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Q: Solu) du. rg(u) = Using u-substitution, the integral u+1 reduces to a new integral , evaluate the ne...

A: Explanation of the answer is as follows

Q: A vertical wall makes an angle of radian measure źr with the ground. A ladder of length 20 ft is lea...

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Q: Solve the differential equation below: find the value of y and y' at x=2 4y′′+y=6+9+7; at x=π, y=0,...

A: We are given the following differential equation. 4y′′+y=6+9+7; at x=π, y=0, y′=1 Or 4y′′+y=22; at x...

Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region above the x-...

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Q: Use sigma notation to write the Taylor series about z =1, for the function. 3Inr; 10 = 1 Σ

A: Explanation of the answer is as follows

Q: 4. If f is a differentiable function of x and y with w = f(x, y), x = r cos 0 and y = r sin 0, show ...

A: Given, w=f(x,y) x=rcosθ and y=rsinθ

Q: / 5x? tun(3x) dx. If u= 3x³, then the resulting integral is Jf(u) du. Find f Given: 5/2 A 18 B none ...

A: This question can be solved using the concept of substitution as used in integration.

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: Transform the General Form to standard form x² + y? + 6x - 8y + 13 = 0 %3D

A: topic- equation of circle

Q: 5. Find the centroid of the solid formed by revolving the area between the curves: y2 = x and y = 2 ...

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Q: If the solution to e2x sec2(e2x+1)dx is equal to k tan (e2x+1) + C, find the exact value of k. 1 A 2...

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

Q: 9 10 handwritten

A: We have to find the derivative of the given function using the rule of derivative  

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: 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: Situation 1: Find the area bounded by the curve x^2 = y + 2 and the line x + y = 0 1. Using Simpson'...

A:   A=∫-21 (-x-x2+2) dxA=[2x-x22-x33]-21 A=2(1+2)-12+2-13-83 A=112 A=5.5 square units

Q: A loan, amortized over 5 years, is repaid by making payments of $600 at the end of every month. If t...

A: Loan payment formula: P=PMT[1-(1+rn)-ntrn] where,p=principaPMT=payment r=APR t=number of year n=numb...

Q: Find the Maclaurin polynomials of orders n= 0,1, 2, 3, and 4 and then find the nth Maclaurin polynom...

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Q: A businessman ventures to put up a digital printing shop which caters to printing of t-shirts for an...

A: Let the number of t-shirts that will obtain maximum gross return is = 50+x. In this case x t-shirts ...

Q: Use the formula for the binomial series: (1 + x)" = 1+mx+ + 21 = 1+ £in to obtain the Maclaurin seri...

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Q: 0 5 Let A=-8 4 and B= 4 -6 1 -9 .Solve the matrix equation - 2X + 5A = B for X. 77 6 -3 ... X-(Type ...

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Q: Calculate F . dS where F = (4x°z, 4y°z, 3z*) S is the surface of the solid bounded by the hemisphere...

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Q: 3.2 m high and 6.4 m from a wal

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Q: You plan to save money for a down payment of $42,000 to purchase an apartment. You can only afford t...

A: Please see the below picture for detailed solution. 

Q: dx The integral can be re-written as (A) (2-2 V1-m ) lim m- 00 B none of the choices lim (-2+2 /1-m ...

A:

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

A: solution:-f(x)=1x2,     n=4,       c=4f'(x)=-2x3f''(x)=6x4f'''(x)=-24x5f4x=120x6

Q: Let f(x) = 7x2(x – 11) + 12. Find the critical points c that correspond to local minima.

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Q: Find an equation of the tangent line to the graph of the function at a given point. Do not use the l...

A: Slope of the tangent line of the function f(x) is the derivative of the given function . f'(x) = lim...

Q: A point P is moving along the curve y = Vx² + 5. When P reaches the point (2, 3), y is increasing at...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 6 Pa(x) =

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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: 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: ladder 10 ft long rests against a vertical wall, If the bottom of the ladder slides away from the wa...

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Q: True or false? If f' is increasing on the interval (a, b), then f must be concave up on (a, b). True...

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Q: The radius of a right circular cone is increasing at the rate of 6 cm/sec while its altitude is decr...

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Q: x2 dx. Which of the following options is correct? 00 Consider 9+x6 00 Arcsin 9. + lim - Arcsin 3 A l...

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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: (a) Every power series converges somewhere. O True O False

A: ## According to bartleby guidelines we supposed to do the first one of multiple questions kindly rep...

Q: Use the limit comparison test to determine whether the series converges 8. 74 +5 The series Save for...

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Q: Find the radius of the circle x? + y? – 10x + 6y + 26 = 0. С. 4/2 А. 4 В. 6 D. 8 E. NONE OF THESE O ...

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Q: A closed right circular cylindrical tank is to have a capacity of 128??3. Find the dimensions of the...

A: Volume of cylindrical tank is 128π m3.

Q: I = 2т dxdydz Is

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

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Q: Solve the equations: 8х - 2у - 13 -2x +5y- 8.

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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 8 12x +1 dx. (2x- 1) (3x+2) Evaluate: 1 A (2x- 1) (3x+2)? %3D B) In (2x- 1)? (3x+2)| + C (2...

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Q: dx The integral can be re-written as. VI- A lim (-2+ V1- m) m-- 00 B none of the choices lim (2-2 V1...

A: ∫-∞0 dx1-x  

Q: 10" (2n)!

A:

Q: 22 Use a triple integral to find the volume of the given solid. The solid enclosed by the evlinder x...

A: According to question,Given Cylinder and planes,x2 + z2 = 4y = -1y+z = 4

Q: dx The integral k, where u= f(x) and for some constant, k. Compute 2). reduces to ex + 1 A е - 1 B n...

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Q: Let 1, if-3 <x s2 f(x) = %3D 4-x, if 2 < x<4 Without graphing, is f(x) continuous at x 2? Clearly ju...

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