Ex 1. Calculate the derivative i) x² + y² = 1. dy 33 dx for the following: ii) xy= x²+y.

Q: o 3 π/2 31/2 2TT 511/2 The amplitude is¦ 5 3TT 711/2 The midline is ¦

A: To find the amplitude and midline of the following graph.

Q: ƒ¹ ( x ) = {} (x² + x) (x² + x) * (2x + 1), determine a possible f(x). " If fi

A: The objective of the question is to find the function f(x) given its inverse function f inverse (x)…

Q: Please solve this vector calculus problem step by step. Thanks!

A: ANSWER IS GIVEN BELOW.Explanation:

Q: Solve the initial value problem: y'= 0.03y + 3 y(0) = 30 y(t) =

A:

Q: AutoSave of82 d Document Word 9 Chris Nave 3 File Home Insert Draw Design Layout References Mailings…

A: Cobb Douglass formula isP(L,K) = bLαK1-αIn 1920, α=0.20 and b= 1.01.

Q: what does f'(m) = ?

A: We need to provide meaning of f'(m).

Q: Problem #2: Given f(x,y) x784xy2, which of the following vectors points in the direction of steepest…

A:

Q: x e cos(x) dx Se

A:

Q: Please don't provide handwritten solution ....

A: The correct answer is approximately D). 10,232 units. Explanation:The supply function of a commodity…

Q: Suppose that the marginal propensity to save is ds dy = 0.4 1 y + 1 (in billions of dollars) and…

A:

Q: Compute  ∫ 1/√x2-3 dx

A: Answer- I have given step by step hand written solution in the explanation box. Explanation:Step…

Q: pls solve using differential equation

A: The rate at which the flow velocity is changing half-way between the center line and the wall is…

Q: 3. Find the limit, if it exists lim x→0 ex - 1 sin(x)³

A: Need to find out the limit, it it exists.

Q: ion. y (4) + 16y=0 ivlovni saso y s

A:

Q: The graph below is of f'(x) for some function f(x) with domain (-00, 0o) (i.e., the graph of the…

A: Given graph of f'(x)

Q: let F(x)=f(x^7) and G(x)=(f(x))^7  You also know that a^6=12 , f(1a)=3,  f prime of a = 11, f prime…

A: The objective of this question is to find the derivatives of the functions F(x) and G(x) at the…

Q: Suppose that the marginal propensity to consume is dc 0.5 -2y (in billions of dollars) dy and that…

A: Given that the marginal propensity to consume is

Q: The Western community is composed of students, staff, and faculty. Students make up 55% of the…

A: The Western community is composed of  students, staff, and faculty. Students make  up 55% of the…

Q: 6. Consider the curve y = 4x². Determine the equation of the line(s) (in standard form), such that…

A: We need to find an equation of a tangent line that passes through the point given.

Q: n-1 1 series an = 256 4 Find the sum S5 of the first 5 terms of the geometric # a1 (1 - p) = n Use…

A: To find the sum  of the first five terms of the following geometric series.

Q: let f(x) = x^6 (x-7)^7/(x^2+7)^9 find the derivitive

A: The objective of this question is to find the derivative of the function f(x) = (x^6 * (x-7)^7) /…

Q: SOLUTION If f(x)=5x2 - 1 40 In(x), then 1 f'(x)= 10x 40x 1 + [f 1 + [f'(x)]² p>'(x)]² = - ( 1 10x…

A: S(x) = 5x2 + (1/40) ln(x) - 5

Q: lim (√√x22x - x) 81x

A: −1Explanation:If you have any questions please let me know in comment box thankyou.

Q: graph  linear inequality t >0

A: The objective of the question is to graph the linear inequality t > 0. This inequality represents…

Q: Find F(x) = x • In (x) is increasing / decreasing and x-valves of each local minimum (s) and maximum…

A:

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: Please solve this vector calculus surface integral problem by showing all the steps. Thanks!

A: Answer is 128π×z/5 Explanation:Step 1:To compute the surface integral ∫∫_S (x^2z + y^2z) dS over the…

Q: If you borrow $600 for 6 months at 14% annual simple interest, how much must you repay at the end of…

A: Simple Interest Formula:where is the final amount. is the initial amount. is the rate of interest in…

Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y=x^5, y=1…

A: Given that the region is bounded by the curve  ,line  and the y-axis in the first quadrant.

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…

Q: Complete the parametric equations of the line through the points (3,7,-6) and (-5,-2,-8) x(t) = 3-8t…

A:

Q: Compute the following integral problems [10.x³-12.x³-5dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Please solve this old vector calculus problem by shpwing all the steps. Thanks!

A: The value of the double integral:∬D​∣∣∣∣​2​x+y​−x2−y2∣∣∣∣​dA=32−32​​ Explanation: Step 1: To compute…

Q: What is the slope of the normal to y= x-2 * at (2, 0)? x+2

A: Given a rational function.y=x−2x+2To find: slope of the normal to y=x−2x+2 at (2,0)

Q: Approximate the area under the curve by evaluating the function at the left-hand endpoints of the…

A:

Q: x(t) = -8+5t Find a plane containing the point (-4,6,6) and the line y(t) = -1-8t Calculator Check…

A: Given:a plane containing point (-4, 6, 6) and line-To find:Equation of that plane

Q: Use the arc length formula to find the length of the curve y = 54x, -2 ≤ x ≤ 4. Check your answer by…

A:

Q: draw and label diagrams to solve the related rates problem: a traingle has two constant sides of…

A: The objective of this problem is to find the rate at which the area of a triangle is changing given…

Q: 1) Use the second derivative test to classify any critical points and determine whether each…

A:

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

A: The estimated change in area is 515.22 mm2 (rounded to two decimal places).Explanation:We find the…

Q: An investor wants to select one of the six mutual funds for the coming year. Data showing the…

A: a)  Conservative Investor:For a conservative investor, minimizing risk is crucial. Therefore, the…

Q: Use the rectangular approximation with 4 rectangles, using the right endpoint for the height, to…

A: The right Riemann sum∫abf(x)dx≈Δx(f(x1)+f(x2)+f(x3)+⋯+f(xn−1)+f(xn))Δx=b−an

Q: 5. Use the definition of the derivative to find the slope of the tangent line to the curve y = 2x² -…

A: According to the definition of derivative we can write as follows Given Function

Q: Find the exact length of the curve. y4 x-x+1 8 442' 1 ≤ y ≤ 3

A:

Q: THIS IS CALCULUS (integral) in ft and lb please find the work done by the force to stretch the…

A: The objective of this problem is to find the work done by the force to stretch a spring 7 inches…

Q: A rectangle has a length of 7 inches and a width of 8 inches whose sides are changing. The length is…

A: Let the length and width of rectangle be l,bl=7 inches, b=8 inches

Q: pls answer this three question using calculus

A: 1) (10√5 )/32) 14/93) 125/6Explanation:

Q: pls answer these question using differential solution and provide a solution no definition just…

A: The correct options are:1) D2) A3) CExplanation:

Q: A retailer anticipates selling 1,350 units of its product at a uniform rate over the next year. Each…

A: A retailer anticipates selling 1,350 units of its product at a uniform rate over the next year. Each…

Q: 3 3 2 + 5-4-3-2-1 -2- 1 2 3 4 3 Find the components of the vector 4c based on the vector shown. 4c=<…

A: The component form of a vector is given by  V =&lt;x,y&gt; where x is the horizontal distance the…