Question 1 Let a = 2i − 3j + 2k and b = i − 2j – k. - Determine whether the vectors a a) and b are orthogonal, parallel or neither. b) vectors a and b. Compute the angle between the two

Q: Question 10 Evaluate the following expressions. sin (tan-¹(√3)) cos (tan-¹(1))

A: By triangle property

Q: Let à = (4, 1,-5) and b = (2, -5,5). Find the angle between the vector (in radians) 1.09 X

A: Let's find angle between two given vector.

Q: * he transformation from Cartesian to plane coordinates in x-direction is given by x=rsine x=rcos20…

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Q: Consider the following. 2(x-8)² + (y - 6)² + (z − 5)² = 10, (9, 8, 7) (a) Find an equation of the…

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Q: Question 2 Consider the point P(-2, 1, 4) and the vectors a = and b=. (a) Find the unit vector u…

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Q: Solve the initial-value problem. dW dt e-4t, for t20 with W(0) = 6 The solution to the initial value…

A: The initial value problem,dWdt=e-4t, for t≥0 with W0=6

Q: The definite integral is equal to Select one: lò xác thỉ xác Of xdx + ² xdx Of xdx + xdx Of xdx -f²…

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Q: 17/3 cos (t)h(sinct)) dx

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Q: Give a possible formula for the function below. Let A = (1, 21) and B = (2, 147). Use the general…

A: Given problem:- Give a possible formula for the function below. Let A = (1, 21) and B = (2, 147).…

Q: a) Find all values of x where the function is discontinuous, and (b) graph the given function f(x) =…

A: Here, the given function is: f(x)=2x+2            if x≤0x2-2x+2   if x>0

Q: Find all values of x in the interval [0, 2(pi)] that satisfy the equation.  14 + 7 cos(2x) = 21…

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Q: Use the table of Laplace transforms to find the Laplace transforms of the following cos² 2t sint cos…

A: Topic:- Laplace transform

Q: Q2: Fill in the blanks : 1- ff f(x,y)dydx represents the. 2- y" +(3y')5 - sinx = 4 of order 3-ye…

A: Since multiple questions are asked I am answering first 3 subparts

Q: Evaluate 3 4 [*√v -√²+ = - = + 1 x x = [ 3 X4 15.125 -15.512 None of them 1.5215 15.215 15.512…

A: Application of integration

Q: A Sliding Ladder A 25 ft ladder leaning against a wall begins to slide. How fast is the top of the…

A: This question is based on application of derivative.

Q: Find the curvature K of the plane curve at the given value of the parameter. (Give your answer…

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Q: Find dy if the curve is described by the equation x³ 4x³y + 3y² +Ske y

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Q: Given i) Find the values of x and y when t = 3. the va Find dy E dx RAL LWhen IMA nd when 123 CALC…

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Q: [1 Q6: Find A1 where A = 3 2 -1 6 1 0 -2 4

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Q: he time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  take derivative

Q: Prove that 2 Sin X dx 1 + cotx + cos x It tan X cos 2 x

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Q: Use an area formula from geometry to find the value of the integral by interpreting it as the…

A: Find the value of integral

Q: 9. Rotate the region bounded by y=y=9, x = -2, x = 1 1 3 about the y-axis.

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Q: Solve the initial-value problem. dy = dx 4 √x for x ≥ 1 with y(1) = 3 The solution to the…

A: You must have idea how to find solution for differential equations.

Q: Let à (6, 7, 4) and 6=(3,2,2). = (a - b) × (a + b) i

A: To find cross product.

Q: -S 3x²-6x+7 x3-x²-x+1 dx

A: Solution of given question is written in below steps.

Q: Find the volume of the parallelepiped determined by the vectors a (3, 4, 1), b = (0, 2, 4), = (2, 4,…

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Q: Use the integral test to determine if series converges or diverges by solve Σ 11 ne 22 The series…

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Q: Find the Riemann sum using R4 over the interval [0, π]. y = x² sin x

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Q: ¹(²+1) 3 lim (x + 1) sin( 24x

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. 3T 2 sin(2x) sin(x) = = cos(2x) =…

A: We have to solve above question and find sin cos and tan value

Q: True or False: The definite integral 2 1² is equal to Select one: True O False 2/₁² (2x + e*)dx xdx…

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Q: an = arn+1 an = arn-1 * The general term of geometric progress Option 4 O Option 1 an=arn a" = arn-1…

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Q: Let a =(4, 1, 5) and 6 = (2, -5,5). Find the angle between the vector (in radians)

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Q: Complete the parametric equations for the line where the planes 8x + 11y + 4z 13x + 2y + 3z = 5…

A: This question can be solved using the concept of lines and planes in three dimensional geometry.

Q: Write an equation for a sphere centered at the point (4,7,2) with radius 5.

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Q: Use logarithmic function to find dy/dx, if y=(x^2+5)^sin (2x)

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Q: Find the indicated Trapezoid Rule approximation to the following integral.

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Q: True or False: We have Select one: True False -8 √xdx = 64 3

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Q: (a)l. - Find a vector equation and parametric equations for the line that passes through the point…

A: According to bartleby guidelines for multiple question I can answer only one question.Thankyou

Q: Convert the rectangular equation to polar form x² + y² = 9 (solve) rsino = 9 r=4.5 Option 4 O r=3 r²…

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Q: Write the given expression as an algebraic expression in x. cos(2 cos-¹(x))

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Q: Given f(x)=x/(x^2+4) find f''(x). Please do on paper.

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Q: Find the indicated derivative. 3 If f(x) = 24³x² + 96 3 VX find f'(8).

A: Here we will find f'(8),

Q: Let f(x)=1/3x+2. Use limit definition to find f'(x) algebraically

A: Solution of given question is written in below steps.

Q: Find the value Saxe-aix dx

A: Given: ∫0∞x e-x10dx

Q: Translate into English:  a. ∀x(E(x) ⇾ E(x + 2)).  b. ∀x∃y(sin(x) =y).  c. ∀y∃x(sin(x) = y).  d.…

A: Solution : Given that to translate into English

Q: IF Y=√√√xx-√√x²+√√2x³ 3 Find dy dx

A: Since you have asked multiple questions, as per our guidelines we are supposed to answer only one…

Q: Let a = (5, 5, - 3) and b = ( – 5, 3, 0). Find the projection of b onto a. proj¡ b = <

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Q: Find the general solution of the following differential equation. 81y" - 4y = 0 NOTE: Use c₁ and ca…

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