2) Find the exact value of sin-¹ (sin 9T 8 .You must show all your work.

Q: Use the particular solution method to solve y - y = 2e²

A: Given that  a first order linear differential equations and we find particular solution of this…

Q: If 3x O -2. O 0. O 4. O 2. O -4. 3 [2x y/t then y =

A:

Q: Problem 2. cos (x) (a) lim x+1 √√x-1

A:

Q: Which table represents a function? A B X y 2 3 -3 0 4-3 2 1 X y 1 2 1 3 1 4 1 5 D X -3 -2 -3 2 J y 0…

A: We have to find out

Q: Write an equation for the polynomial graphed below. You can leave the function in factored form. 4 3…

A:

Q: Find dy by implicit differentiation. dx dx 11 xey = x - y

A:

Q: Find an equation of the plane containing points P(-2, -3,1), Q(-1, 2, -3) and R(1, -2,-4).

A:

Q: 1) The braking distance of a vehicle is defined as the distance travelled from where the brakes are…

A: Given:  s= speed of truck d= braking distance --------------------------------------------------…

Q: Differentiate f(x) = 5 ( − 3xº – 8x³). You do not need to expand your answer. f'(x) = Factor out the…

A: d/dx =nx(n-1) for any real number n

Q: Use the chain rule to find the derivative of 4√/5x+3x6 Type your answer without fractional or…

A:

Q: Find the arc length of y= 2x sqrt(x), from x=0 to x=1

A: Given: y=2xx We need to find the arc length of the above function from x=0 to x=1.

Q: Glorious Gadgets is a retailer of astronomy equipment. They purchase equipment from a supplier and…

A:

Q: 4 [ (2x³ + 5x) dx with n −1 = 10 steps

A: Given question:- Find an upper bound for ET in estimating A 5 B 5/4 C 10 D 64/25

Q: Match the vector field with its graph. F(x,y) - d + 30 트 토 ++ 11/

A:

Q: tan(x) – 4 sec(x) f'(x) = cos(x) + 4 sin(x) If f(x) = f'(-3) = -.43 then: I q X

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) √ 25 e2x 25+ e est dx

A:

Q: K Find the lines that are tangent and normal to the curve at the given point. x²y² = 64, (-1,-8) The…

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A:

Q: Let f(x) = 8x². (a) Find f(x)-f(-2) X+2 (b) Find f(x) = f(a) x-a

A:

Q: how can i find the inverse to a function

A: How to find the inverse to a function

Q: 2. A thermometer reading 18°F is brought into a room, the temperature of which is 70°F. One minute…

A: Concept: The thermometer temperature is represented by T and room temperature by Tm Now at time  t=0…

Q: 7. A carpenter is building a rectangular room with a fixed perimeter of 54 ft. What are the…

A: We need to find out the dimensions of the rectangle whose area is maximum.

Q: Find the absolute minimum and maximum values. f(x)= 2x3+ 3x2-12x-9 over the interval [-3,3]

A:

Q: Find the local quadratic approximation of f(x) = x³ to find the approximation of 1.03³ at xo = 1,…

A:

Q: Sunday - let lim (1x) = -8 and lim glx) = -5. Find lim [-5(1x) -8960) 2-2 x > ² [ 3+ g(x) X42 Do…

A:

Q: If x < 1 (x2 + 1 x - 22 if x 2 1 (a) Find the following limits. (If an answer does not exist, enter…

A: We need to find out the limits.

Q: 1 The graph of y² = x³ is called a semicubal parabola. Determine the constant b so that y=-3x+b…

A:

Q: Write a polynomial with leading coefficient 1, degree 5, zeros at x = i and x = 2 — i, that passes…

A: To write a polynomial with leading coefficient 1, degree 5, zeros at x=i and x=2-i, that passes…

Q: Given f(x, y) = 2e¹* sin(3y) ㅠ then Vƒ(0, ▼ ƒ(0, 7/2) =

A: As we know that ∇f=∂∂xi^+∂∂yj^(f)See below the answer and calculation

Q: Determine the corresponding differential equation for a family of circles with center on the x-axis…

A:

Q: Find dy if y=sin(x) cos(x). dr2

A: To find double derivative of given function

Q: 5x + y ≤ 10 x+y≤6 x≥0, y≥0 Ing system. 100 8 4

A:

Q: Find f. f"(x) = cos(x), f(0) = 3, f'(0) = 6, f"(0) = 4

A:

Q: y = xtane gx² 2v²cos²0 + Yo If 7'1"Shaquille O'Neal is at the free throw line (that is 4 feet from…

A:

Q: Please

A:

Q: (a) lim 2²/ I→∞

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: On what interval(s) is the function g(x) = e -8x both decreasing and concave down? (Enter your…

A:

Q: Find dy dx dx by implicit differentiation. ex cos(y) = x + y

A: We have to find derivative by implicit differentiation.

Q: 8. Δ The series Σ(-1)* =0 k! (a) Converges absolutely (c) Diverges (b) Converges conditionally

A: D'Alembert test: Let us consider a series of real numbers, ∑k=0∞uk such that uk+1uk=l Then if l&lt;1…

Q: 11) find the derivative of the function.

A:

Q: 6. The series 겨 8. (a) Converges absolutely (c) Diverges (b) Converges conditionally

A: To find the convergence of the given series.

Q: Solve each of the following integrals (a) [((1+1)7 + cost]+ kde dt

A:

Q: Using calculus, find the equation of the tangent line to the function f(x) = 3 cos x when = 2.2. The…

A:

Q: Use l'Hôpital's lim X-0 sin (x) - x lim 3 X→0 6x sin (x) - X Rule to find the following limit. 3 6x…

A: Solve the given

Q: A model for the yield Y(N) of an agricultural crop is a function of the nitrogen level N in the…

A: Given query is to find the nitrogen level for maximum yield.

Q: y= у ха т x-1

A: We know, log(a/b)=log(a)-log(b) log(x)=1/x

Q: If f(x) = (3x + 5)¯², find ƒ'(x). Find ƒʼ(2).

A: As we know that: The Chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1   The given function is:…

Q: Convert the polar equation to a rectangular equation. 15 sec 0 5 sec 0 + 1

A: Given query is to convert the equation into rectangular form.

Q: The following problems involve f(x) = 3x¹ − 8x³ - 66x² + 144x + 400 1. Find the relative extrema of…

A:

Q: Use the Comparison Test to determine whether the infinite series is convergent. ni Σ_n² By the…

A: