Let x² y -B - x y z 2 -X -x² y ² Calculate the divergence of a vector field V F and rotor V × F. V.F = V x F = F(x, y, z) =

Q: Using the graph of g(x) below, answer the following questions. a) Where is g(x) > 0 ? b) Where is…

A:

Q: A person will travel from camp 1 to camp 2 by first walking parallel to the shoreline some distance…

A:

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: As per bartleby guidelines I solved only 1st question

Q: how do you justify part b?

A:

Q: The region R is bounded by the x-axis and the graphs of 3 2 = 2. A part of R. is shown as the shaded…

A:

Q: K a) Find the simplified form of the difference quotient for the function fx=3x²-5x*4 b) Complete…

A: The given function:  fx=3x2-5x+4

Q: The volume of the solid obtained by rotating the region enclosed by y = x², x = y² about the line x…

A: The volume of the solid obtained by rotating the region enclosed by  y=x2, x=y2 about the line x=-6…

Q: For the function h(x,y)= əh ду || || 3x + 5y 10xy-9¹ ah find and əx əh

A:

Q: lim sin¹ (Inx) x->e

A: We need to evaluate the following limit limx→e sin-1lnx

Q: A conical tank has height 3 m and radius 2 m at the top. Water level is rising at a rate of 2.1…

A: Volume of the cone is defined as 13πr2h To find: dVdt at h = 1.5m

Q: Using the given graph of a curve y = f(x), determine whether each of the derivatives given below are…

A: Given:

Q: 19. Given that f is a differentiable function with f(2, 5) = 6, fr(2,5) = 1, and fy (2, 5) = -1, use…

A: note :-  since you have asked multiple questions but according to bartleby guidelines i only have to…

Q: Radioactive Decay Phospho after t days. (Round your growt

A:

Q: A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the…

A:

Q: II. Use the Primary Limit Theorems to evaluate the following 1. 2. 3. lim (3x - 1) *→/3 X- lim 4 = +…

A: As per our guidelines, we are supposed to answer only one question with a maximum of three subparts…

Q: 28. y" - 2y + y = 4x² - 3 + x ¹e*

A:

Q: Use the Shell Method to compute the volume of a solid obtained by rotating the region enclosed by…

A:

Q: dx 361+x²

A:

Q: 49. e² = xyz

A: Note as per guidelines we support only one question in one request.kindly repost next question in…

Q: Ana and Beverly, produce the same product on identical machines. Ana receives $25 per hour and…

A:

Q: Q5 Vertex Form Fill in the Blank a. y = ax² + bx+c b. The x-coordinate of the vertex. c. The steps…

A:

Q: Find the slope of the tangent line to the curve (a lemniscate) at the point (-3, –1). 2(x² + y²)² =…

A: Given query is to find the slope of the function.

Q: Find by implicit differentiation. dy dx 2₁,312x1² = 10

A:

Q: Date Note Evaluate S √9-x² dx (use Trigonometric substitutions)

A:

Q: a. Find an equation of the tangent line to the curve y = 2x sin x at the point (π/2, π). Answer + b.…

A: Given query is to find equation of the tangent.

Q: (a) Find the tangent line approximation near x=0 to f(x)=(1)/(1-x).

A:

Q: Consider the indefinite integral [3 Then the integrand has partial fractions decomposition a b cx +…

A: Given integral:- ∫5x3+7x2+36x+27x4+9x2dx

Q: Find the radius of convergence and the interval of convergence. x²k+9 Σ(-1)*, (2k + 9)! k=0

A:

Q: Find the area of the region R defined by R {(x,y) : x ≥ −2, 0 ≤ y ≤ e¯¹/3}

A: Here we have to find the area of the region.

Q: csch² In sin x tan x dx

A:

Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

A:

Q: the right triangle shown, explain why v = (π/2) - u. Explain how you can obtain all six cofunction…

A:

Q: 43. One side of a triangle is increasing at a rate of 3 cm/s and a second side is decreasing at a…

A:

Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify (see…

A:

Q: The question screenshot attached down below just need final answers for question 1,2.

A: Here we have to choose the correct option.

Q: Find the slope of the tangent line to the curve defined by 4x7 - 5xy + 6y¹ The slope of the curve at…

A:

Q: lim x-> ₁+ 2x I-xIJ - tanh tanh lái)) (½))

A: According to question,Given limit,limx→1+ 2x1-x-tanh1x-1

Q: Find the exact value of the expression. sin(cos-¹(2) - tan-¹(¹))

A: The given expression is sincos-156-tan-114. We have to find the value of this expression.

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A:

Q: F x _y x2 + 2 ار - ا = x2 + 2

A:

Q: A single card is drawn from a standard 52-card deck. Let D be the event that the card drawn is a…

A:

Q: Find the derivative of the function at Po in the direction of A. 0 f(x,y,z)= -3ex cos (yz),…

A: Solution will be given below   i+3j+2k is written as (1,3,2) [ In the vector form ]

Q: Let R be the region bounded by y = x², x = 1, and y = 0. Use Cylindrical Shells method to find the…

A:

Q: Please provide a clear and complete solution. Answer fast for I have 30 minutes left. Thank you very…

A:

Q: 3. fº 13. dx (a² + x²)³/2¹ a>0

A: Given  ∫0adxa2+x232     Substitute, x=a tan u ⇒u=tan-1xa                 dx=a sec2u du…

Q: c) y= (3x²-5)³√√√√ √√x+1 y=x+√x² + √x²= - -x ✓✓✓✓ d) 2x+ 2x-1 0.² T

A:

Q: Let f(x,y) = 5x²y + 3xy³. Find 22+ 2 ах о = a²fa²fa²f 2' ахду' дуг 2' ах and 22+ дудх

A: we need to find out the partial derivatives.

Q: Consider the function f(x,y) = yey. What is the maximum rate of change of f at the point (0,3)? A. 3…

A:

Q: Let z=x²y, where x(s,t) and y(s,t) are differentiable functions with values Әx Əs x(2,0) = 4, y(2,0)…

A: Given : z = x^2.y

Q: A 4000-lb wrecking ball hangs from a 40-ft cable of density 8 lb/ft attached to a crane. Calculate…

A: We will treat the cable and the wrecking ball separately. Consider a segment of the cable of length…