45. | (5x + x?) dx

Q: Denivate h(x) = JXen(x)

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Q: 6. Exponential Functions 7. Logarithmic Functions 8. Absolute Value Functions 9. (Basic) Sine functi...

A: 6. Exponential functions are always continuous because they are always differentiable and continuity...

Q: tind the component form of the given vector V. belaw Dont forget round off to two decimal places. 55...

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Q: DE MOIVRE'S THEOREM Copy the problems and show your full solutions on your answer sheet. Evaluate th...

A: We know that, DE Moivre's TheoremIf z=(a+bi)Then zn=rcosθ+isinθnThat is zn=rncos(nθ)+isin(nθLetz=(10...

Q: dt

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Q: Hence, the work done is equal to the following. 5/4 W = 20/3x dx

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Q: 6 Convert your original pair of complex numbers to polar form. D= 1-j2 A = 2+j3

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Q: CHECK

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Q: Select the graph of the quadratic function f(x)=x²+2x+2. Identify the axis of symmetry.

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Q: Next que Does the sequence (a,) converge or diverge? Find the limit if the sequence is convergent. a...

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Q: Evaluate the integral. (Hint: u-sub) R/8 S (1+ etan 20) sec² 2x dx O 2e e

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Q: dy using implicit differentiation given that dr 3. Find y² seca – log(r² + y²) = e* + cot(ry).

A: Solution is given below:

Q: Find the difference quotient and simplify your answer. Ax) = x² – x + 1, f(6 + h) – f(6) -, h+0 h f(...

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Q: The requved values tor a qud b tor Ple funston to be contimues at x=

A: Use simple continuity theorem.

Q: 4-VE Find the limit: lim→16 x-16

A: We need to evaluate the following limit limx→164-xx-16

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Q: Absolute maximum value on (0, ) for 8. 12 f(x) = 20 – 3x -

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Q: 1- cos 4x lim - (a) x? X-0 5-x (b) lim x-+5 Jx-1- /2x – 6 3t2 -t-2 lim- 12-1 (c)

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Q: 5. The Detective branch from the Dhaka Metropolitan Police has come to ask you for assistance on det...

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Q: An airplane is flying in still air with an airspeed of 375 miles per hour. The plane is climbing at ...

A: Solved below

Q: Provide an appropriate response. Given that x > 0, find the maximum value, if any, of x-x".

A: Given that x>0. We have to find the maximum value of  x1x5.

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: Let f(x) = 4x^3 − 3x^2 − 18x + 5. (a) Find the critical numbers of f. (b) Find the open interval(s) ...

A: Answer is given below.

Q: Calculate M6 for f(x) = v6x over [3, 6]. (Use decimal notation. Give your answer to two decimal plac...

A: The function isf(x)=6x over [3,6].The number of sub-intervals is n=6.

Q: Question 2 Write a simpler function that agrees with the given function at all but one point. Then f...

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Q: Find the magnitude and the direction of the igiiven.vector lu=(3,-4)

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Q: Apply Gauss-Seidel method to solve the values of the x as given. Continue iterations until two succe...

A: Basic information:  Put: A = x1 ; B = x2 ; C = x3 ------------------------------------------------...

Q: A real estate office handles an apartment complex with 60 units. When the rent per unit is $98 per m...

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Q: Cansider h(x)= Ilx? -6x = l|x? calculate Ha) 6 .x T1 3 (22r – 6) A) In(3)- 11 (22.r – 6)3** - (11z² ...

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Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer ...

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Q: Cons ider The diffevential quation ay? dx +3xy dy =0 with a gs a real constant. If u(x,y) = xyis 4 o...

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Q: ind two vectors in opposite directions that are orthogonal to the vector u. (The answers are not uni...

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Q: Determine the point(s) where the tangent to the curve is horizontal: y = (x2 + 2x + 1)(x2 + 2x + 1)

A: Given problem:- Determine the point(s) where the tangent to the curve is horizontal:   y = (x2 + 2x ...

Q: Find an equation of the tangent line to the curve 2(2² + y?)? = 25(x² – y²) (a lemniscate) at the po...

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Q: | (r – 1)³ + 1, if x 2 1. Determine if g(x) = is differentiable at x = 2.

A: Checking continuity:=limx→2- g(x)=limx→2- (x-1)3+1  limx→2- g(x) =2Right hand side limit=limx→2+ g(x...

Q: 6. Do the following tasks using Mathematica. // sin(9x2 + 4y²)dA , where R is the region in the firs...

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Q: (n!)² ". Show your work. (5) Find the interval of convergence of the power series (2n)!

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A: let the two vectors bev=<a , b , c>w=<-a , -b , -c>Since two vectorrs are in opposite di...

Q: A formula for a function y = f(x) is f(x) = 4x°. Find f(x) and identify the domain and range of f(x)...

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Q: Use Lagrange multipliers to solve the following exercise. Find three positive integers x, y, and z t...

A: To use Lagrange multipliers to solve the following exercise.To find three positive integers x, y, an...

Q: Laura borrowed a total of $25,000 from two different banks to start a business. One bank charged int...

A: Total money borrowed=$25000first bank chaged 5% simple interest.second bank charged 6.5% interest.ti...

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A: Option A

Q: Consider the coordinate vectors 6. (w]s= (als= (B]s %3D %3D %3D 3 4. (a) 8)}. w = (?, ?, ?) (b) Find...

A: Solution: b) S = {x2+1,x2 - 1, 2x - 1} and coordinate of q w. r. to s is  {2,0,4}

Q: (a) Find a power series representation for the following function. (Give f(x) = In(8- z) f(x) = In 8

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Q: Create 1 graph of a function that shows continuous, removable, jump and asymptotic discontinuity (al...

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Q: A piece of wire 28 m long is cut into two pieces. One piece is bent into a square and the other is b...

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