Using the rhombus ABCD, represent the following vector combinations as another vector in the rhombus. C A a. AB + AC b. AD - BD c. AB – CB + CẢ D B

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A:

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

A: Find the Sum of Geometric Series : –8 + 2 – 2/4 + 2/16 – 2/64 + 2/256 – ........we can rewrite as…

Q: Calculate the acute angle that is formed by the intersection of each pair of planes. a. 2x + 3yz + 9…

A: Given:We are required to:

Q: Find the derivative of each function shown. Show all steps and simplify the solution so there are no…

A: To find the derivative of each of the following function shown.(a) (b)

Q: (b) f(x) = 1²³-1² for x = 1 for x = 1

A: it is given that  value of function at x=1 is 1 ,  and at x =1 ,  is not defined

Q: (a) Find (b) Hence evaluate d -1 dx (2x2+1)³ 1 So 12x (2x² + 1)4 d.x.

A:

Q: and q are complex numbers such that p = 7√3 and p + q = 12√2. On what interval must q fall? O…

A:

Q: Evaluate the integral f dx x²√36-x² using trigonometric substitution. Note: Use C for an arbitrary…

A:

Q: (a) Let f(x) = of f(x). a ba where a, b, x > 0. Use limit definition to find the derivative f '(x)=…

A:

Q: If an object is moving along a linear path with v(t) = 3t² + 3t - 5. At time t = 0 the position of…

A: If an object is moving along a linear path with .At time the position of the object is 6. To write…

Q: Find lim 14x4 x f(x) 0.900 0.990 | 0.999 1.001 | 1.010 1.100

A:

Q: Convert the following point from cylindrical to rectangular coordinates: (9,11pi/6,5)

A:

Q: a²z Find dx² for z = for Z = y tan(8x)

A:

Q: Given that sino 3 and 0<0<= what is the exact value of sin(20)?

A:

Q: . Consider a parallelogram generated by the vectors (1, y, -2) and (3, 0, 1). For what value(s) of y…

A:

Q: ΔEFG, g = 5.1 cm, e = 3.7 cm and ∠F=112°. Find ∠G, to the nearest 10th of a degree.

A:

Q: (a) lim FIX 7²+x-100 22 – 5 (b) ²-3x+7 x+102-4 lim (c) lim 81IH 7² +11 4-2

A:

Q: The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it…

A:

Q: Convert the rectangular coordinates (-2,2√3) to polar form. Let r > 0 and 0 ≤ 0 < 2π. Enter your…

A:

Q: A car starts driving at noon (t = 0) and drives at exactly 50 miles per hour until 4pm (t = 4).

A:

Q: How far is the point (10,9,9) from the z-axis?

A:

Q: Evaluate Əw at (u,v) = (1,2) for the function w(x,y)=xy-y²; x = u-v, y = uv. ди OA. -1 B. 3 O C. 1…

A:

Q: Define f(0,0) in a way that extends f to be continuous at the orig 15x²-x²y² +15y² 2 x² + y² f(x,y)…

A:

Q: Upload a picture of your full solution in one file and attach it to this question. Determine the…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Find the limit. lim (x,y) → - (49-49) 2 2 x+y#49 x+y-49 √x+y-7

A:

Q: Let f(x)=√√9x-5, g(x)=x²-49, and h(x): (fh)(x) 1 X-7 Fi

A:

Q: Q3// The curves y = ax² + bx+c and y = cx-x² have a common tangent line at the pint (1.0), Find a,…

A:

Q: In Exercises 23-28, sketch the enclosed region and use the Shell Method to calculate the volume of…

A:

Q: Find of/ox and af/ay. f(x,y)=3x3 Зу ?x af ду 11

A:

Q: n open rectangular box with a volume of 12m^3 has a length that is 5 times the width. Express the…

A:

Q: You are climbing a mountain by the steepest route at a slope of 30° when you come upon a trail…

A:

Q: Determine the Cartesian equation of each of the following planes: a. through the point P(0, 1, −2),…

A: Solving the problem

Q: (3) Find the point where the tangent line is horizontal, if any. f(x)=2x³√4-x²

A:

Q: |D|=48 60° a

A:

Q: S dx (x-1)(x-6) || -ln |x-1| - ln |x − 6| 5 +C

A:

Q: JS (2² (x²z+y²2) dS, where S is the top half of the sphere x² + y² +2²= 4. 16 Evaluate

A:

Q: 2. C. b. Let (t)= and (u) = At what point P do these two space curves intersect. a. Find the tangent…

A: As per rule I need to solve only first three subparts.

Q: a. Find the Jacobian of the transformation x = 2u, y = uv and sketch the region G: 2≤2u≤4, 1≤ uv≤ 2,…

A:

Q: h³ - 27 lim h-3 h-3

A:

Q: Question 4 a. Let f(x,y) = x² + 2x + 2xy + y² Find f(1, 2) and f(0,0)

A: Note:-Since you asked multiple question, according to our policy we can solve only first question…

Q: A 5-kg quantity of radioactive isotope decays to 3 kg after 18 years. Find the decay constant of the…

A:

Q: EVALUATE THE FOLLOWING LIMIT @lim x²-x-6 X-3 x-3

A:

Q: For what values of x does the series converge conditionally? Σ n=1 (x+10) √n

A:

Q: Write an iterated integral for da over the region R R described to the right using a. vertical…

A:

Q: f(x) = X 2 (1 +4x) www

A:

Q: lim x-3 x²2x-3 3-x

A:

Q: Integrate the function f over the given region. 1 f(x,y) = over the square 3 ≤x≤6, 3≤y≤6 xy

A: over the square     taking x as constant

Q: What is the 7th term of the sequence e a₁ = (-1)³¹ (n-10),

A: 7th terms of the sequence so putting n=7

Q: A bank pays interest at a rate of 7%. What is the yearly multiplier if interest is compounded (a)…

A:

Q: 1-x² Find lim 18² 8x² + 5° X f(x) 10 100 1000

A: To determine the limit.