3 2) a₁ =4, r=-²³/ 4) a₁ = -1, r= 3 6) 7.1 +17.75 +44.375 + 110.9375...,

Q: 4. 2x lim 1-2 x²-4

A: limx→ 22xx2-4

Q: 1. x²-25 lim 1-0 ²-4x-5

A: Topic = Limits

Q: QUESTION 6 For x-3, find f-¹(x) for f(x) = ln(x+3)

A: Disclaimer: “Since you have asked multiple question, we will solve the first question for you. If…

Q: Find the indicated derivative. q² +2 6q — 2 dp dq = dp for p = dq

A: Given :- p=q2+26q-2

Q: Evaluate the integral. π/4 0 (sect tanti+t sin 2t j + sin³ t cos t k) dt

A: The answer is given below:

Q: 1. S 1 (4+x²)² dx

A: Given integral:- ∫14+x22dx

Q: lim h0 lim 3 X x²) x + h) - h √x+h=√x

A:

Q: It's not clear and understandable. Please kindly break it down in steps rather than have everything…

A: I have write each and every step so that it is understandable to you

Q: B. Find the indicated limit if it exists (2x+1 if x <3 if 3 ≤x 1. lim f(x) if f(x) = {10-x

A:

Q: Q1. Using double integral to determine the area of the region bounded by y = 2x² and y = 1 + x².

A:

Q: Find the domain of the function   f(x)= x+6 over x3 + x2 - 9x - 9

A:

Q: For f(x)=square root x and g(x) = x-2 find a. (f.g)(x) b. the domain of f.g

A:

Q: QUESTION 2 1 1 Express as a single logarithm:In([x+ 2]³) + — In(x) − − In([x² + 3x + 2]³²) - 3 2 2…

A: I am attaching image so that you understand each and every step.

Q: Given f(x) = 3x² – 5, use a table to estimate the slope of the tangent line to f at the point P(1,…

A:

Q: 5) The equations r² + y²s + yt² - 13 and y² + x²s + rt² = 9 define s and t as implicit Əs functions…

A:

Q: Q4. A. Evaluate: w = [2 + 2√31]50

A:

Q: If y = (Inx)² + 15, find dy dx

A:

Q: Find dy du and du dx (a) y = u³ and u = x² + 2 dy du du dx dy dx (b) dy du du dx dy dx II 11 || y =…

A: Given, y=u3 and u=x2+2We know…

Q: 17. y = x – 2x3 x = 3 Δx = = dx – 0.001

A:

Q: Find the curvature of the curve r(t) = (e−²t, 2t, 4) at the point (1, 0, 4).

A: Topic = Vector

Q: Let f(xy) = x²-3x

A: Concept: Partial derivative with respect to x fxuv=v∂u∂x-u∂v∂xv2

Q: Solve the following equation correct to one decimal place in the range specified below. 4 sin² I -…

A: The given equation is: 4sin2x-cos2x=8sinx+3 Rewrite the above equation use cos2x=1-sin2x it becomes:…

Q: Find the slope of the second equation. 4x - 9y = -9y = y ])x+ So the slope of the second equation is…

A:

Q: PERIMETER A rectangle has an area of 16m^2. Find a function that models its perimeter P in terms of…

A:

Q: 9. [ DETAILS 10. What is the x-coordinate of any point in the yz-plane? LARSONET5 11.2.012. DETAILS…

A: This question can be solved using the concepts of three dimensional geometry.

Q: x³ - 1 lim x-1 x - 4

A:

Q: For the function y = (x² + 4)(x³ − 9x), at (-3, 0) find the following. (a) the slope of the tangent…

A:

Q: Projectile Motion The range R of a projectile is vz R= (sin 20) 32 where vo is the initial velocity…

A: Need to find out the change in the range.

Q: y = 25x . 32x

A:

Q: Write the equation of the line that passes through the given point and has the given slope. 5 4 (-1,…

A:

Q: x² - 16 1) lim x-4 x +4

A:

Q: ind the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

A:

Q: x = 22t, y = 3t, z = 1+ t; x + 2y - z = 7 -

A: Topic:- algebra

Q: du Q2/ Find əx at (x, y, z)= -1 for u = eab sin-¹q where q = sinx, a = z²lny, b (3)

A:

Q: AREA Find a function that models the area A of a circle in terms of its Circumference C. Really…

A:

Q: Evaluate the limit. 2³ +1 lim 1+1 (x + 1)³

A:

Q: Suppose that ƒ−¹(x) = g(x), ƒ(1) = 0, f'(0) = 2, and f'(1)=5. What is the value of g'(0)?

A: Given f-1x=gx,f1=0,f10=2,f11=5 The objective is to find the value of g10.

Q: Solve the initial value problem with piecewise right hand side where f(x) = = y(x) = y(x) = 7 if 0≤x…

A:

Q: Consider the function f(x) = x² + x and the point (1, 2). (a) Find the slope of the tangent to the…

A: See this solution in below.

Q: 3. Let f(x) = (3x² + 1)2. Find f'(x) in 3 different ways by following the instructions below in…

A:

Q: What does the limit statement lim x46 represent? Select one: O a. f'(6), if ƒ(x) = ln(x+2) O b. 6 O…

A:

Q: Find for y = 6sin²(2x). Əy 3x

A:

Q: Evaluate: w = [2 + 2√31]50

A: Given: w=2+23 i50.

Q: Differentiate. f(x) = ln(csc 5x + cot 5x)

A:

Q: 2. Graph and find the vertical asymptote of the function: x² + 1 3x - 2x² y =

A: Giveny=x2+13x-2x2

Q: 9. Calculate the value of the partial sum for S4 and S5, find a formula for general partial sum Sn,…

A:

Q: Find the buoyant force of a rectangular solid of the given dimensions submerged in water so that the…

A:

Q: 2.1 A curve C has equation y=x²-x², x ≥ 0. Show that the area of the surface generated when the arc…

A: Ans.(2)     Given fumction f(x)= x2       0≤x≤2    Y-axis             Area (s) = 2π∫abR(y)1+(f1y)2dy…

Q: Find a function f such that f'(x) = -5x³ and the line x + y = 0 is tangent to the graph of f. f(x) =

A: Topic- function and its derivative we are given, f'(x)=-5x3 tangent line to the f is x+y=0

Q: Suppose a disease is introduced to a population of fruit flies and the population of flies decreases…

A: