The graph shows the velocity v(t) of an object. 4 3 2 1 0 1 O 13.5 O 14.5 O 15 2 3 O 15.5 4 V(t) 5 6 7 Calculate the object's displacement between [2, 8]. 8 00 9 10

Q: e) Plane that is parallel to the xy-plane that contains the point A(2, 1, 3) (ca

A:

Q: Find the limits. (a) lim -t 10 t-x 5 + e-t (b) lim 1-2et t-∞ 1 + 3et (c) lim

A:

Q: 4. A translation service has 74 employees. There are 45 employees who speak French and 22 employees…

A: Let A be the set of employees speaking French and B is the set of employees speaking Mandarin…

Q: How is the product of a complex number and a real number represented on the coordinate plane? When 6…

A:

Q: if f(x)= xe^x, determine f^(400) (x)

A: To determine the 400th derivative of the function f(x) = xe^x, we can follow a systematic approach…

Q: Assume that F(x,y,z(x,y)) = 0 implicitly defines z as a differentiable function of x and y. The…

A: Assume that  implicitly define  as a differentiable function of  and .The partial derivatives of…

Q: 6. Find the limit or explain why it does not exist (and if it is too). √16x4+7x 8x² +5 (i) lim 818

A:

Q: 10. The position of an object moving in a straight line is given by: S(t) = -2t³ + 5t² - 10t +20 (S…

A:

Q: 4. Express PQ-RQ+SR-PS+RS as a single vector.

A: Expression

Q: Use the trigonometric substitution x = 2 tan(0) to evaluate the integral I ਪੰਜਾ dr.

A:

Q: The value of g 28 is -2.269. True False

A: The expression given is,

Q: Find the linearization L(x,y,z) of the function f(x,y,z)=√x² + y² +z at the points (5,0,0), (5,3,0),…

A:

Q: Find the linearizations L(x,y,z) of the function f(x,y,z) = 6xy + yz + 7xz at (1,1,1), (1,0,0), and…

A:

Q: u = 5i + 7j v=-2i - 11j Find: -5u + 2v

A:

Q: Convert the rectangular coordinates of each point to polar coordinates. Use degrees for 0. 5. (√3,3)…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: practice question - 11.32 Gwanda has the following equation for a sphere: (x^2) + (y^2) +(z^2) -…

A:

Q: 32. a) Determine the vector equation of the line of intersection of these 2 planes: 1 x-y+z=-3 (2)…

A: a) Two equations of plane,we have to find the vector equation of the line of intersection of the two…

Q: Points 2₁ and 2₂ are shown on the graph. 5 2 -9-8-7-6 -5 -4 -3 -2 -1 -1 -2 -5 -7 Imaginary Axis 21…

A:

Q: 27. S cos5 x sin³ x dx

A:

Q: Suppose Find: (a) (fg)'(5) (b) (f/g)'(5) = (c) (g/f)'(5) = = f(5) = 5 g(5) = 8 f'(5) = 3 g'(5) = 4

A:

Q: (iii) Consider the function C(Q₁, Q₂)=Q-30102+Q2. What level of Q₁ and Q₂ locally minimise this…

A: According to our guidelines , we can answer only first question (due to multiple questions). Kindly…

Q: g(2,1, 2) dV over solid B. B = {(x, y, z) | 1² ≤ x² + y² ≤ 5², x ≥ 0, y ≥ 0,3 ≤ z ≤ 7} and g(x, y,…

A:

Q: 1) (-1)"(4x + 1)″ For what values of x does the series converge? n=0 a) Find the radius and interval…

A: 1) Σ  Σ(-1)^n(4x+1)^n where n→ 0 to ∞For what values of x does the series converge?a) Find the…

Q: for what value of the number k does the function f(x)= (1+kx+x^2)e^x have f'(0) =3

A:

Q: Which of the following equations represents an ellipse with x-intercepts +2 and y-intercepts ±3? O 3…

A:

Q: Find all the second-order partial derivatives of the function f(x,y) = 3x + 1y+2: 2²f 11 ах'…

A:

Q: Consider the following piecewise defined function ae*-b, x < 0 ax² +b, 0≤x≤2 a(x − 3)³ + b(x − 4) +…

A:

Q: For what value of b does the limit b = exist? What is the value of the limit? b = b b b = = lim x→→2…

A: Limx--2(6x3+5x2-12x+b)/(x2+x-2) Find the value of b and the limit.

Q: Find the directional derivative of the function at the point P in the direction of the point Q. f(x,…

A:

Q: Use the partial-fraction method to solve the following equation. dy dx = (y + 5)(y-10), where y(0) =…

A:

Q: 19. F(x, y, z) = yî + xyz ĵ – 2zx k, where S is the upward-facing paraboloid z = x² + y² lying in…

A: 19) Where, S is the upward-facing paraboloid  lying in cylinder From above curves the radius of the…

Q: you know that a sphere has the equation of  x^2 + y^2 +z^2 -6x +4z =3 are the following points…

A: The equation of sphere is:-Now add 9 and 4 both side:-

Q: X Find the derivative of y = x • xx−1 X. x ln(x) x* (ln(x) + 1) In(x) + 1

A:

Q: 2. Determine the derivative of the function f(x) = 2x² ecos 2x Express you answer in simplified…

A: Given :-  The function To Find :-  The derivative of the given function.

Q: It is determinate because there is only one known force. It is determinate because there are no…

A:

Q: Use integration to find f(3) if df dx = 3x 1/2 and f(1) = 5.

A:

Q: The number of ants in Bob's kitchen increases at a rate that is proportional to the number of ants…

A: Given that,There are 20 ants on day 0, and 60 ants on day 4.And,ants are increases proportional to…

Q: Replace R₂ by (-8)R₁ + R₂. 14-8-7 84 7 8 -5 1 5 2 (-8)R₁ + R₂ = (-8)R₁ + R₂

A:

Q: Consider A ABC, where a = 8, c = 11, and m/C = 33°. What are the measures of the missing angles and…

A:

Q: if f(x) True = False 1 {} if x # 0 if x = 0 2 then_lim ƒ(x) = 0 x 0

A:

Q: We have rewritten the integral as follows. ee³x 2e3x dx We will now try to find some function u =…

A:

Q: A cheesecake has equally sized slices. Each slice is a different flavor. The diameter of the…

A:

Q: Let f(x) = log6x and g(x)=₁*. For all x g(x).

A:

Q: 4. x-6 3 a) Determine the point of intersection of the two lines. b) Determine the acute angle…

A:

Q: Find the vector equation of the plane that contains the parallel lines [x, y, z]= [0,1,3] + [-6,…

A:

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

A:

Q: York Region introduced a program to support the population of deer in its forests. After t years of…

A: York Region introduced a program to support the population of deer in its forest. After t years of…

Q: find the area of a triangle using herons formula. the triangle has lengths of 610.02, 1022.5,…

A: given triangle lengths 610.02, 1022.5, 538.54

Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…

A:

Q: dw Use the Chain Rule to find where w = sin 8x cos 2y, x=, and y=t4. dt dw dt (Type an expression…

A: Using to chain rule :