Find the devivatives of the following equation b Y= ln (x,4)-x fori CH/2)

Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(5,…

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Q: g(t) = 4T - n, where n is a constant. Suppose we want to evaluate | 9(t) dt. O dt | Va dt + dt - 4 a…

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Q: 4. S Vx(x² + 2) dx

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Q: Find the directional derivative of the function at P in the direction of v. g(x, y) = Vx2 + y2, P(3,…

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Q: _9. Which of the following is equal to fo°dt? A. e C. ex+C D. et +C B. e° +C _10. What should be the…

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Q: Find the area of the region enclosed by y = 4x and z = 6 – y. %3D %D 4 +2 Use horizontal strips to…

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Q: The monthly profit, P(x), of a company is expected to change at the rate of 6,498 P' (x) = 3 (2а —…

A: THE SOLUTION IS GIVEN BELOW

Q: d -e'(t² + 5) at t = 0. dt Find

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Q: Find the Taylor polynomial of degree four for the function f(x) = e at x = 0. The Taylor polynomial…

A: The given function is:…

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Q: Find the solutions of the system of inequalities by graphing: x + y 2

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Q: 1. S v2x – x² dx 1+x2 2. S* dx 1+x3 3. SV1+ v1+x dx 4. Set up only the integral(s) that will compute…

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Q: Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of…

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Q: If f(x) and g(x) are continuous functions, then s Ldx 4. Lf(x)dx Sø(x)dx° g(x) 5. Sdx = In]x| +C and…

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Q: (e) Compute y' if y2 = xe + ye-

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: The following figure shows the graphs of y = f(æ) and y = g(x), together with the %3D indicated…

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Q: Find u · v, u· u, ||v||2, (u · v)v, and u · (3v). u = (4, -3, 5), v = (0, 6, 4) (a) u: V (b) u.u (c)…

A: I am attaching image so that you understand each and every step.

Q: determine the relation x^2 + y^2 = 13. dy/dx in terms of x and y using implicit differentiation.

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Q: Find the derivative f'(x) for the function f(x) = x² + x – 17. - O A. f'(x) = 2x – 16 В. f («) — 2а…

A: Find the derivative of f(x)

Q: Find the gradient of the function at the given point. w = x tan(y + z), (3,9,-5) Vw(3, 9, –5) =

A: For a given vector fx, y, z the gradient vector denoted by ∇f is ∂ ∂ xf∂ ∂ yf∂ ∂ zf So, ∇w=∂ ∂…

Q: Solve by applying "Differential Equation using Substitution Suggested by the Equation"…

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Q: Use the indicated change of variables to evaluate the double integral. (Round your answer to two…

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Q: O x=-1/2, y = -2/3, z = -1/4 O No solution Question 4 False position method is always preferable…

A: First question is not completely visible. So I am doing the rest of the two questions here. In…

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notat r(t) = F(t) +…

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Q: s representation for f(x) 1+ x3 ° find the exact the power series obtained 2.

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Q: Evaluate the following integrals. Show the solution. 1. S(2x -x5 + 7x-3x2- 11) dx 2. S(9y-2 + 6y…

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 4 + 3y + z = 5 Find the normal vector, n,,…

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Q: Find the absolute maximum and absolute minimum of the function f(x) = -2 sin² (x) over the interval…

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Q: Find the solutions of the system of inequalities by graphing: x + y > –1; 2x + y < -3

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

A: Given problem:- Find the domain of the vector-valued function. (Enter your answer using interval…

Q: A balloon leaves the ground 50 ft from an observer, rises at the rate of 8 ft/sec. How fast is the…

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Q: Locate and classify all extrema in the graph. (By classifying the extrema, we mean listing whether…

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Q: 5. In the differential equation (1+3xsin ykdx-x cos ydy = 0, we let the substitution %3D

A: Follow the procedure given below.

Q: Find u · v, u · u, ||v||2, (u · v)v, and u · (3v). u = (3, -2, 5), v = (0, 7, 4) (a) u: v (b) u: u…

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Q: 1. There is no function f(x) such thatS f(x) = f(x) + C. _2. If f(x) and g(x) are continuous…

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Q: Find u · v, u· u, ||v||², (u · v)v, and u · (3v). u = (3, -2, 5), v = (0, 7, 4) (a) u. v (b) u.u (c)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A. Solve the following and show your solution. 1. Use the definition of Fibonacci numbers to find…

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Q: Find the value for k so that the function will be continuous at x = 3. %3D - 10x2 - 10x + 120 - 1 1…

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Q: Find the gradient of the function at the given point. Function Point f(x, у, 2) : x2 + y2 + z? (7,…

A: Formula for the directional derivative of the function f(x,y,z) is: ∇f = fxi +fyj +fzk Where…

Q: 5. DETAILS LARCALC11 11.3.007 Find u · v, u · u, ||v||?, (u · v)v, and u u = (2, -2, 5), v = (0, 7,…

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Q: -4x + 5 and g(x) K5. Let f(x) a) Determine an equation for the function 2(x) 3D f(x) + g(x). Then,…

A: Given f(x)=-4x2+5 and g(x)=2x-3h(x)=f(x)+g(x)        =-4x2+5+2x-3…

Q: 9y" + 6y' + y = 0, y(0) = -1, y' (0) = 2.

A: THE SOLUTION IS GIVEN

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: -5 -4 -3 -2 -1 1 2 5 -2 -3+ What is the least possible degree of the polynomial graphed above? 3.

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Q: Find the sum of the series 18 54 2+ 5 +... (if it exists). If the sum 125 - 25 does not exist,…

A: I am attaching image so that you understand each and every step.

Q: is a p-series. ... 27 37 47 57 Select one: O True O False -17

A: The detailed solution is given below Thank you

Q: Evaluate the following integrals. Show the solution. 1. S csc? (7x + 5) dx 2. fx? sec (4x³ + 9) dx…

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Q: rotational. essible.

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