2z) sin(z/4) + c 32/65 e^(2z) sin(z/4) + 4/65 ...

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Q: III. Find the limit, and when appropriate, indicate the Limit Theorems being applied. 5+2x 1. lim I ...

A: Please see the answer below.

Q: 2 4 -2 where is f'>o ? Vx in the interval where is f'<o? Vx in the interval キ

A: Explained below 

Q: find the region or scope of the function

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Q: The statement g(x) dx = S" g(y) dy is, A true B. false C. sometimes true D. neither true nor false

A: To Check : ∫abg(x)dx=∫abg(y)dy is true or false

Q: Let a, = e8/n (a) Does the sequence {a,} converge or diverge? If it converges, find its limit. If it...

A: Given that an=e8n. A sequence an is said to be convergent if it has a limit when n tends to infinity...

Q: 6 For the function y = f(x) : 2 + x² ' a. Find the slope of the line tangent to its inverse function...

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Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize interferen...

A: Planet is spherical;g(x,y,z) =x2+ y2+z2 = 144M(x,y,z) =12x - y2+xz + 210   We need to satisfy,∇ M =λ...

Q: Find the area of the region enclosed by y = 4.75x and z = 9-y". -2 1 2 3 4 5 6 7 8 9 -1 Use horizont...

A: here y =4.75x x=9-y2 we have to find y so y/4.75 = 9-y2 y = 42.75 - 4.75y2 4.75y2 + y -42.75 = 0 y=2...

Q: I. Find the derivative of the following function. Show your complete solution. ( hint: some items ma...

A: 2. g(x)=3x2x2+2x-1

Q: Given the graph below, evaluate the following limits: = b Retrieved from:basiccalc_initial_release_1...

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Q: lim -Vx + e* + sin(x)cos(x) 1+ In (x)

A: limx→3-x5+ex1+ln(x)+sin(x)cos(x)=-35+e31+ln(3)+sin(3)cos(3)

Q: ㅇ 1/x dx 39 -1 +3

A:

Q: 7. What is the equation of the tangent line and the normal line to y = x² – 4x + 2 at (4,2) respecti...

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

Q: 2. The points P(-3,1) and Q(-1,r) in the second quadrant have a distance of 2/5. Suppose P and Q are...

A: The solution of the problem is given in the next steps.

Q: S. xdx (x²+2)3 A 2(x+1) 4(x²+1)2 B +C 2(x+2) 2(x²+2) 2 +C 4(x²+2) 2(x²+2) ? D 2(x+2) 2(x+2)?

A: Substitute, x2 + 2 = t.  

Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

Q: Calculate the cross product (v + w) × (5u + 4v) assuming that uxv = (1,1,0), uxw= (0, 3, 1), v×w= (2...

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Q: so

A: We will find the appropriate solution. 

Q: Use the Squeeze Theorem to evaluate lim sin(tan x) sech(secx).

A: It is required to calculate the limit limx→π2-sintanxsechsecx. The squeeze theorem states that "Let ...

Q: funchoN f= 2X3-3X²36X+54 find second denvaitive t"x)= use second derivarhive to identify .intervals ...

A: Consider a function f((x). If f"&lt;0  on an interval then f is concave down on that interval. If f...

Q: 2 1 2 A = = | 3 -2 4 -3 -5]

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Q: 2r3 + 4x² + 7x – 6 dx xª – 3x² – 4

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Q: 1. Suppose that the volume V of a certain cone can be expressed as V =nh, where h is the height of t...

A: For the solution of the problem follow the next steps.

Q: MATRIX ALGEBRA Find all solutions to the system of equations below, making use of the inverse matrix...

A: First we find inverse.