Find the linear approximation at x = 0 tox Write your answer in the form y = Ax + B. x+(1/(sqrt(7)))

Q: A consumer is maximising her utility function: U(x, y) = (x¹/3+y¹/3) ³, subject to the budget…

A: Give utility function:- Ux,y=x13+y133 Let gx,y=x+3y-100

Q: Let the position vector (with its tail at the origin) of a moving particle be r = r(t) = t²i - 2tj +…

A:

Q: Use the following information to answer questions 8 and 9: Let y=f(x) be a function with its first…

A: Given that,

Q: Evaluate x√√21x² + 21y² dA, where D is the shaded region enclosed by the lemniscate curve ² =…

A:

Q: 5. Find the arc length of the graph of f(x) = (²3)(x − 8)³/² on the interval [8, 16]. (a) 24 +…

A:

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: If the radius of a sphere is increasing at a constant rate of 3 cm/seccm/sec, then the volume is…

A: GivenThe radius of the sphere is increasing at a constant rate of 3cm/sec.   We need to find the…

Q: SECTION Arc Length and Surfaces of Revolution Arc Length and Surfaces of Revolution 1. Identify the…

A:

Q: Find the derivative of f(x) = e^m + m^x. Assume that m is a positive constant. f'(x)=?

A:

Q: Consider the graph of f'(x) given below. At what value(s) of x does f(x) have a local maximum? If…

A:

Q: 13. The function k is given by k(x) = (2x+1)(4x-7). Find the x-coordinate(s) of all critical…

A: Critical points are points where the derivative of the function is 0 or undefined. To find the…

Q: For the series 1 1 1 + + 2 4 8 - - lim — It is clear that 1 + ... + 2" + :

A: Given series is a G.P. series having common ratio 1/2 and firts term 1/2.

Q: Write the equation of the tangent line to the curve at the given point. x2 − 3y2 + 72 = 0 at (6, 6)

A:

Q: Joey already knows that he will have $700,000 when he retires. If he sets up a payout annuity for 16…

A: NOTE: Refresh your page if you can't see any equations. . here given present value is  P=700000…

Q: 1. Determine whether the relation represents a function. If it is a function, state the domain and…

A: Topic- Relation and function A relation is a function if single input does not have different…

Q: esson 5: Defining Equivalent ol Down: Why Are They Equivalen . Write another ratio that is…

A: Given query is to write equivalent ratio to 4:6.

Q: If an arithmetic sequence has terms a5 = 20 and a9 = 44, what is a15

A:

Q: 13 de 13 dentify the definite integral that computes the volume of the solid generated by revolving…

A:

Q: Let's evaluate the following limit: lim (cscx - cotx) H-0 This limit is an indeterminate form of…

A: cscx=1sinx         cotx=cosxsinx

Q: If f(2) = 15 and f '(x) ≥ 1 for 2 ≤ x ≤ 4, how small can f(4) possibly be?

A: Topic = Functions

Q: question 8

A:

Q: Find the following for the vectors u=4i +8j+√3k and v= -4i-8j-√3 k. a. v.u, lvl, and lu b. the…

A:

Q: State the quadrant(s) in which an angle in standard position with measure 8 lies under the given…

A:

Q: Use the sum and difference identities to determine the exact value of the following expression. If…

A: The given trigonometric expression, tanπ8+tanπ81-tanπ8tanπ8 We have to find the value of the…

Q: 9. Determine whether the function is linear, constant, or neither x + 3 OA A) Linear B) Constant C)…

A: Given query is to find the type of the function.

Q: Find the following integral: tan x 1+x²+x4 dx

A:

Q: Find a quadratic function f whose graph matches the one in the figure. -10 f(x) = (Simplify your…

A: Given query is to find the function of the graph.

Q: 11. Use the graph of f given below to find f(8). -10 -10 10

A:

Q: Find dx dx y = secx-7√x + 9

A:

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If…

A: NOTE: Refresh your page if you can't see any equations. . the first real zero is x=-4, therefore the…

Q: Find the point of diminishing returns (x,y) for the given function, where R(x) represents revenue…

A:

Q: 2 Identify the definite integral that represents the arc length of the curve y = 1/x over the…

A:

Q: 6. DETAILS Evaluate the integral. √3 5 75√3 4 5 75√3 4 5 24 A 2-3 Submit Answer =dx

A:

Q: b) Find the function f(x) so that, for x ≥ 0, its arc length in the interval [0, x] is equal to 2x+…

A:

Q: Find the x-coordinates of all critical points of the given function. Determine whether each critical…

A: The given function fx=x2-2x+1. We have to find the critical point of fx.

Q: 6. Rewrite the expression with a positive rational exponent. Simplify, if possible. [4a2b-41/2 a-264…

A: Given query is to simplify the expression.

Q: : lim(1+2x) */

A:

Q: Find a value of c so that y=x²-16x + c has exactly one x-intercept. C= (Type an integer or a…

A: We need to find the value of c for which y=x2-16x+c has exactly one x intercept.

Q: 1092(x²-x-2)=2

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

Q: 5. The definition of the slope of a tangent line is given in our text at the top of page 128. 3…

A:

Q: Write a differential equation that models the given situation. The stated rate of change is with…

A: Given query is to find differential equation.

Q: a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard…

A: we need to find maximum volume.

Q: ad. Data 195 = 200 magnitude of Force "A" = magnitude of Force "B" = magnitude of Force "C" = 260…

A:

Q: Write a differential equation that models the given situation. The stated rate of change is with…

A: Given query is to write the differential equation.

Q: x²e-x² dx #2³ J = Ji

A: Gamma function

Q: For the problem below, is a central angle in a circle of radius r. Find the length of arc s cut off…

A: Given that θ=π4, r=12 inches, are central angle and radius respectively. We need to calculate the…

Q: The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at…

A: Equation of tangent to a curve y=f(x) at a point (a,b) is y-b=f'(a)(x-a)And equation of normal to…

Q: Use integrating factors to solve the differential equation y' + y cos x = e³ e³x-sin x

A:

Q: π The equation below gives the position s= f(t) of a body moving on a coordinate line (s in meters,…

A: The position equation of the body is:s(t)=1-9 sin(t)

Q: -, tanp 5 Given cosa =- = 5 12 and a and ß are not in Quadrant II. Evaluate the following:

A: given  α and β is in are not in 2 quadrant given tan(β)=-512tab(β) negativen in 2 and 4 quadrant…