6.

Q: 9. Find the critical values, the interval on which f (x) increasing/decre and the local extrema. 1 1...

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Q: A window is being built and the bottom is a rectangle and the top is a semicircle. If there Is 12 me...

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Q: Given the matrix 0. 4 47 3 -2 1 (a) find its determinant; Your answer is :

A:

Q: ) Consider the following line integral (rdr + ydy + (xz – y)dz) along a curve C given by r = t'i+ 2t...

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Q: Find the fourth derivative of  f(x)=7x+ln(x)−125x.

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Q: The curve with equation y- 4r + 3z is called a Tschirnhausen cubic. Find the equation of the tangent...

A: Slope m of tangent to curve can be found using derivative dy/dx at  given point. Equation of line at...

Q: Use cylindrical coordinates to evaluate the triple integral E Va2 + y? dV, where E is the solic 16 (...

A: use cylindrical coordinates of find the volume

Q: Use implicit differentiation to find and .Assume that the equation defines z as a differentia ôy fun...

A: The given equation is; x4y4z=sin(7x+5y+2z)

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A: Given:- A hazardous material was found to decay at a rate proportional to the amount present. Initia...

Q: A 20 ft ladder leans against a wall. The bottom of the ladder is 5 ft from the wall at time t = 0 an...

A: Let's find. 

Q: Q1 - Find the reduction formula for each of the following integrals iv. I, = S sinh"x dx

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Q: Let C be the curve with parametrization r(t) : ,0 . Find the value of F · dr.

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Q: In some designs of eyeglasses, the surface is "aspheric," meaning that the contour varies slightly f...

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Q: Determine the solution of the differential equation y" + y = sec² а. y = C, cos x + C2 sin x – cos x...

A: The given differential equation is; y" +y'=sec2x

Q: 10- Compute the following estimate of J f(x) dx using 8- the graph in the figure. M(4) 6- 4- 2- 0- 2...

A: Hair we have to use the midpoint rule

Q: gVf – ƒVg (a) Let ƒ and g be two scalar fields and V be the gradient operator. Show that V This is a...

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Q: - Find the reduction formula for each of the following integrals i. In = S cot"x dx, then find I4

A: Use the Trigonometric identities and reduced the integral. 

Q: Use zero- through third-order Taylor series expansions to predict f(3) for f (x) = 25x – 6x² + 7x – ...

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Q: 6. (4D6 + 4D5 – 3D* – 2D³ + D²)y = 0

A: The given differential equation is; (4D6+4D5-3D4-2D3+D2)y=0.

Q: In 2010, a towns population was 50 thousand. By 2015 the population had grown to 58 thousand. a.) Fi...

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Q: If the temperature at the point (x, y, z) is given by T (x, y, 2) = 70 + Se(x² +y}, find the directi...

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Q: 9. (D² – 13D + 12)y = 0 ; y(0) = 1, y'(0) = 11

A: This question is related to differential equation . solve in step 2.

Q: n(X+3)

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Q: 5. On the grid provided, draw the graph of the function g(x), given the following. 5x + 15 10x + 60 ...

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Q: Evaluate the integral |xy dx – z dy + 8z dz where C is the curve with parametric equations x = 2t, y...

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Q: 4.1 State and classify the singularities of z sin z f(e) = cos z - 1'

A: Use definition of singularity find singular points. 

Q: (c) Find the limit of the following function as r →∞ and r → -o∞ 9x* +x 2x4 + 5x² – x +6* h(x) =

A: We will use lim x-> inf 1/x^n=0

Q: 1.2 Describe and give the geometric representation of the following point set of complex numbers

A: Complex number

Q: 3.2 Determine if the following statements are true or false. Give reason for your answer, also makin...

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Q: ) Use L'Hôpital's Rule to compute the limit lim (e* +x)/=.

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Q: ) If C(x) is the cost of producing r units of a commodity, then the average cost per unit is C(x) c(...

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Q: Find the indefinite integral. (Use C for the constant of integration.) 2 de cos(e) – 1

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Q: Find the derivative by one of following two methods: rewrite using f(x) = eln f(æ) or use logarithmi...

A: In this question we have to find differentiation.

Q: QUESTION 4 If y = (sinx), show that %3D (1 – 2) dy dy 2. dr? dr

A: Explanation of the answer is as follows

Q: Find the directions of maximum and minimum change of f at the given point, and the values of the max...

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Q: Find the Solution of the Initial and Boundary Value Problem: 1.) y′′ + 2y′ − 3y = 0 if y(0) = 3, y′...

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Q: The radius of a circular oil slick expands at a rate of 3 m/min. (a) How fast is the area of the oil...

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Q: Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose t...

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Q: -1.5 Use power series operations to find the Taylor series at x 0 for x tanx. - 1. What is the gener...

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Q: y = ln (7x³ + 5)* 4

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Q: If the maximum speed of x is 75km/h when the number of cars in a 12.4 meter wide road is 400. What i...

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Q: Find the first three nonzero terms of the Maclaurin series for the function and the values of x for ...

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Q: 11 y = (3x + 2)"

A: Follow next step

Q: Use the cylindrical shells method to find the volume of the solid obtained by rotating the region bo...

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Q: find radiusand intervatof Convergence fakth fallowing fawer seriari

A: Note : As per our guidelines we are supposed to answer only one question. Since you have asked mult...

Q: $6,000 is invested at a rate of 2% compounded continuously for the first 2 years, then at a rate of ...

A: We will use continuous compound interest formula.

Q: Determine the interval and radius of convergence for E-1) (+1)*

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Q: dy as a function of x. dx Write the function in the form y = f(u) and u = g(x). Then find - 5 7x y =...

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Q: A rocket by SpaceX is designed to have a vertical trajectory according the equation below where s is...

A: topic - quadratic equations

Q: Ho W ý -y =2xe

A: We have to find the solution of the given differential equation  y"-y=2xe-x