Find the linear approximation for y=sin x at x = 0, and use it to approximate sin(0.3)

Q: (2) For what value of c does y = cx + have a relative minimum at x = 2? (A) ³/ (B) (C) 0 (D) 2

A:

Q: Find the value of Log421 using the graphical representation of y=4x  Check your answer using the…

A: The given expression is

Q: Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are…

A:

Q: Use Newton's method to obtain the third approximation, X2, of the positive fourth root of 5 by…

A:

Q: Ex: f(x) = √22²³3 study f(x) DOMAIN? LIMITS? ASYMPTOTES?

A: The given function is

Q: 1 10 When percent of 5,000 is subtracted from INS BITION 910 5,000, the difference is feels 1 10 of

A:

Q: Evaluate F. dr along each path. (Hint: If F is conservative, the integration may be easier on an…

A: Given the function is To find:-  (a) (b)

Q: Find the maximum rate of change of f(s, t) - test at the point (0,-5). Answer:

A:

Q: f(x) 1 2 2 1 3 3 4 -1 f'(x) g(x) 3 4 -3 -2 -1 1-2 3 12 |-4 -1 0 -3 g'(x)

A: According to latest Bartleby guidelines, we can answer only first three subparts, please post other…

Q: R(r) = 27x² +41x 2x+2 Suppose a company's revenue function (in dollars) is where is the number of…

A: Given data

Q: Can you explain how you calculated the partial derivative with respect to s?

A: The total derivative of function  of two variable  is,

Q: Test the series for convergence or divergence using the Alternating Series Test. 00 (−1)n + 1 Σ √n…

A:

Q: The ordered pair (t, d) gives the displacement d (in centimeters) of an object undergoing simple…

A: It is the distance along the x-axis to complete one cycle.Time required to reach maximum to next…

Q: dz дz Consider the equation 5 sin (x+y) + 4 sin (x + z) + 5 sin (y + z) = 0. Find the values of and…

A: 5sin⁡(x+y)+4sin⁡(x+z)+5sin⁡(y+z)=0

Q: Find the volume of the solid in R³ bounded by y = x², x = y², z = x+y+27, and z = 0. V=

A:

Q: Suppose sin(theta) = 3\5 and theta in quadrant 2. Find the exact value of the following. Solve with…

A: We have given thatsinθ = 3/5 and  lies in 2nd quadrant .

Q: 3. Find the inverse function for f(x) = x-1 3x+1

A:

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Given: Length of wire for electric fencing is 2400m, and one side of plot is bounded by a river.

Q: Given: (x is number of items) Demand function: d(x) 4624 √x Supply function: s(x) = 4√x = Find the…

A:

Q: Consider the differential equation (4D² + 4D + 1)y = xe-x/2 sinx the associated homogeneous equation…

A:

Q: Solve the equations below exactly. Give your answers in radians, and find all possible values for t…

A: to solve the given trigonometric equations for twhere

Q: Use Green's Theorem to evaluate the following integral, S (et² +24y³) dx + (8y5 – 24x³) dy where C…

A: We have to use the green's theorem

Q: 2 sin(x) cos(x) + √3 sin(x) = 0 Find all angles in radians that satisfy the equation. For each…

A:

Q: 5 Evaluate f de using the Fundamental Theorem of Calculus, Part 2. Use exact answers only. Use…

A:

Q: Find a unit vector in the direction of w=-51+12j. Express your answer in terms of i and j, using…

A: To find a unit vector in the direction of

Q: The function f(t)=6900(0.993)^((t)/(12)) represents the change in a quantity over t months. What…

A: The function f(t)=6900(0.993)^((t)/(12)) represents the change in a quantity over t months.

Q: Graph this system of equations to find the area between the curve: 2y=4sqrtx y=3 2y+4x=8

A: To draw the graph of the following system of equations to find thearea between the curve.

Q: Evaluate the surface integral 1 d.S where o is the portion of the plane z = 4 - 6x – 1y in the first…

A: To find  where  is the portion of the plane  in the first octant

Q: Find a general solution of the system x'(t) = Ax(t) for the given matrix A. -96 4-[-] A = - 15 9…

A:

Q: Suppose parametric equations for the line segment between (1,8) and (3, —8) have the form: [x(t) = a…

A:

Q: A. Use the Maclaurin Series with n=4 to approximate cos(2.1) to 4 decimal places. B. Using your…

A:

Q: If f(x) = f t¹ d t then Use '^' to enter exponent for example, x^2 for X -x² Enter an integer or a…

A:

Q: Find dx al dx y=3 log ₂x (Simplify your answer.)

A: Giveny = 3 loga x

Q: Evaluate the integral: 1. √64 x² 14x² x = 64 tan(0) 64 sec (0) x = 8 sec (0) x = 8 sin(0) x = 64…

A:

Q: (b) O Σ -1/2-²0 6 n=1 Sn Sn 10 4 n Sn 7.8749 2 4 5 n 6 X .... 6 8 7.8750 ... 8 10 10 10 X Sn Sn 3-…

A: Given series

Q: 5. [15 pts] Given cos a = -, a in Quadrant III, and sin ß= 1, 3 in Quadrant II. a) Find sin(a+ß). b)…

A: D

Q: 6. ∞ Σ η=1 1 3η – 2n

A:

Q: By trial and error, determine the value of log215

A:

Q: Question A particle moves along a line with a velocity v(t) −3t² + 3t +4, measured in meters per…

A:

Q: and use these to calculate the Jacobian: a(x, y) d(u, v)

A:

Q: Find the area of the region enclosed by the curves y=x² - 6x and y = − x² +6x. The area of the…

A: Consider the curves

Q: Suppose F(3) = 2, F(8)= -19, and F"(x) = f(x). —13, and G'(x) = g(x). Also suppose G(3) =0, G(8) = =…

A: use integration  for finding the values.

Q: But Use analytic methods to find (a) the critical values, (b) the local extrema, (c) the intervals…

A:

Q: (6) A piece of ice cut in the shape of a cube melts uniformly so that its volume decreases at 3…

A:

Q: 7. Find the parametrized equation for the intersection line of the planes 2x+y-z=1 and 4x - y = 3.

A:

Q: The figure shows the position versus time curve for an ant that moves along a narrow vertical pipe,…

A:

Q: (a) Sketch the region enclosed by the parabolas y = 1² - 16 and y-16-r², then find its area.

A:

Q: 10. 8 Στέκε k=1 k 1 + k2

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

Q: Find the antiderivtive: /102³-52² +7 x6 -dx = + C

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Below are rules for four functions. Identify each functions as even, odd, or nei- ther. Press on the…

A: Given: To Find: To identify each functions as even, odd, or neither.