Find the dot product of the following vectors u and v. %3D

Q: Find dy/dx for the function. x2 + 8x + y2 – 7y + 1 = 0 dy dx

A:

Q: If xy² – y3 = 5, find y'. y' =

A:

Q: If yex – 6y = 5, find dy/dx. dy dx

A: We have to find the derivative of the given equation.

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A:

Q: Evaluate the integral using the following values. 4 4 4 | x³ dx = 60, х dx 3D 6, dx = 2 2

A: As per bartleby guidelines we can do first 3 subparts

Q: An irigation system uses a straight sprinkler piper 300 t long that pivots around a central point as...

A: We can find the area as below.

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) f(x) = 5x...

A: function  fx=5x2-6x, find the critical points?

Q: A polynomial f (x) and one of its zeros are given. Find all the zeros. 3) f(x) = x* - 6x + &? + 30x ...

A: We have to find roots of polynomial

Q: '5 7 Given f(x) dx : = 12 and f(x) dx = 4, evaluate %D 7. (a) f(x) dx. 0. (b) / f(x) dx. '5 (c) f(x)...

A:

Q: 20. dx 1.

A:

Q: Problem Set A (1) A dietitian wishes to plan a meal around three foods. The percentages of the daily...

A:

Q: Find the sum of the convergent series. n = 0

A:

Q: 5. (sinx + cosy)dxdy

A:

Q: The Cobb-Douglas production function for an automobile manufacturer is f(x, y) = 100x0.6,0.4, where ...

A:

Q: f(x)= x^2-4x g(x)= x^2+3x+8

A:

Q: uppose that the price p, in dollars, and the number of sales, x, of a certain item are related by 4p...

A:

Q: Suppose that f is differentiable on R and f'(x) = e*-4x+3 – 1 for all x E R. Determine all intervals...

A: Find your answer below 

Q: Match the integral expression on the left to an equal expression on the right. Prompts Submitted Ans...

A: As we know that; The trigonometric identities; 1). sinxsiny=12cosx-y-cosx+y 2). sinxcosy=12sinx-y+si...

Q: A particle moves on a coordinate line with acceleration dt? = 60 f - 18 subject to the ds = 8 and s ...

A:

Q: 34. (5 16x³) dx

A:

Q: Evaluate the limit lim (メー3)+an X-ラ 3

A:

Q: Deter mi.ne Particular Jolution y"-2y'+5y-0>y (1)=1,4'(7)•O

A:

Q: 6) For a function f(x) = x³ - 3x2 -1 use the first and second derivative tests to: a) Determine the ...

A:

Q: How does mL=(M+m)D simplify to m=M (D/L - D)?

A:

Q: Evaluate the integral. P(p + 6)°dp P(p + 6)°dp =

A:

Q: 4. S sinºx dx

A: This question can be solved by applying the concepts of integration of trigonometric functions.

Q: i) g(*) = - x3

A:

Q: Calculate the values of the following serics. 4+ 2" a ) Σ b) (-2)" 3n en n=0 n=1 Hint: write it as a...

A: Given: a)∑n=0∞4+2n3nb)∑n=1∞(-2)nen

Q: Find the surface area generated by revolving the length of the arc of r = 1+ cose from o to Tt about...

A:

Q: (-5t -21 (i) Find the domain of f(t). (ii) Find the values of A and B if the function is continuous ...

A:

Q: An airplane flies from City A in a straight line to City B, which is 110 kilometers north and 155 ki...

A: In this question we have to find the distance traveled by the Plane.

Q: E. Complete the table Method A Method B Multiply the expressions Apply then find the derivative of m...

A: a) f(x)=(6x-1)(4x+3)Method Af(x)=24x2+18x-4x-3f(x)=24x2+14x-3Differentiate w.r.t xf'(x)=48x+14Method...

Q: ja2x* +x-a))dx = 24, 3. If find the value of a constant.

A: Here, given that: ∫026(2x2+x-a)dx=24⇒∫02(2x2+x-a)dx=246⇒∫02(2x2+x-a)dx=4...(1)

Q: Detrminc Partiular solurion y?dx + (x*+ 3×y+4y?) ay:0jx=2,y=1

A:

Q: Let f(x, y, z) = xy+ z', x = r+ s- 31, y = 3rt, z = s'. Use the Chain Rule to calculate the partial ...

A: Chain Rule: If f=f(x,y,z), x=g(r,s,t), y=h(r,s,t), z=i(r,s,t) then, ∂f∂r=∂f∂x∂x∂r+∂f∂y∂y∂r+∂z∂r

Q: H.W: Evaluate the integral 3. -4y)dydx x*ydxdy 1 -1

A: ∫xndx=xn+1n+1

Q: Compute the directional derivative in the direction of v at the given point. f(x, y) = exy=y, v = (1...

A:

Q: You have been given the graphs below, which one of them represents f(x,y)=9-x²-y² ? 1) 2) 3) 4) 30 2...

A: Here we have to represent the graph of the given equation f(x,y)=9-x2-y2 ..............................

Q: For the following functions, find: 1. the critical values of the first derivative 2. the intervals w...

A:

Q: the volume of a regular cylinder is increased up to 80%.  by how much percent the radius of the cyli...

A: The volume of a regular cylinder is increased up to 80%.

Q: 3. Find the Laplace transform of the piecewise function 0st<1 1 S(t) = 1st<2 3 -t 2<t< 3 t23

A:

Q: Solve the initial value problem. dr 2 dr dt? 13 dt = 4, r(3)= 1 It%3D3 r(t) =D

A:

Q: Suppose that a particle moves along a line with position function s(t) =2t^2 +3t+1 where s is in met...

A:

Q: Calculate the directional derivative of g(x, y, z) = z? – xy + 2y² in the direction v = (1,–4,6) at ...

A:

Q: Given the function f (x) =V=² +1, z € [0,1] (a) Enter f' (x) x*(x^2+1)^(-1/2) (b) Enter the inverse ...

A:

Q: -1 (11) Find fo g* (2) =? (A) f•g* (2) = f( 2) = undefined; g(2) = 0 (B) f•g° (2) = f('lg2)= undefin...

A:

Q: 25 36. 2.

A:

Q: Find the directional derivative of f(x, y, z) = xy + z at the point P = (2, –6, –-1) in the directio...

A:

Q: Find a function f(x, y, z) such that Vf is the constant vector (4, 8, 2). (Use symbolic notation and...

A:

Q: Directions: Differentiate the following functions and determine the slopes of the tangent lines at t...

A: Topic = Derivative