Solve the following, glving the solutlons In the form ptqvr 6x +15 Rationalise the demoninator of the following, You must show your full working. V11 +v6 VIT-V6 Simplify the following. You must show your full working: V 80 +V20 45

Q: Ariel obtained a business loan of $235,000 at 4.52% compounded semi-annually. a. What was the size o...

A: topic- compound interest

Q: Calculate the amount of money Melanie had to deposit in an investment fund growing at an interest ra...

A:   Calculate the amount of money Cody had to deposit in an investment fund growing at an interest rat...

Q: Within the interval ( -0.92, 1.69 ), for what value of x does f(x) take on a maximum if f(x) = -3 si...

A: solution:-f(x)=-3sin(2.4x)+3.9cos(2.4x),     x∈-0.92, 1.69f'(x)=-32.4cos2.4x-3.92.4sin2.4xfirst deri...

Q: Use the Monotone Convergence Theorem to show that the sequence {an} converges, where too 1 п! An for...

A:

Q: The graphs show the position s, velocity v = ds/dt, and acceleration a = d?s/dt2 of a body moving al...

A: The graphs show the position s, velocity v=dsdt, and acceleration a=d2sdt2 of a body moving along a ...

Q: Using Newton's Method, determine the first approximation to the solution of: e1 x = 2 − 3 x startin...

A:

Q: The sequence

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Q: ne sketch. base 120 130 140 QUESTION 6 Water is scarce in South Africa. The annual average rain fall...

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Q: For what value of x does f(x) take on a minimum if f(x) = V 3 x² -2 What is the minimum value of f(x...

A: Given that fx=3x2-2x+4Solution :if we have to find minimum value of function then f'x=0 and solve . ...

Q: b. Recall that f(x) = 2*-1 - 1. Graph of f,(x) = f(-x) + 2, f2(x) = f(-x+ 1) +1, and fs(x) = fi(x) +...

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Q: B. Prove that the given equation is a solution to the given DE: 1. = C,e3* + Cze2* + Cze* ; y"- 6y" ...

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: ∑k=0∞78k+2

Q: 1. Let (r + 2)², if I 0. (a) Give the r coordinate(s) of the possible point(s) of discontinuity of ...

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Q: Find the polynomial with a leading coefficient of either 1 or - 1 and with smallest possible degree ...

A: Draw a schematic diagram of given graph.  

Q: Question 21 sin 3x Given: dxWhat is the appropriate formula to find the integral? cos2 (3x) (4- 3 se...

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Q: For each problem below: a) Determine the indefinite integral (do not include the "+c" and do not inc...

A: a. ∫4sinx+7cosxdx=4-cosx+7sinx=-4cosx+7sinx

Q: Prove that the following statement is true for all positive integers. 1 1 1 + + 4 8 1 2" – 1 + 2n Pn...

A: Given; Pn : 1/2 + 1/4 +1/8 +...+1/2n =(2n -1)/2n

Q: Let g(x) be the inverse function to the differentiable function f(x). If f(0) : = 1 and f'(0) = 3, f...

A: Given, g(x) is inverse of differentiable function f(x). f(0)=1 f'(0)=3

Q: Center (-4,3) and P (1,-1) Circle Find the General Form

A: Given Center of circle is (-4,3) and p(1,-1).We know that Distance between center(x1,y1) and point o...

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: We find out the Taylor series of e5x at c=0. Follow 2nd step.

Q: 2. Σ E(4x – 8)" n= 1

A: The given power series,        ∑n=1∞2nn4x-8n

Q: uestion 9 x2 dx. Which of the following options is correct? 00 onsider 9+x6 (A Arctan 3 + lim Arctan...

A:

Q: tan (In |4x²|) (In |(2x)^|)|+C. what is b? The integral of -dx is b In cos

A: Given: ∫tanln4x2xdx Integrate the equation we get, Consider, u=ln4x2 du=2xdx Substitute in integral ...

Q: While buying a new car, Benjamin made a down payment of $1,000.00 and agreed to make month-end payme...

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Q: Let F = Use Stokes' Theorem to evaluate F. dī, where C is the triangle with vertices (9,0,0), (0,9,...

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Q: x²+ Consider dx. Using u-substitution and transformation of integrand, then the power formula (x*+ 8...

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Q: is the sequence divergent convergent? {vñ - v n +1}

A: Topic:- sequence and series

Q: - 4 ( 6*) ) dx ( 7 ex - 4 ( 6*) ) dx a) b) Submit Answer Tries 0/8

A:

Q: State whether the following series is Convergent or Divergent. (-1)" Vn +1 n=1

A: Absolutely convergent :If the the mod of the alternating series ∑n=1∞(-1)nan i.e., ∑n=1∞|(-1)nan | =...

Q: Find the slope of the curve y2 + x² = y* – 2x at (-2,1) Find the required derivative by applying the...

A: topic - slope of curve note - As per bartleby guidelines ,we are supposed to answer only first quest...

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: The given series is ∑k=0∞78k+2. We have to check whether the series converges. To check converges we...

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = n = 4, c = 3 Pa(x) = %3!

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Q: An isosceles triangle has an area of 21 cm2, and the angle between the two equal sides is 57/6. Find...

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Q: f(x) = x - 5x^1/5   A) Find all critical values of f  Critical values = ____  B) Use interval no...

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: nt) Detemine coefficients a and b such that p(x) x + ax +b satisfies p(1) = 0 and p(1) = -4. %3D %3D...

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Q: Watch the video on partial fractions decomposition with a repeated quadratic factor before answering...

A: Given,1x2+3x2+221x2+22x2+3=Ax+Bx2+3+Cx+Dx2+2+Ex+Fx2+221x2+22x2+3=(Ax+B)x2+22(x2+3)x2+22+Cx+Dx2+3(x2+...

Q: sec' 20 tan 20 de

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Q: Q4) Prove that 1- Cos +x) = sin x, 2- (sin x +cos x) sec x see' x

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Q: Determine whether the alternating series converges. 51n k (-1 k k=3 O The series diverges. O The ser...

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Q: Question 20 tan (In |4x2|) -dx is b ln Jcos (In |(2x) D[+c.• The integral of What is b?

A: I =∫ tan(ln|4x2|)x dxln|4x2| = t14x2 ddx(4x2) dx = dt8x4x2 dx = dtdxx=dt2Hence, Integral becomes;I=1...

Q: Graph the Parabola. Given: Vertex at (4, -5) and Focus at (4-1)

A: (x-h)2=4p(y-k) , Vertical parabola.Vertex - (h,k)Focus - (h,k+p)

Q: 2. What is the impact propensity? Explain what this means in words. 3. What is the long run multipli...

A: Answer is in step 2.

Q: Question 7 Consider the integral dx . Using u-substitution, what is the appropriate u and du? -2x 2e...

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Q: Part II. Application of the definite integral on plane areas. Situation: For the area bounded by the...

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Q: I = 2т dxdydz Is

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Q: 1g graph, clearly showinng any pointS where the graph crosses the nate axes: + 7x + 10r

A: We will draw the graph. 

Q: (e) Every functionf defined on (-∞, ∞) that satisfies the condition that lim f(x) = lim f(x) = ∞ mus...

A: topic - functions

Q: -to determine if the sequence {ne"} is strictly increasing or strictly decreasing. An an+1 Use the r...

A: 1st we have to find an  then we have to find an+1 . Then by ratio we may find it's increases or decr...

Q: The velocity (in meters/sec) of a particle moving along a straight line is given by v ( t ) =2 t^2 +...

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Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do no...

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