Which of the following vectors is equivalent to the vector with magnitude 2 units that is oriented 30° above the positive x axis?

Q: 13. (2x³ +9x) dx ²+3)(x² − 2x+3)

A: Given

Q: D. Calculate volume enclosed by (z = 8 - x² - y²) and (z = x² + y²), (Use order dy dz dx).

A:

Q: QUESTION 1 In x Complete the following table to evaluate the limit lim X-00 √x Step Explain the step…

A:

Q: QUESTION 13 Is this statement true or false? An infinite sequence (a) is convergent only if lim a, =…

A:

Q: 5. fx3* dx

A:

Q: 1. 2. 3. Principal Nominal $10,525 $11,500 $25,550 Interest Rate Compounding Frequency 0.00 %…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Read, analyze and solve for the following. Express your answers as decimals rounded off to two…

A:

Q: What should be the shape of an oval field complying to a given circumference, if it is to have a…

A: Given :The shape of an oval field complying to a given circumference, if it is to have a maximum…

Q: For the function gox) graphed here, find the following limits or explain why they do not Im gox) e.…

A: Given,

Q: Q1/B) Find the length of the cardioid curve: r = 1+ cose

A: A detailed solution is given below.

Q: 149. Determine the real number a such that vectors a = 2i +3j and b=9i+aj are orthogonal.

A:

Q: cos5 0 sin 20 de

A:

Q: 4. f sin3x sin2xdx =

A:

Q: f(x, y) = x³+y³-300x - 75y-3

A:

Q: x6ex7dx

A: Here we have to integrate the given function.

Q: ind the equations of the tangent line to the ellipse x² + 4y² + z² = 9, x = 2 at the point (2, -1,…

A:

Q: 2x²+x-2 (x+1)(x²+1) None 5 2 2 5 4 if f If A (B) C D E 1 5 | + 4 -MA+ x+1 -dx = А B (2x) + C x²+1…

A:

Q: 5 dx Evaluate: (x-3)² 1 A B C D E -1 ∞o (does not exist) 1 0 None

A:

Q: 3cos(6x) How can this value be converted to sin How much is it in sin?

A:

Q: (a) An archaeological artifact is found to have 45% of its original carbon-14. How old is the…

A: Half life and decay

Q: Find the area of the region bounded by y = x^2 + 2x -6 and y = 3x.

A: As per Bartleby guidelines rule I am answering only first question as other questions are not a…

Q: y=(-4x²-5x²) (7x - 2)

A:

Q: 4. Express the following in cartesian form. 2 2 cos 03 sin

A: Given r=22cosθ-3sinθTo express in cartesian form:

Q: If ["(x+5) dx = 14, then the value of b is equal to A) None B 2 C) 4 (D) -3 (E) 3

A: Let's find given integral.  We there is lower limit not given but it only possible 1.

Q: y" + 4y= cos²x

A:

Q: 12 [ sin* ‡nxdx

A: We can find the answer as below

Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

A: Area is shown below÷

Q: 7. √16-e2x e* -dx

A: We can solve the integration as below.

Q: Q2/A) Solve the following differential equation x²(y + 1)dx + y²(x - 1)dy = 0 DE

A:

Q: 4 -4 x3 16-x² dx is equal to

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Q: •uy uz [T dx dz dy 1x represents the volume of the region in the first octant that is inside the…

A: Use triple integral concept

Q: If A B (C) E +x+ (x-1)(x+1)(x-2) 11 3 - <-2 11 3 None 3 dx = + B +dx, then the value of C is equal…

A:

Q: Find the area of the region lying between the inner and outer loops of the limacon r = 1-2 sin θ

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

Q: dx e* + e* +ex 5. ・ So =

A: We can find the answer as below.

Q: solve the equation :- y'(t) = y(t) [a-y(t) ] ₁ y(0) = a/2, 970

A:

Q: 2. x²+x+2₂ x²-1 -dx

A: Follow the procedure given below.

Q: Evaluate: (7-j3)ln(cosh(2+j5))

A:

Q: Evaluate the following. 1. [(sec 3x+cos3x)² dx

A:

Q: Suppose that an accelerating car goes from 0 mph to 58.6 mph in five seconds. Its velocity is given…

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Q: xp 11. 1. f, dxx -X

A: Let's solve  given integral.

Q: 1. Solid S is bounded by the ff. surfaces. Sketch S and label its boundaries. y = √√√√x² + z², y =…

A:

Q: fxe-*dx= 303 blow Sie f sin (In y)dy =

A: Integration by parts : ∫u·v dx = u·∫v dx - ∫ddxu·∫v dx dx

Q: 50 50 ["*" (ax² + hx² + cx) dx = 2b ["* x² dx -50 0 (A) True (B) False

A: As we know that; The Sum Rule; ∫fx±gxdx=∫fxdx±∫gxdx And ∫a·fxdx=a·∫fxdx  where a is constant.   We…

Q: If a particle moves on a straight line so that s = et (cost – sint) . Which expression can be used…

A:

Q: P af af Q3.If f(x,y)=sin(x-3y) + sin(x) find: and əy ax

A:

Q: (cos-¹2w) 6. ¡ COS dw √1-4w²

A:

Q: Which of the following is or is not an improper integral? Clearly explain your choice. A. ₂dx B. dx…

A:

Q: Find the general solution of the ODE. d'y dy +3. dx² dx Stre

A: Given d2ydx2+3dydx=5x+xex

Q: 1. Find the area of the region bounded by y = x^2 + 2x -6 and y = 3x.

A:

Q: If 10 fro A True B) False f(x) dx = 17 and 8 Lof(x) d f(x) dx = 12, then 10 ["fo f(x) dx=5

A: ∫010 f(x)dx = 17 ∫08 f(x)dx = 12 ∫810 f(x)dx = 5