Given: V5x-3 xdx. If we let u= 5x - 3, which of the following u-substitution formula is applicable? 10 fue. du 10 10 Jua du 10 fuau

Q: For the function , f(x) = 1 -  1 / (x + 2)² , find the following:     i) f(-x) ii) f(x + k)

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Q: A company that manufactures small canoes has a fixed cost of $20,000. It costs $100 to produce each ...

A: Follow the procedure given below.

Q: Explain the relationship between power series and the Laplace transform

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Q: (-1)+16· 13 . 20.(7k – 8) * Use the formula for the binomial series: (1 + x)" = 1+ mx + m(m-1) m(m-1...

A: solution:-1+xm=1+mx+mm-12!x2+ ... mm-1...m-k+1k!xk              1+∑k=1∞ mm-1...m-k+1k!xk         if ...

Q: Write the first five terms of the sequence, give the exact answer: +00 n+ 19 n=1 Determine whether t...

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

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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: Find the nth Maclaurin polynomial for the function. 4x - 1 f(x) n = 4 x + 1 P4(x) = %3D

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Q: Calculate F. dS where F = (e sin Y, cos y, yz?) S is the surface of the box bounded by the planes x ...

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Q: Solve for the Differential Equation m 1. y= -- 7 2. y = Ce-2* + Cze* + 1 3. Ae* + Be-* = Iny

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Q: Angela leased equipment worth $45,000 for 7 years. If the lease rate is 5.50% compounded quarterly, ...

A: This question can be solved by applying the formula of Present value of annuity due.

Q: Determine whether the alternating series converges. 5ln k k=3 O The series diverges. O The series co...

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Q: Find the absolute maximum and minimum of the function f(x,y) = 2x - 8x + y - 8y + 2 on the closed tr...

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Q: The sequence

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Q: Answer this question by showing all work and formulas uses to solve: Determine the equation of the t...

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Q: Use the given integral table to find and evaluate the given integral. Given: ∫ 1/√6x - x2 dx

A: Given ∫16x-x2dx To evaluate the integral:

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: Acceleration of a Car The distance s (in feet) covered by a car t seconds after starting is given by...

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Q: By using chain rule Find dy/dx iff- u=-1, x=-1

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Q: Describe and explain a. continuity of a function at a point. b. continuity of a function on an inter...

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Q: dr 2 +r² dt, 2 L = dz' (dt. dt, x = rcos(0) y = rsen(0).

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Q: A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will res...

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Q: Anika started a fund that would pay out $2,500.00 every month in perpetuity. The fund earns 3.99% co...

A: This question can be solved using the concept of present value of perpetuity.

Q: Evaluate the limit. (Use symbolic notation and fractions where needed. Enter DNE if the limit does n...

A: The given limit,       limx→9ex2-e81x-9

Q: Find the value of c for which the area enclosed by the curves y = c-x and y = x-c is equal to 128. (...

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Q: 2. In each of the following, find fyzz, fæyx, fryz- 2. f(x, y, z) = ln(xyz) + z² tan-1(e"y)

A: Given

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

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Q: Find the derivative of the function. h(t) = (t + 5)2/3(2t? - 1)3 h'(t)

A: We will use following formulas to find h'(t) 1.d/dx(xn)= nxn-1 3.d/dx(uv)=U dv/dx +vdu/dx

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: To find the length of the curve defined by y = 5x° + 8x from the point (-1,-13) to the point (2,56),...

A: Here the curve is given by y=5x3+8x x coordinate of the points (-1,-13) and (2,56) are -1 and 2 resp...

Q: Express the following as the logarithm of a single quantity. log 74 + log 716 Choose the correct ans...

A: The given logarthim expression,   log745+log716

Q: the given point is on a curve find the line that a. tangent and b. normal to the curve at the given ...

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Q: The number of lumens (time rate of flow of light) L from a fluorescent lamp can be approximated by t...

A: QUESTION- The number of lumens (time rate of flow of light)L from a fluorescent lamp can be approxim...

Q: Do the following: (a) Construct the table of values; (b) graph the function; and (c) find the indica...

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: 4. Find the area enclosed by the curve: x=t2 – 2t, y= vt and the y-axis

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Q: R,P1 Solve R2P2 for X1 X2 %3D Choose the correct answer below. O B. R,P2X2 O A. R,P1 Xq = RgP2X2 X1 ...

A: We have to solve

Q: Express the surface area of the surface obtained by rotating the graph of y = 4 sin (x) for Sx as an...

A: To express: The surface area obtained by rotating the graph of y=4sinx for π6≤x≤π3. Concept used: Th...

Q: Solve. p+ - = - 6 %3D

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Q: For following function, select (on the same set of coordinate axes) a graph for c =-3, -5 and-1. f(x...

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Q: Find the orthogonal trajectories of the family of curves y = kx'. = C (C) 3 y³ +x? = C (D) 3 y³ + 3 ...

A: Orthogonal trajectory

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: DA farmer wanted to plant six different crops in a rectangular field. To protect it from animals tha...

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Q: 5x² tan( 3x³) dx. If u= 3x³, then the resulting integral is Jf(u) du. Find . 5/2 A 18 5/2 18 5 18 D ...

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Q: An open box is to be constructed so that the length of the base is 3 times larger than the width of ...

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Q: 8

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Q: Let f(x) = 11x^2 (x - 4) + 1. Find the critical points c that correspond to local minima. (Use symbo...

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Q: To evaluate the possibility of using pyramid-shaped vessel, the rate of change of the dimensions wer...

A: This question can be solved by using rate of change of physical quantities.

Q: I = 2т dxdydz Is

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Q: 2 10 10 dx x5 x5

A: Given, a ∫2x+10x5dx b ∫122x+10x5dx We have to solve for parts (a) and (b).