Consider the shape with vertices (1,3),(4,7),(0,10),(-3,5) translate the rectangle so (1,3) lies on the origin and roate by -45 degrees.

Q: a) Find the 4th derivative of f(x)=√x - 1 in (9

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

Q: Evaluate the following integral. 2x + 5 2 x + 25 X 2x + 5 2 x + 25 dx dx =

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Q: is the triangular region with vertices (0, 0), (3, 0), (0, 2)

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Q: 6. y' = y + 1 +!

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Q: In the equation for the Laplace transform of a periodic function, L {f(t)} = ₁- ²- Sőe¯st f(t) dt,…

A: The Laplace transform of a periodic function:Lft=11-e-sT∫0Te-stft ft

Q: √√√x²-4 S 3 x³ X - dx

A: Given integral:- ∫x2-4x3dx

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 4x³ - 6x² -…

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Q: INTEGRAL CALCULUS (UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY. NO LONG…

A: We will find the required.

Q: - 1. Evaluate the x for parametric equations x = 3t² – 6t a y = 3t³ + 3t with respect to the…

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Q: If the hypotenuse of a right triangle measures 10 meters, and one leg is 2 meters more than the…

A: We need to find out the length of legs.

Q: Find the inverse Laplace transform £¯¹{F(s)} of the given function. 18 F(s) = s² +9 Your answer…

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Q: Consider the following integral. Sketch its region of integration in the xy-plane. 0 LL 9-x² 6xy dy…

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Q: Evaluate the following integral using trigonometric substitution. S dt 1²√36-1² OC. t-6 tan 0…

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Q: torgent 2. A particle moves along the curve implicitly defined by x²y³ + yx³ = x² - y². When the…

A: Differentiate wrt t  and put value

Q: Find the area of the region bounded by the y-axis, the line x=3, and the functions f(x) = (x² - 3x +…

A: We have to find the area of the region bounded by the y-axis, the line x=3, and the functions…

Q: The following integral represents the volume of a solid of revolution. Describe the solid. =[^y₁ The…

A: Given :- Volume of solid=π∫04ydy

Q: Determine whether the Mean Value Theorem can be applied to f on the indicated interval. If the Mean…

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Q: M3.2. d. A cadet engineer determines that when x hundreds of units of a particular commodity are…

A: We need to find out the instantaneous rate of change of P(x).

Q: 3. fxe (4-x²) dx

A: ∫ xe4-x2dx

Q: Solve the inequality. State the solution in interval notation: 6x4 + 12x³ < 48x²

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Q: Evaluate S COS 3 ³ (1) 6 [ cos ³ (1) dx = 3 6 dx.

A: Given query is to find the integral.

Q: Let g(x) = x(lnx)². Find the open intervals on which g(x) is increasing and decreasing.

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Q: Determine if the improper integral is convergent or divergent, and calculate its value if it is…

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Q: D Question 8 Given the following graph of a function. 3 2 O (2,00) 4 4-3-2-1 12345X -1- -2 -3 4 5…

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Q: Evaluate the following integral or state that it diverges. dx 17.15 x² +25 1

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Q: Use interval notation to represent the separate intervals where 2x + 5 will be non-zero:

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Q: Problem 1 Given a first-order differential equation: √1 + x² dy - ydx = 0 a) What is the best…

A: We have to find the general solution and the particular solution of the given first order…

Q: 81.2² 18 3x-2 = For the rational function h(x) a. Find any intercepts of the function. State them as…

A: to find the y-intercepts, take x=0

Q: What is the first derivative of f(x) = 9(x¹)? Select the correct answer below: Of'(x) = (x4)9x¹-1) O…

A: To find the derivative of given function.

Q: Conc.1 Conci .6. Find the intervals where the function concaves upward and concaves down, frx) =…

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Q: (2x+3) y'= y + (2x+33 when 3. (2x+3) X x = -1, y = 0 1/2

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Q: An operator found a 1.3 meters-tall dead man at the bottom of an inverted conical tank that has…

A: The height of the dead man is 1.3 meters, so, if the man died due to drowning then, the water level…

Q: x 9 PCRS (57) thenewboston YouTube A31 W6 Complete Lectures.pd C…

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Q: dx [+ x ==- I- x+1 X S

A: The given integral is ∫-1∞xx+1dx We have to find the solution of this integral.

Q: Rewrite the quadratic function f(x) f(x)= ■ Vertex: = 2x² + 4x + 7 in standard form, f(x) = a(x -…

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Q: f(x) X 2 tan r -

A: We have to solve given Questions.

Q: dy Find for the equation ex+y² = x. dx 3-x [A] [B] ³ xy 1-x 2xy [C] 1-2x xy [D] 2-x 2xy+e [E] 1-x xy

A: Concept: The formulas used: ddxxn=nxn-1ddxln(x)=1xln(ab)=bln(a)

Q: Solve the given Exact Equation. Be sure to supply all the steps that lead to your answer. (cos x cos…

A: To solve the differential equation.

Q: √x² ²-4 .3 x -dx

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Q: Find the cross product axb 6=(-4,3-5) Where a= (-3, -5,0) and (483 axb = <D₁ 0₁ 02

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Q: Finally, determine (x³. - x + 8) and simplify the result. Recall that multiplication is commutative…

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Q: Question 20 Find the derivative: x²(x² + y²) = y² y = - fo Ov fi P r(2x+y) (1-²) v(22:²-²) x(1+z²)…

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Q: Find the indicated Midpoint Rule approximation to the following integral. 18 S2x² 2 27 dx using n =…

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Q: Find y' if 7 y² + sin (3x) = 12-y f

A: Here we can find the y' in the below steps, using implicit differentiation.

Q: 2. Find d [ex (x4+1)×] dx J X

A: See this solution in below.

Q: Part C. Find the √√x-5 8). x-15 1 9). +3+ + √x + 10

A: Topic = Function

Q: 1. (sin³1y) (cos ydy 5 8 0 2 2

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Q: Solve the given initial value problem. dx dt dy dt : 6x + y; || - 4x + y; x(0) = 1 y(0) = 0

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Q: Calculate the integral of f(x, y) = 4x over the region D bounded above by y = x(2 - x) and below by…

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Q: Question 1 Find the transform of the given function by use of a table. f(t) = cos -4t-sin-4t (A)…

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