the limits of the following questions. (i) lim 1-2x X-0

Q: Evaluate V = the double integral of (xy)dxdy D is bounded by y=x-1 and y2==2x+6

A:

Q: I. Find the intercepts, the critical points and point of inflection for each of the following…

A: Need to find out the intercepts, critical points and point of inflection, vertical and horizontal…

Q: Use Laplace transforms to solve the initial value problem: y" - 4y = 2e³t, y(0) = 1, y'(0) = −1

A:

Q: radioactive cesium-137 has a wide variety of uses and is commonly used in hospitals for diagnosis…

A: Given let a(t) represent the amount of cesium-137 left, measured in milligrams, after t yearsA(t) =…

Q: At a surface of the ocean, the water pressure is the same as the air pressure above the water, 1.05…

A:

Q: If g(t) = 1t¹ — 9t² – 3 find g(0) gʻ(0) = g''(0) = g'''(0) g (4) (0) g (5) (0) = = =

A: g(t)= t4-9t2-3

Q: 7. Solve the initial value problem as a linear first-order differential equation: xy' + 2y = 2²-1+1,…

A:

Q: if lim f(x, y) = f(0, 0) then (x,y) →(0,0)* f(x, y) is continuous at (0, 0) Ignore "Give your…

A: Given:lim(x,y)→(0,0) f(x, y)=f(0, 0)

Q: Please use a double integral (in polar coordinates) to derive the formula for the area of a circle…

A:

Q: y=tx y=kx base view cross-section The base of a certain solid is the area bounded above by the graph…

A:

Q: Anika and Barry drive go karts, east and south, respectively. Starting from the same place at the…

A:

Q: 1. INSTRUCTIONS: Differentiate the following func- tions (respect to a) using any method. (a) f(x) =…

A:

Q: If a cup of coffee has temperature 96°C in a room where the ambient air temperature is 19°C, then,…

A: Find average temperature of first 20 minutes.

Q: Find the average value of the function over the given interval. x² on [0, 6] f(x) =

A:

Q: Calculate ∂z ∂x , where xez + zey = x + y.

A: Given xez + zey = x + y

Q: 2. Find the time required for an investment to double in value if invested in an account paying 2%…

A:

Q: (a) lim h→0 (b) lim x-0 e cos² h - 1 h 1 + tan x X √1 - tan x

A:

Q: For which of the following values of B, the function f(x) is continuous everywhere? f(x) = 3-√√√x…

A:

Q: 17. g'(z) for g(z)= az a² + x² (2+x)' 18. f'(x) for f(x) = -

A:

Q: Differentiate.   y= 4x3-7x2+15x+3

A: Topic:- application of derivatives        Using If  F(x) = ax^n  F'(x) =an x^(n-1)

Q: 4- Find du &f z=e Zsin (XJ) X=t_y= int.

A:

Q: -1 Find the domain and the range of g(x) = sin-¹(3x + 1). Domain: Range: << ≤ y ≤ <

A: NOTE: Refresh your page if you can't see any equations. . as we know, the range of the sine inverse…

Q: Consider the following function. f(x)= 15x+1 (a) Find the critical numbers of f. (Enter your answers…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Find the slope of the tangent line to the curve - x² − 3xy + y³ = 1 at the point (2, 1). Question…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: Evaluate the following expressions. Your answer must be an angle -T/2 ≤0 ≤ in radians, written as a…

A: Evaluate the following expression  sin-1(sin(-7π4) sin-1(sin(7π6)cos-1(cos(5π4) cos-1(cos(5π3) And…

Q: 2. (5 points each) INSTRUCTIONS: Differentiate the following func- tions (respect to a) using any…

A:

Q: Differentiate the series represented by the function f below term-by-term to find the power series…

A:

Q: Evaluate the double integral D of ysin(xy)dxdy D = [1,2] x [0,pi]

A:

Q: Find the formula for the nth term of the sequence a. 17, 30, 43, 56, 69, 82, ... 1 3 7 11 15 b.…

A: Since you have posted multiple questions, we are supposed to only first three questions. If you want…

Q: A group of friends dinner bill before tax is $72.50. the sales take rate is 6.35%. They want to…

A: Given bill before tax is $72.50 Sales take rate = 6.35%, tip = 20% and both the tax and tip are…

Q: If ƒ(x, y) = x²e³+¹ then Ignore "Give your reasons" below. There is no need to give a reason. Select…

A: Given:     To determine: fx

Q: 5. sin³0 cos-20d0

A:

Q: Find dy/dx.  y=7x

A: Use the basic result of differentiation.

Q: b) The cost structure for iPhones are as follows, fixed cost of $25 and variable cost per unit of…

A: Given:Fixed cost=$25Cost price per unit=$2

Q: 7. Consider a function f(x) which is defined and continuous on the interval 0 ≤ x ≤ 8. Answer the…

A:

Q: 8. Spom INSTRUCTIONS: Find the line tangent to f(x) = sin(ln(x)) at point (1,0)

A:

Q: t²y' + 2ty - y³ = 0

A: To solve the following differential equation.t2y'+2ty-y3=0

Q: Find the equation of the surface in spherical coordinates, given the equation in Cartesian…

A:

Q: Find dy/dx. y=3x7

A:

Q: n writing your final answer, follow the format 2x^5y-3x^3ye^(x)+x^3-2y^2=0. Strictly no spaces…

A: Concept: For the D.E in the form Qdy+Pdx=0 The condition for exact differential equation is…

Q: y=3x² - 2 -2

A: We have to find out

Q: [ sin* .rd.

A: ∫sin3x dx=?

Q: vi viii 22 0 TT cos 4x dx sin6x dx

A: Fonding the integrals,use the reduction formula.

Q: 7. f sinx cos³ xdx

A:

Q: Draw the angle in standard position. State the quadrant in which the angle lies. Work the exercise…

A: Given : 11π6

Q: Find the critical numbers g(x) = |3x - 4| *please use handwriting not typing, I understand it…

A: A critical point is a local maximum if the function changes from increasing to decreasing at that…

Q: 2. f cos³ (20x)dx

A: Given :

Q: Find an equation for the line that is tangent to the curve y=2x3-2x at the point (-1,0).

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

Q: Determine the solution for the following higher-order nonhomogeneous differential equation. Also,…

A:

Q: Find f such that f'(x) = f(x)= 9 √x f(1) = 32.

A: