Question Find the tangential component of acceleration for a moving particle if its position function is · ( (* + 1)² ) i + (²√³)j + ( ² ) k. 2 2 r(t) Provide your answer below: a₁

Q: What value should be multiplied to (y + x³y³) dx + xdy = 0 to make it an exact? 1 (xy) a. b. (x+y)-3…

A: We have to choose the correct option from the given options according to the given information

Q: 1. A single-lane street 10 ft wide goes through a semicircular tunnel with radius 9 ft. How high is…

A: Concept: As we know that the equation of the circle is represented by x2+y2=r2 Here y is represents…

Q: Multivariate Calculus

A: We have to find the region bounded by the curves:x+y=2 ,  x=0 , y=0.Here x+y=2⇒y=2-x⇒y=(2-x)2…

Q: Let f(x) = 5 x - 4 Evaluate the limit: lim f(x) x →4 = 40 x² - 16

A: We can find the limit as below.

Q: The graph of f' is shown. Let f be a differentiable function such that f TT/2 TT/3 TT/6 0 -TT/6…

A: Tangent to a curve y=f(x)  at a point (a,b) is given by y-b=f'(a)(x-a)

Q: Evaluate the limit: lim h→0 Question Help: Video Submit Question (-3+h)²-9 h Jump to Answer

A:

Q: Q5/ A: Solve the following differential equation by Laplace : dy - 4y = 16 t =-6, y(0) = 3 dx² dy dx

A:

Q: 10 07 0 1 0 -5 0 1]

A:

Q: Q2/ A: Find the Fourier Series of the function : f(x) = X + π if - n< X < n and f(x+2n) = f(x)

A:

Q: B: Evaluate the following: 2- 6 I (5.66) 5r (0.66)

A: Given 6Γ5.665Γ0.66

Q: EXAMPLE 4 Find the derivative of the function f(x) = x² - 3x + 5 at the number a. SOLUTION From the…

A: Finding the derivative using the definition

Q: 20. lim 1-1√1 21/2+38-5

A:

Q: Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not…

A:

Q: (b) Find an equation of the tangent line to the curve at P(2,-4). (a) The slope of the curve at…

A:

Q: - given that 2 = 2x + 4y, x = 3 y = 1, and dx dt = 6

A:

Q: Fill in the blank for the following statements (choose FIVE only) 1- The rectangular…

A: all six are solved

Q: Eliminate A and B from the relation y = Ae²+ Bxe²x

A: We are given  y = Ae2x + Bxe2x      y = (A+Bx) e2x     ... @ we have to eliminate A and B from @…

Q: and sketch its graph. Label all criti 1 c) f (x) = xe-*

A: Given problem:- fx=xe-x

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

A:

Q: 3. Consider f(x) defined as follows: f(x) = 5x² + 13x + 6 |x + 2| [4 - 3x] + x, " x-2 Determine if…

A:

Q: 10. Given the graph below is f(x). Draw the graph of the slope f'(x) 5 4- 3 2 1 0 -4-3-2-1,0 1/2 3 4…

A: Solution is here

Q: Show that the function f(x) = |x - 21 is not differentiable at 2. We have The right-hand limit is…

A: To show that the function fx=x-2 is not differentiable at 2.To find a formula for f' and to sketch…

Q: ind a value of h for which 3.0 2.5 h = o in y 2.0 1.5 1.0+ 0.5 f(2+h)-f(2) h 0.5 1.0 Give your…

A: Given Graph:-

Q: A = [-2 3] 1 4

A: Given, A=-2314 AT=-2134

Q: Q5. Find the directional derivative of the function [f(x, y, z) = xy + y.z+z.x] at the point 1-z…

A: The given function is: f(x,y,z)=xy+yz+zxGiven point:  P=1,-1,2The given direction line:…

Q: 2y + [[2-y]] -m √→-2²¯ y² + y -2 lim 2y + [[2-y]] Y→-2+ y² +y-2

A: Topic:- application of limits

Q: 9. y = (1 + x²) Arctan x 10. y = sin(Arccos x)

A:

Q: Let h(x, y) = x5 + y sin² x x² + y² 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is…

A: We can show that the given function is discontinues .

Q: Let k(x, y) = = ex cos(x + 2y). For any (x, y) E dom k, evaluate 2k(x, y) + 4ky(x, y) - kry(x, y) +…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Find the real value(s) of x that verify the equation √x + √(x+2) = 0

A: The given equation: x+x+2=0 To find the real values of x that verify the equation.

Q: Consider f(x) defined as follows: f(x) = 5x² + 13x + 6 |x + 2| [4 - 3x] + x, " x < -2 x ≥ −2…

A:

Q: Decompose 4 x³ + x²

A:

Q: Let g(x, y) = x² + y² x² + 1 (a) Sketch the level curves of g at levels k - 1,2 on a common…

A:

Q: Each of the following differential equations has an integrating factor depending on only one…

A: as per company guidelines we solve only first question when multiple question being posted

Q: Solve the problem. The population P of elephants in a wild animal preserve changes with time (in…

A:

Q: Find the curvature of r(t) = (5t, t², t³) at the point (5, 1, 1). K=

A:

Q: Find the curvature of r(t) = (5t, t², t³) at the point (5, 1, 1). 9842722 K= X

A:

Q: 5. y = log₂ (sin x) 5. y = sec(In x)

A: Topic = Derivative

Q: (2-9x³), find f'(x). Given f(x)= In (2-9x³), f'(x) =

A:

Q: 201 559 You are allowed to use a graphing calculator for #5 Which of the following is an equation of…

A:

Q: x4+5x+6 x-2x4+5x-6 lim

A: The given limit is a divergent and it does not exists

Q: Use the graph of the function f shown to estimate the function value f(-1.5). *** O A. f(-1.5) (Type…

A:

Q: Find the rule of a quadratic function whose graph has the given vertex and passes through the given…

A:

Q: By differentation rules, evaluate the derivative of this and simplify as possible.

A: Given, y=x2+42x

Q: A = -3 -30 25 1. -105

A:

Q: If x(t) denote the position of a body at time, then the velocity of the body at time t is dt True…

A: Topic = Derivative Correct option =True

Q: The graph below is the function f(x) -5-4 2 03 Find lim 24-1- Find lim z→-1+ da 14 Find lim 24-1 23…

A: According to the graph

Q: 6 5 4 3- 2 -6-5-4-3-2-1 1 -2 | || 서 3456 -3- -4 -5 6 1 2 3 4 5 6

A:

Q: Question Evaluate 2x²y³ when x = 1 3 and y 1 4

A: Topic =Algebra

Q: evaluate the determinant, given that a b de c e f h i 9 '|| -6

A: We know that if all element of any row is added to the corresponding element of any other row then…