1) Given the graph of f(x), determine the following, if it exists. (a) lim f(x) I+I (c) limf(x) x-1 co N O N (b) lim f(x) (d) lim f(x) x-0

Q: Use basic identities to simplify sin³ x + cos² x sin c. Enclose arguments of functions in…

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Q: Find the logarithm. 1 log 4 256

A: The given logarithmic expression. log41256 As we know from the logarithmic rule: logaab=b The…

Q: Use the variation of parameters to solve the following equation: d^2y/dx^2- 3 (dy/dx)+2y=cos⁡(e^-x)

A: I am attaching image so that you understand each and every step.

Q: Express In(z) in the form a + ib. (Simplify your z = -ei In(z) n = 0, 11, 12,..

A: Given complex number  z=-ei

Q: Write an equation of the line that passes through (-5,1) and is parallel to the line defined by…

A: The line passes through -5,1 and parallel to the line defined by 5x+y=2

Q: 04: (chose one only) (3-x x2 a) Find lim, 2+ f(x), lim,-2-f(x) andf (2). b) Dose lim, 2 f(x) exist,…

A: 1. According to question,Given function,fx = 3-xx<22x=2x2x>2

Q: A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 40…

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Q: Repeated Linear Factors: Examples x³ -x +3 dx (2x+ + 40x³ +300x²+1000x+1250)

A: The integration of the integral is (x3-x+3)/(2x4+40x3+300x2+1000x+1250).

Q: 24 १. शुक dx +3

A: The given integral is: I=∫x4x5+33dx    ...1 As we know the Power Rule: ∫xndx=xn+1n+1+C

Q: A = 2 Then: .For the following matrix and [1 -31 21-3³1 = [² 31 B = L6 L4 0 3 -1 c=1³₁ 11 C (A.B) +…

A: We need to solve matrix problem,

Q: Question 2 Let F(x, y, z)= -2y7 + 2xj. Use Stokes' Theorem to find SF-d7, where C is a circle…

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Q: The plot below represents the function f(x) 8 7 6 5+ 4 3 1 2 3 4 5 2 1 -5 -4 -3 -2 -1 -1 -2+ Solve…

A: Given the graph of function f(x) is

Q: Express In(z) in the form a + ib. (Simplify your answer completely.) z = -5 + 5/ In(z) = n = 0, ±1,…

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Q: 4- Prove that (a) (b) Ax B|2 = |A|²|B|² - (A.B)² (A x B) (Cx D) = (A C) (BD) - (AD) (B C)

A: Answer is in step 2.

Q: 12. What is the width in kilometers of a single time zone at a latitude of 40 degrees? (Note: At 1…

A: . What is the width in kilometers of a single time zone at a latitude of 40 degrees? (Note: At 1…

Q: The value of V(-25) is * О -5i 4i 5i оооо О -4

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The production costs per week for producing xx widgets is given by, C(x) = 500+350x-0.09x² 0≤x≤1000…

A: Please follow the next step.

Q: 2/ Reversing the order of integration fxsinydydx.

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Q: 13. Evaluate the triple integral: In y (z) dzdydx y2

A: Given :∫12∫1x∫y2lnyz dz dy dx=I

Q: j x+x2+x+2dx **+3x²+2 lax of S x²+1 of (x²+1)(x²+2) 01 +1 -1 of x²+2 (x-1)dx (x²+1)(x²+2)

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Q: Let y = sinx, if y(n) = sin x then n =

A: This question can be solved using the concept of higher order derivatives.

Q: if (1+i)(x+iy) = 2+4i then 5x is : * O 15 O 10 O 5 O 3 Let z be a complex number such that |z| = 4…

A: To find the value of 5x:

Q: State why the function 2z2 - 3z + e-z is analytic everywhere.

A: See the answer below

Q: Find all values of x (if any) where the tangent line to the graph of the function is horizontal. y =…

A: Question 1: When a tangent line is horizontal to the graph of function , that means the slope of…

Q: Area of a circle C. Use definite integration to show that the area enclosed by a circle of radius 1…

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Q: If f(x) = 5x6 - 2x² then [f(x)dx=

A: The given function is: f(x)=5x6-2x4

Q: Construct a truth table to determine whether the statement forms are logically equivalent. Please…

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Q: Find y'. x3 +yở = 8£y

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Q: Find r(t) if r '(t) = 2t i + 4t3 j + √ t k and r(1) = i + j. r(t) =

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Q: Use the compound-interest formula to find the account balance A, where P is principal, r is interest…

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Q: 1 3. The curved surface of a funnel is generated by revolving the graph of f(x) = x³ + on 12x the…

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Q: = Evaluate the exponential function below from x up to x = 5. ſ((5x¹+2x) (2x³ + 1))dx

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Q: Q#8) Find a suitable Linearization for f(x) = Cx + Dx³ (Don't find C, D)

A: Concept: The Linearization of a function f(x,y) at (a,b) is L(x,y) =…

Q: 3. Find the area of the plane region bounded above by y = 1 -|x-1| and below by the x-axis. y = 1…

A: Here we have to find the area bounded by the given regions.

Q: Evaluating a Double Integral SS -dA where R is the triangle in the xy-plane bounded by the x-axis,…

A: I am attaching image so that you understand each and every step.

Q: You may use a table of Laplace transforms in order to answer the following questions. a) Find L[5]…

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Q: The following identity is not equal to 1-cos(t) [sin(t)]² t [1+cos(t)]

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Q: Question 12 Which of the following sections cannot be obtained from a cone? Select one: O A.…

A: if we cut the cone horizontally we get circle

Q: Use algebra to evaluate the following limits. x-6 a) lim x6 3x² - 12x - 36 x² + 2x² + 7x 4x b) lim…

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Q: Use Figure 1 to evaluate the trigonometric function. B 10 Figure 1 Enter the exact answer. tan B 3

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Q: Can you please write out an explination that shows steps?

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Q: 3. The time in minutes for Sam's phone calls this week is listed below (9, 15, 5, 7, 9, 12, 11, 4)…

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Q: 1.5 1 R₂ 0.5 0 y = 1 x = y³ y =√x x = 1 X 0 0.5 1 R₁ is the region bounded by the curves x = y³ and…

A: Given problem:- R₁ is the region bounded by the curves x = y3 and y = √x   R2 is the region bounded…

Q: Determine the angle between 0 and 2m that is coterminal to 1020⁰. 10 3 5 3 3 3

A: we have to find a angle between 0 to 2π that is coterminal to 1020

Q: 2 Express (5+1)² in polar form = O 3 [cos 67+isin 67] O 13 [cos 70+isin 70] O 3 [cos 70+isin 70] O…

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Q: Prove the identities Then use them to show that a. sinh 2x = 2 sinh x cosh x. b. cosh 2x = cosh²x +…

A: Here we have to use the given identities to prove.

Q: dy Solve the differential equation = x - y. dx

A: follow next step

Q: 1. 3- 2x 2+4x² dx

A: According to the guidelines in case of multiple questions, we are only allowed to solve first…

Q: Use INTEGRATION BY PARTS to solve this integral. Specify all variables. Box the answer. 10 x³…

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Q: Find the area enclosed between the curve y = x², and y = x + 6. Draw a rough sketch to get a picture…

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