Find the derivative of the function y = 4x sin '(x) + 4/1 – x². y'

Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue…

A: Topic:- application of derivatives

Q: x dx |-7-8X-x²

A: This question can be solved using the concept of some special integrals.

Q: Evaluate the following integeali S6sinxcosxdx

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Q: Consider f(x,y) =x'+y* +2ry-x+5. Find its critical points and use the second partials test to…

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Q: Let A = (-1,2, 0) and B = (2, – 1, 3). Determine the following: (а) 2A В (b) angle between A and B…

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Q: Solve for æ: 109z - 2 = 710z – 6

A: To solve for x.

Q: y(x) = tan(V3x² + In(5x*)} - In(5x'

A: Given,           yx=tan3x23+ln5x4To find : Find dydx of following functions by using Chain Rule.

Q: Find the equation of the line tangent to the curve f(x) = 2/(x+2) at x=0

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Q: Given a function f(x,y) = x* + 2y + 8xy – 7 The critical points of f(x,y) occur at the points P(0 ,…

A: A point (a,b) is said to be a saddle point of f(x,y) if at (a,b)(fxxfyy)-(fxy)²<0 A point (a,b)…

Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

A: Let the volume of the cone = V cubic feet Given  dVdt=20 cubic feet per minute. We have to find dhdt…

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y2 + z² (4,…

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Q: f2ox²-40x+3 x'- 2x Evaluate.

A: Topic:- integration

Q: Which of the following are equivalent to 5 · log (u-1/6)? Assume u > 0. 1 O log log (u/") 1 log (u")…

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Q: he area of the region enclosed by y = 4 – x and y = -x+ 2 , identify the "a" and | "b".

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Q: Find the interval of convergence of the series. (3x)" 2" n=1 (Use symbolic notation and fractions…

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Q: Find the area under the given curve over the indicated interval. y= 5: (-2, 1] 3-2-10 i 2 The area…

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A: Since you have posted multipart questions i can do first three subparts as per our company…

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Q: - y? = 4x, x = 0 to x = 4 %3D

A: To find the area of the region bounded by the given curves.

Q: 1 is 1+a A power series representation for za+1 for | – z| <1 а. n=0 Ob. Σ 22n for |– a| < 1 Oc. z"…

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Q: 2) Evaluate the following line integral: . 0+z)dx + (x + z)dy + (x + y)dz where C consists of the…

A: C1: (0,0,0) to (1, 0, 1)x-01-0=y-00-0=z-01-0=tx=t, y=0, z=tdx=dt, dy=0, dz=dtI1=∫01[(0+t)+(t+0)]…

Q: 7. The following is Enrico's solution when finding the derivative of f(x) = sin (cos? x)). He has…

A: The given function,   fx=sincos2x

Q: Number Problem The sum of two numbers is twice their difference. The larger number is 6 more than…

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Q: The half-life of caffeine in the body is approximately 5 hours (Brachtel and Richter, 1992). If you…

A: Here, given that the half-life of the caffeine in the body is 5 hours and P0=50 mg. Now, we have:…

Q: 10 Use aepropriate substitution Ond then a trigonometric oubtitution to evaleiate the integial. dx…

A: This question can be solved using the concept of integration by substitution.

Q: Suppose a pollutant is seeping into the ground near a dump site at the rate of 2800 f(t) : (æ +…

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Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue…

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Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the…

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Q: Find the elasticity of demand (E) for the given demand function at the indicated values of p. Is the…

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Q: Determine the interval of convergence of the following power series: (x – 6)" V4n n=1 Answer: Click…

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Q: Find all vertical and horizontal asymptotes of the graph of the function. (Enter your answers as a…

A: We need to find horizontal and vertical asymptotes.

Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

A: The given question has been solved in detail

Q: Evaluat each Integral. For definite integrals, give exa Only, S X (2-5x)*dx dt

A: Topic:- definite integration

Q: The marginal cost of producing the xth box of light bulbs is  7 + x^2/1000      dollars per box.…

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Q: 18. A farmer wants to fence in a rectangular plot of land adja- cent to the north wall of his barn.…

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Q: find: a) in what quadrant does θ lie?, b) what is the value of cos θ? ; and c) find the value of tan…

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Q: Let T3 be the Maclaurin polynomial of f(x) = e*. Use the Error Bound to find the maximum possible…

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Q: Let f(x) = cx3.4 and suppose that f(6) = 48. Find the value of c. (Round your answer to two decimal…

A: Given query is to find the value of c.

Q: Suppose A is the matrix for T: R-R relative to the standard basis. Find the diagonal matrix A' for T…

A: We have to digonal matrix A`

Q: dy by implicit differentiation. dx E. Find 1 ー+ー=2 х у 1 x² +y? = xy 2. 1.

A: the process of finding the derivative of a dependent variable in an implicit function by…

Q: If hyperbola 36x^2 - 49y^2 - 100 = 0 has an eccentricity of e= √85/7, what are the asymptotes and…

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Q: Sind the absolute maximum and the absolute minimum of f(x,y) = 2x – 2xy+y whose domain is the region…

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Q: Use any method to evaluate the integral. 3 x*dx 2 Vx + 25 3 x*dx S- 2 Vx +25

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Q: Let T3 be the Maclaurin polynomial of f(x) = e*. Use the Error Bound to find the maximum possible…

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Q: 5. { xe*dx (1 + x32

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Q: Determine the Taylor polynomial of degree 3 for the solution to the initial value problem 1 y' x + y…

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Q: 2. se integration by pacts to eval integralig x² In (3x)dx niz

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Q: Given a function f(x,y) = x* + 2y+ 8xy - 7 The critical points of f(x,y) occur at the points P(0 ,…

A: Let's find.