John Jones just paid $3,202.50 for a lawn mower/tractor. If the percent markup based on cost is 83%, what was the cost?

Q: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x-3y-2= 0 is…

A: We know that if y=f(x) ,and y=g(x) are two curve intersecting at  x=a and x=b  the required volume…

Q: Power series p₁(x) and p2(x) are given below. P₁(x) = 1 + 7x +49x² + 343x³ +2401x² + ... P2(x) = 1 +…

A: Here, to find the series notations of p1(x)+p2(x)

Q: In how many ways can 8 campers sit around a campfire? 5,040 5,760 40,320

A: No of ways n people can sit around a circle = (n-1) !

Q: . y = x2 and x2 = y

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y =…

A:

Q: cost, y = sint, at the point where t 0 ≤t≤ 2π -O?! =

A:

Q: 3.) Find the directional derivate of f(x, y) = tan¹ (3xy) at the point (1,2) in the direction of…

A: We have to find  directional derivative

Q: Q9: The Law of Sines ( a) Given: B = 10° C = 135° c = 45 Find: A-? a-? b-?

A:

Q: 6. Find the limit, if it exists. If the limit does not exist, explain why. tan 5x sin 6x (a) lim 20…

A:

Q: Evaluate the spherical coordinate integral. 1- cos 2 2π π SS S p²sin & dp do de 00 0

A:

Q: Consider the function Step 1 of 3: Find lim f(x). x--6- f(x) = x²2 + 12x + 22 19x + 100 if x < -6 if…

A: Given.

Q: Solve the following first order differential equations, clearly showing all calculation steps dy…

A: Given that differential equations and we find the solution of this differential equations by using…

Q: 3. Evaluate sin5 xdx

A:

Q: et the vector v have an initial point at (-6, -2) and a terminal point at (-6, 2). etermine the…

A: Finding the vector V

Q: Find the points on the cardioid r = sin(2θ) where the tangent line is horizontal. Draw.

A: We have to draw the cardioid r=sin(2 theta)  And find the point where the tangent line is…

Q: T -2 -1 4 3 2 - -3 1 3. From the above graph of y = f(x), find the following limits: (a) lim f(x) =…

A: (a)  limx→-4f(x)=2   (b)  limx→-3f(x)=-2   (c)  limx→-2f(x)=-3   (d)  limx→1f(x)=infinite

Q: Q1/ The volume generated by rotating the region bounded by the given curves y = √x + 1 + 2, y = 2x,…

A: Concept: The disk method: The volume of the solid created by rotating the region enclosed by the…

Q: Differentiate and simplify this function f (x) = x^2/3 sin(x)

A:

Q: wait so which option is the correct answer?

A: Solution:

Q: Use half angle formulas to fill in the blanks in the identity below: 1 (sin(8x)) = 1 COS |x)+cos((…

A: topic- trigonometric identities

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. 3 X 1 1 /=…

A: Given problem:- Find the area of the surface generated when the given curve is revolved about the…

Q: b) Calculate (i) the following integrals x² (3x³ + 2)²dx

A:

Q: Calculate the are bounded by the curves: B. y = ln x and x - y - 4 = 0

A: Here we get help of graph to find the point of intersection of the given curves.  Area bounded by…

Q: 2. Evaluate x sin ædr using integration by parts.

A: Given: I=∫xsinxdx   We know the basic integration formula. ∫sinxdx=-cosx+C∫cosxdx=sinx+C

Q: Step 4 of 4: Find lim f(x). x-3 Enable Zoom/Pan 10 -5 10 Keypac Keyboard Shortc Selecting a radio…

A:

Q: Can the Squeeze Theorem be used to determine lim f(x) when I(x) ≤ f(x) ≤ u(x) on (7,8) U (8,9) and…

A: In this question, we will see the properties of squeeze Theorem.

Q: Let y 5x²8x + 4. If Ax = 0.1 at x = 1, use = differentials to estimate Ay Ay ~

A:

Q: 144° expressed in radians is _____.

A:

Q: The number of tree species S in a given area A in a forest reserve has been modeled by the power…

A: Given, S(A)= 0.882(A)0.842 Differentiation w.r.t A we have, S'(A)= 0.882(A)0.842

Q: (b) Show that the function defined by √₂²+y f(x, y) = 0 if (x, y) = (0,0) is not differentiable at…

A: On solving this we will get

Q: Determine the average rate of change of the function on the given interval.  f(x)= 3x2-4 on [1,2]

A:

Q: xy h) log₂ = Z i) log2 (2/2) =

A:

Q: Define a vector field on the plane as follows: F(x, y) = (x + y², e³ + 6xy). Let C be the square…

A:

Q: Consider the following graph. Step 1 of 2: Determine the intervals on which the function is concave…

A:

Q: Let g(x)= log4 (13-5x). State the domain of g using set or interval notation. . State the range of g…

A: g(x)=log413-5x Given function g is unbounded when 13-5x=0⇒x=135 The equation of the vertical…

Q: 1-2x²=1+x+x²³ 2²-2²-1+2+ -2(-1) (2n + 1)! x²+1 sin x- ---- cos x=(-1). - (2n)! −2+4- 6! tan 'x-…

A:

Q: 5 -5 g(x) dx

A:

Q: + 1 -оу-х -oy=x2

A:

Q: Let f(x) be a function given by f(x) = (a) Prove whether f(x) is a Dirichlet function. (b) Find the…

A: Given

Q: Homework Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule.…

A:

Q: Determine the equation of the hyperbola with center (8, −5), a vertex at (8, −2), and a co-vertex at…

A: The objective is to determine the equation of hyperbola.

Q: Find the linear use it to estimate ln(1.44). L(x) = In(1.44) approximation of f(x) = In x at x = 1…

A:

Q: Find the one-sided limits of f(x). Step 1 of 2: Find lim f(x). x--7 f(x) = -7x-3 -4x² + 4 if x < -7…

A:

Q: hav is that not the function defined by ху f(x, y) √x² + y² if differentiable at (x, y) + (0;0) if…

A: We have to show that f(x,y) is not differentiable at (0,0)

Q: Question 13 Which of the following satisfies the differential equation d² y dx² A. y = e³r B.y=e-3x…

A: Explanation of the answer is as follows

Q: The function of given by f(t) = 10e0.07t models the balance in a bank account, in thousands of…

A: Use exponential growth formula for finding the first two .

Q: Find the transition points. f(x) = x(11-x)1/3 (Use symbolic notation and fractions where needed.…

A:

Q: Given plane z: 3x+2y+z-3=0, point P(1, -2, 3), and lines 1₁:an 4₂: (3, 6,-5)+(2, 3, 1), find: d) the…

A:

Q: Find the particular solution using the initial condition. y' sin(2y) - cos x = 0, y ( ) = 0 O y =…

A:

Q: H.W: Sketch the following functions 1. x² + y² = z + 1 2. x² + y² + 2y + 1+ 2+ z = 0 3. z² = x² -…

A: In these question , we can sketch the given function . Note : As per our Guidelines , we can solve…