Question 1 Estimate the area of the curve y = x from x = O to x = 3 by using 6 rectangles and left end-points, L6. Also, find the exact area A. Answer: (Write your answers in decimal.) Ax = (Write your answer to 4 decimal places.) L6 A =

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A: Given ,  3y=x3+3x2-9x+3. Let y= f(x) Above equation can be written as     y=x33+x2-3x+1     or   f(x...

Q: Ex/ show that f(x) = x+7x + 4 x + 1 has an inverse. %3D

A: In this question we have to find whether the function has an inverse.

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Q: Partial fraction decomposition 1. x^3-2x=A(x-1)(x^2+1)+B(x^2+1)+(Cx+D)(x-1)^2 . If I know that B= -...

A: Given

Q: At (0, 3), the function f (x, y) = 1 – x³ + 6x2 + y2 – 6y has a O a) None of these b) saddle point c...

A: The given data is: At 0,3, the function fx,y=1-x3+6x2+y2-6y.

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A: Given p(x)=-x^2+6x+36    and interval 3<x<9

Q: Solve and check the equation. 6x - 5(x + 5) = 2x-2 Select the correct choice below and, if necessary...

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Q: n! h) E п n3' n=1

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: a) f (x) = 6x5 – 3x? + 9x – n b) h(x) =D + vZx-제

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Q: H.W: Solve-Using D-operator dy dx + dt + 3y – 5x – e-t = 0 dt dau

A: Given: - The differential equation is, dydt+dxdt+3y-5x-e-t=02dxdt+dydt+x+y-3=0 To solve: - The solut...

Q: п d) Σ (-1)" п е n=1 (-1)"*'n² п e) E 2 п +4 n=1 1 Σ- ‚n n=1

A: According to guidelines we can solve only first question. Please submit as separate questions.

Q: 5. If log, x = 0.3 and log, y = 1.24, then %3D the value of log, x°y = %3D

A: logax3y3=logax3+logay3 logax3y3=3logax+3logay using the given data, we have logax3y3=30.3+31.24

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A: Equation of tangent line

Q: 2r -3 (x – 1)²(x² + 1) – x dx = -arctan(x) – 1 - In |x – 1|+ 2(x – 1) 1 + C 2 x -1 -

A: Prove that  ∫2x-x3x-12x2+1dx=-32tan-1x-1x-1-lnx-1+12x-1+cSolution :2x-x3x-12x2+1=Ax-1+Bx-12+Cx+Dx2+1...

Q: f(x + h)- f(x) Find and simplify the difference quotient h#0 for the given function. f(x) = Question...

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Q: Initial value Problem : Find the particular solution given the initial values in explicit form y' = ...

A: Given differential equation, y'=yx+(2x3y)cos(x2)⇒yy'-y2x=2x3cos(x2).....(i)

Q: Find the Taylor series centered at c = -1. 7 f(x): %D Зх — 2

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Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to ...

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Q: 5. Determine whether the function f : R+ → R defined by the rule f (x) = positive real numbers x in ...

A: A function is said to be bijective if the function is both one one and onto. The given function is f...

Q: dz If Z = x' sin(y), x = s²t³ and y = s°t2, %3D ds a) None of these b) 6st³ x² sin(y) – 3s²t²x³ cos(...

A: Given query is to find indicated derivative.

Q: Evaluate the algebraic expression for the given values of the variables. -x - 3xy + 3y°; x= - 1, y= ...

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Q: Consider the following functions. f(x) = x and g(x) = |x| %3D Step 2 of 4: Find (f - g)(-2).

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Q: Activity 3) Calculate mentally using compatible numbers, special factors & properties. Show all work...

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Q: Take p and q are primes and p=3mod4 and q=3mod4. Take n=pq such that an integer z has a square root ...

A: Given that Take р and q are primes and p=3mod4 and q=3mod4. Take n=pq such that an integer z has a s...

Q: 16. Find the volume of the solid formed by revolving the region bounded by the following equations a...

A:

Q: Determine the function f satisfying the given conditions. f'(x) = -3x2 8. -3 f (3)= 8. f (x) = %3D

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Q: A restaurant has an annual demand for 925 bottles of California wine. It costs $3 to store 1 bottle ...

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Q: Select all that apply. Solve for x, 0<x<27 : tan x cos x - tan x = 0 2 TI EIN O O

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Q: The length of an arc of a polar curve r f(0), a s0 sb, is given by the formula: L = Find the length ...

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Q: Factor the trinomial, or state that the trinomial is prime. 2x2 – - 19x + 24 Select the correct choi...

A: This question is based on factorisation of trinomial and percentage.

Q: Determine the function f satisfying the given conditions. f'(x) = -sin(x) f (7/3) %3D = 3.5 f (x) = ...

A:

Q: Expand the function in a power series E a„x" with center c = 0. Find a,x". 7+6x n=0 (Express numbers...

A: Radius of convergence of the power series ∑n=0∞anxn is given by, R=limn→∞anan+1 The series ∑n=0∞1np ...

Q: How do I subtract fraction

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Q: answer a(v)

A: Topic:- complex number

Q: EXERCISE 2 Consider f(x, y) = 3x² – 4y² and U = %3D = cos î + sin r î. Use the Theorem above to find...

A: Here, the given function is: f(x,y)=3x2-4y2 which is differentiable. And, U→=cos 13π i^+sin 13π j^

Q: a in togials Evaluate the tollowing ズ du

A: The given integral,                ∫0π41-uudu

Q: Given: sin A = ! and cos x = - -á; evaluate the following expression. %3D (A: Quadrant I, x : Quadra...

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Q: Determine the equation of the hyperbola using the information given. vertices located at (5, 0), (−5...

A: QUESTION- Determine the equation of the hyperbola using the information given. vertices located at (...

Q: sec x2-1 1

A: Given problem:-

Q: 2 Solve log, (2 sinx) + log,(cosx) =-1, for 2n<x<-

A: According to Bartleby's guidelines. We are allowed to solve only 1 question ata time. Apologies for ...

Q: 5. lim tan r 6. lim cos r 7. lim sinr

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Q: Find the area of the region that lies under the graph off over the given interval. Solve using LIMIT...

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Q: 2.x²y+ 3xy? = 2x + 55

A: We will find the value of dy/dx and the equation of the tangent line at point (5,1) in the following...

Q: Find y' and y''. y = lnx + (7+x^2)^1/2

A: We can find y' and y'' as below

Q: Step 1 of 3: Use the following information to find (f • g)(x). ftx) = (x + 5) and g(x) = x2 - 5 %3D ...

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find all critical points of the following function. 4 f(x,y) = - 8xy + 2x* +2y*

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Q: - 3x 2 + (コメオリ)』 = e Jス

A: Given: - The differential equation is, xdydx+(3x+1)y=e-3x To solve: - The solution of the given equa...

Q: Find the second-degree Taylor polynomial for f(x) = 4x? – 3x + 8 about a = 0. P2(x) = What do you no...

A: Taylor polynomial

Q: Given the series (n!)3 (7п)! n=1 an+1 find the ratio an (Express numbers in exact form. Use symbolic...

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Q: Given: sin A = and cos x = -12; evaluate the following expression. A: Quadrant I, x : Quadrant II.) ...

A: