Find an equation of the hyperbola with vertices (0, -4), (0, 4) and asymptotes y = ±x. Select one: a. 16 O b. 2 4 - 83 = 1 = 1

Q: Calculate the asymptotes of the following functions provided in the image

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS. THIS IS TRUE OR FALSE

A: 13. False14. False15. TrueExplanation:13. False. A sinusoidal function can be differentiated…

Q: Given the function f(x) = 4x3 sin(x) — 1, has a solution a in the interval (0.7, 0.8) given in…

A: (a)A=41​,B=43​(b)x2​=0.7612x3​=0.7673Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Suppose according to a large research poll in a certain year, 59% of respondents agreed that the…

A: a. To find the probability that a respondent agreed with both statements, we can use the formula for…

Q: Find the equation of the function below. Y 5 3 2 10 TT/2 Π 3п/2 2TT 5TT/2 3TT 71/2 4TT 911/2 5TT -2…

A: Here given that a graph and we find the equation of the function by using  this graph.

Q: Let 60, 61. What is the derivative of the function y = log(x)? 1 -In(x) In(b) b* In(b) 1 In(b) X e*…

A: Option C is the correct option.ln(b)⋅x1​ Below in the explanation part there is detailed solution of…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: If z = 3x² + y² and (x, y) changes from (1, 3) to (1.05, 3.1), compare the values of Az and dz.…

A: ### Summary:- The actual change in z  as (x, y) changes from (1, 3) to (1.05, 3.1) is 0.9175.- The…

Q: Evaluate the integral using integration by parts √(x² + 2r) e³² dr

A:

Q: A home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of…

A:

Q: Calculate all four second-order partial derivatives and check that fxy = fyx. Assume the variables…

A: fxx= -98 sin(7x) cos(2y) fyy = - 8 sin(7x) cos(2y) fxy = - 28 cos(7x) sin(2y) fyx = - 28 cos(7x)…

Q: Q2 Perimeter of a rectangle is 84 inches. Find the dimensions of the rectangle that maximize the…

A:

Q: Question 6 Using the definition of the slope of a tangent line to a curve, find the slope of the…

A: a)f(x) =

Q: Find the solution of the differential equation d² y 3. +4- dx2 dy dx - 4y = 0 a. y= Ae -3x 2x + Be²x…

A: b. y=Ae32x​+Be−2xExplanation:Step 1:Step 2: Step 3: Step 4:

Q: Find the volume of the solid generated when the region enclosed by √√√x, y = 6 — x, and y: 0 is…

A: y =√xy=6-xy=0 revolved about the x-axis

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: 3)Option C is correct answer  4)Option A is correct answer  Explanation:

Q: dy Use implicit differentiation to find without first solving for y. dx x² + y³ = 1

A:

Q: Find f'(x). f(x)=3x-2 Inx 7 f'(x)=

A: (.) The given function is,              we find derivative of given function.

Q: Evaluate the integral √¹²x² tan¹(x)dx Give your answer correct to 2 decimal places in degrees.…

A: Therefore, the value of the integral is approximately 13.75  degreesExplanation:To solve the given…

Q: Find f'(x). f(x)=9x²-3ex

A:

Q: Əz Əz Use the chain rule to find and მs at u z = tan u = 7s + 9t, v = 9s - 7t V Əz II as дг at =

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: b. How would you rewrite each expression if it was an integrand for a trig. integral? Just the first…

A: We have to rewrite each integrand1.    Sin3xcos4x2.     Sin2x3.      Cosec3xcot3x

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: Answer : option (b) 2eExplanation: (7) Given,  f(x)=exx​ We know that,…

Q: 4. Find the area of the region bounded by the graphs of f(x) = x3 + x²-6x and g(x)=2x-x2 A. 20 C. 3…

A:

Q: Suppose for a particular commodity, & = 1.7 and that currently 70,000 units are selling for $16…

A: A 1% increase in price decreases the total revenue by $8,030.40.Explanation:Given:Price per unit =…

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

A: The area of the surface generated by revolving the curve y = \sqrt{49 - x^2} about the x-axis from x…

Q: Find the equation of the tangent plane to the surface z = cos(3x) cos(4y) at the point (2π/2, -3π/2,…

A: To find the equation of the tangent plane to the surface z = cos(3x) cos(4y) at the point ( 2π/2,…

Q: Let y = tan (3x+5). Find the differential dy when x = 1 and dx == 0.2 Find the differential dy when…

A: The answers have been provided.Explanation:

Q: Set 2π 1 +3 up and evaluate the definite integral for the area of the surface generated by revolving…

A: The required answer is 258.85 square units .Please find the attached file for details...Thank…

Q: Please help with this question

A: (A) 3.6 Degrees per hour  (B) 2.184 Degrees per hour Explanation:Step 1:Step 2:

Q: 1. a) The diameter of a balloon, d, is decreasing at the rate of 0.3 cm/s while the height, h, is…

A: The diameter of a balloon, d, is decreasing at the rate of 0.3 cm/s while the height,h, is…

Q: Compound Interest Match each formula for A with the correct name. Match each variable with its…

A: A = P(1+rt) - This formula represents simple interest formula, where:A is the total amount after…

Q: iv. Σ n=1 40n (2n-1)2 (2n+1)2

A: The given series

Q: Compute the characteristic polynomial det (xI - A) of A. Show that landa = 5 is an eigenvalue of A.

A: 1)The characteristics polynomial  is x3−3x2−9x−52) λ=5is an eigen value of matrix AExplanation:

Q: Calculate the derivative of the following function. y = (x²+3x-2) dy dx

A:

Q: Check all of correct statements about differentiable functions. The derivative of the product of two…

A: We have to find the derivative of algebraic operations on two differentiable functions. Let f(x) and…

Q: Let S be the part of the sphere x^2 + y^2 + z^2 = 1 that lies above the conez = sqrt(x^2 + y^2).…

A: The objective of this question is to evaluate the surface integral of the function sqrt(x^2 + y^2)…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: The answers are as follows: 7.The vector equation of the line isr=(7,2)+s(2,−3),s∈R.Option b. is…

Q: A triangular plate with base 1 m and height 3 m is submerged vertically in water so that the tip is…

A:

Q: Please review and solve problem 2 and explain how the answer was found. Problem will be attached to…

A: answer is attached below if you find it helpful please provide the same Explanation:

Q: A manufacturer believes that the cost function 5 C(x) = x²+90x+900 approximates the dollar cost of…

A:

Q: Q1 The price of selling x units of item is p(x) = 56 - x. The total cost of producing a items is…

A: Question No. (1): The price of selling x units of item is . The total cost of producing x items is…

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: Wind chill index is determined by temperature and wind speed. That is W=f(T, v) in deg Fahrenheight.…

A:

Q: For time t = 0, the velocity of a particle moving along the x-axis is given by v(t) = cos(8e-0.2t).…

A: Given that the velocity of a particle moving x-axis is and initial position at

Q: No hand written responses. I need help with a step-by-step breakdown in laymen terms for each part…

A: a.  limt→∞​C(t)=5 b. In the context of this problem, the limit               limt→∞​C(t)=5…

Q: Find an equation of the ellipse with vertices (0, 3), (12, 3) and eccentricity e = Select one: a.…

A: Vertices:eccentricity, e=

Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

A: (A)   The average change in revenue, if production is changed from 1,000 car seats to 1,050 car…

Q: 10. Write the integral needed to find the volume of the solid formed when the graph of the region…

A: Question No. (10): To write the integral needed to find volume of the solid formed when the graph of…