For f(x)=(sqrt x) + 2x , find the equation of the secant line passing through x1=4 and x2=9. Write your answer in slope-intercept form.

Q: If -2 5 [° f(x)dx = [__ * f(x)dx + [_^¸ ƒ(a)dx − [¯* f(x)dx, -8 what are the bounds of integration…

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Q: ) Find the formula for bn given by the recurrence bn+1 = 3bn + 2n, bo = 1

A: As per the guidelines I am answering only first question. i.e. (d) bn+1=3bn+2n, b0=1

Q: CALCULATE THE AREA BETWEEN THE GIVEN FUNCTIONS. DEVELOP THE PROBLEM WITH ALL STEP EXPLAINED AND…

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Q: . Let f be a function of two variables such that and f(2, 1) = 4. af Ət If, in addition, x = r cost…

A: The given gradient of the scalar function fx,y is ∇→fx, y=3x2-3y, -3x+3y2. Also, we have f2,1=4.…

Q: Explain the steps you would take to find the derivative of f(x) = (-)e -3x+tan(3x-5)

A: Given: f(x)=12e-3x2+tan(3x-5)

Q: An oil spill is pouring oil onto a sea in the shape of a circle. The slick is growing at a rate of…

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Q: Q2:A: Find the surface area of the cone y = h -√x² + z² where h is the height of the cone and a is…

A: Concept: The surface area of the cone: The total area that a cone's two surfaces, its circular base…

Q: Determine for the following function: dy dx y = log3 (x² + 1) ○ (z²+1) In 3 2x O (1²+1) 2x O 2x…

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Q: 1. S xdx x²+6x+13

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Q: X √x dx 5-х

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Q: 1-y 2 Consider the plane : x - 2y + 3z - 1 = 0 and the line 1: x= 1. Find the point of intersection…

A: 1) Given: l: x=1−y2=z+1 Let ,  x=1−y2=z+1 = λ Any general point on the line l will be x=λ, y=1-2λ,…

Q: 16x4+9y12 (x,y) (0,0) 4x²+3y6 Show that lim does not exist.

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Q: 11) Find each of the two areas bounded by the curves y=x3-4x and y=x² + 2x Points of intersection:…

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Q: Question 22 Find the polar equation for the Cartesian curve ² 0₁ = cos O p = O O sec @tan 0 1 T=…

A: Please see the below picture for detailed solution.

Q: 2. Use Green's theorem to evaluate fe e-x³ dx + (5x + sin(y²)) dy, where C is the circle x² + y² = 4…

A: Please see the below picture for detailed solution.

Q: Evaluate 1 2. tht Htte tan e(:-+) 2 , у акуся, whve с is the contour given by

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Q: Gr 5 0 -5 5

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Q: 12 Sf x² ydxdy 01 In2 2 11₂ SS 2xe dxdy 0-1 3 1 2xy SS- -dxdy 10x+1 4√x 2 S S x²y dydx 00 11-y S S…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Date 3. Determine if the equation is homogeneous in what degree then solve for the general /…

A: Solution

Q: Given f''(x) = 4x + 5 and f'(-1) = 1 and f(− 1) = - 1. Find f'(x) = and find f(4)

A: Let's find function and it's value.

Q: If y = 3u² + 2u and u = √² +5, fip S da would be: (6√2²+5+2)(√) (6 (3u² +2u) + 2)(√5) ○(3√2²+5+1)(√)…

A: We can find the derivative as below.

Q: A particle is moving with a position function given by s(t) = 6t² - ³ with position in metres and…

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Q: Two fire-lookout stations are 14 miles apart, with station B directly east of station A. Both…

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Q: Suppose that the manufacturing cost of a particular item is approximated by M(x, y) = 6x³ x³y² +…

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Q: [2 2x log 2x dx

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Q: Consider the function f(x) = (4 - 5x)7. Find the second derivative f"

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Q: . For each positive integer n, define an = n² sin +∞ 1. Determine if the sequence {an} converges or…

A: The solution is given below

Q: Which of the following is a type of inequality sign? > ≥ and ≤ < All of the answers are correct.

A: We know that, In mathematics, the relationship between two values that are not equal is defined by…

Q: A particle is moving with a position function given by s(t) = 6t² - in metres and time in seconds.…

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Q: Find the volume of a solid obtained by rotating the region enclosed by the graphs y = 19 - 2x, y =…

A: To find the volume of a solid obtained by rotating the region enclosed by the graphs y=19-2x, y=5,…

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: Question 3 Evaluate O 1. O 1, O In 2 -S₁² ₂ In 2 2 ln 2 O2ln 2 - O2 ln 2-3 3 2 1 2 314 x ln x dx.

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Q: • S X √x²-4 dx

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Q: ₁ = 4-3i and Z₂ = 3 + 4i Use trigonometric forms to find Z₁Z2 and Z1 Z2

A: Topic:- application of complex numbers

Q: 23 14 f(x)dx – ¹ f(x)dx - - where a = = b [ f( and b = f(x) dx

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Q: I. Find the solution set of the following. 1. 2e²x - 3e + 1 = 0 H

A: Given the equation 2e2x - 3ex + 1 = 0 Rewrite it as 2(ex)2 - 3(ex) + 1 = 0 Let ex = y then the…

Q: Find the volume of a solid obtained by rotating the region under the graph of the function x = √y…

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Q: 3. Find the domain of f(x) = 1- 1 X X

A: We have to find the domain of f(x)

Q: π Find the area of the region enclosed by y = sin¯¹(x), y = and the y-axis without using integration…

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Q: 5. Given that f(t) = sint, t=0, t≥π/2 0≤t<π/2 find L{f(t)}.

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Q: Question 16 Determine which of the following power series is equal to the function f(x) = M8 M8 M8…

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Q: Question 12 Find the sum of 6 O 10 05 n=1 O 12 53-2 +1 The series diverges.

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Q: Evaluate using Integration by Parts, substitution, or both if necessary. (Use symbolic notation and…

A: To evaluate the given integral.∫10x35x2+112 dx

Q: ● f sec³(x) dx ● ► f sec¹(x) dx • f sec³(x) dx MTH 32

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Q: Find the absolute maximum and the absolute minimum for the function f(x)=e−x−e−5x,…

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Q: Solve the given initial value problem. y'' - 4y' + 3y = 0; The solution is y(t) = y(0) = - 1 2 y'(0)…

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Q: 5. Prove the identity: cot(A + B) cot(A − B) = - cot² B tan² A tan² A cot² B - 1

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Q: Consider the power series Σ#1 ¹+∞0 n(3x+2)n n=1 n³+4 1. Show that the series is absolutely…

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Q: If z² - 3yz² + xyz -2=0, find Az дz and дх ду

A: The objective is to find the Partial derivatives.

Q: Use partial fractions to find the power series of the function. 130 (x2 + 1)(x2 − 25) ∞ n = 0

A: Use partial fraction to find the power series of the function