2x-1 = 3x

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Q: | (44 + 313 dx = Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answ...

A: Let I = ∫ x3dx/(4x4+3)3 ---(1)

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Q: Use the triangle method to simplify sin 2sec-1 2

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Q: 3. For f (x) 3D Зх — х3 - X (a) find where f is increasing and where fis decreasing, (b) find the ex...

A: The solution of the problem is given in the next steps.

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. | (6x – 5)° d...

A: As we know that the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 Given: I=∫6x-59dx  ...1

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A: We have to find

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Q: 2. */4-x a) Integral Number in the attached Table: b) Values of the constants: a = d = (Fill in the ...

A: The solution of the problem is given in the next steps.

Q: t+1 * and y = t2 -2t +3, then find dy If x = t- 1 1 A (t- 1)2 B -(t – 1)3 1 t-1 1 D (t – 1)2

A: Given x  and  y in form of "t" and we have to find out dy/dx

Q: 3. The pressure (in kPa) in a sealed vessel full of gas is 64 P = where V is the volume of the vesse...

A: For the solution follow the next step.

Q: 2. 6y dx - x ( 2x³ + y) dy = 0

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Q: Direction: For each of the following functions; (a) use transformations to describe how the graph is...

A: 1)  y = logxx+3y = logx+3logx   --where base of logarithm is 10, and is part a b) Curve :-      c) ...

Q: Differential Equation Activity

A: To find the general solution of the given differential equation   

Q: QUESTION 2 a) Evaluate the integral | dx (x-5) +5 b) Show that 5+4x - x² = 9-(x-2) by completing the...

A: (a). From the given problem: I=∫5x-52+5dx   ...1 Let, u=x-5So,ddxu=ddxx-5dudx=1-0du=dx

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A: Using quotient rule & derivative of composite function.

Q: Given the following functions: f(x) = cos(x) and g(x) = x11 + 1. Find: dz f(9(x)) 음9(f(x)) =

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Q: Find the general solution of (x³ + xy2 + y)dy + (x²y + y³ + x)dx = 0 %3D xy + In(x² + y²) = c 2xy + ...

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Q: h(x) = x² In(x) s(y) = In(cos(y) +2) a. с. %3D b. p(t) = In(t) et +1 d. z(x) = tan(In(x)) е. m(z) = ...

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Q: Sketch an area bouneded by the parabola y = x´ and the line y = x + 2. Using an iterated ntegral, fi...

A: We are asked to find the area of the region bounded by the parabola ana the line.

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A: Given:- f(x,y)=lnx2+y2 To find:- Gradient of f ∇f

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Q: - (x³ +x² – 5x+15)dx (x² +5)(x² + 2x +3)

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Q: cos8x 8.S -dx sin4x os³tdt dt 9. Ste 1-sint

A: Given the integral

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Q: Evaluate the porticalar çoution of: y(み-yty)x - x(4-y)dy %=o when x=1, y = 2 A- y?Inx + xy + x* = 2y...

A: y(2x2+y2-xy)dx - x2(2x-y)dy = 0 dydx=y(2x2+y2-xy)x2(2x-y) dydx = (2x-y)xy + y3x2(2x-y) dydx = xyx2 +...

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Q: d) R1 rotates around the y-axis e) Rp rotates around the y axis f) R3 rotates around the y axis y = ...

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Q: 8. Determine the most general antiderivative of the function g(x)=

A: Given that: g(x)=3x

Q: An object is thrown Vertically upward with an Initial Velocity of 16 ft/sec Trom the top of a house ...

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Q: The altitude (,) of a right circular cylinder is always equal to the diameter (a) of the base. Find ...

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Q: lim 3 x-8 V 11–2x LIMIT VALUE:

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Q: The graph of a function f is shown below. 4 4 3 2 4-3 -2 -1 +1 -2 3

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Q: (x – 1)² In x lim (x,y)→(1,0) (x – 1)2 + y2

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Q: Find the vector equation for the line of intersection of the planes 5x +y-3z= -3 and 5x + z = -1 r =...

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Q: a = (3, 2, 4), b = (-3, 3, 0), c = (0, 0, -2) %3D (a) Find a x (b x c). a x (b x c) = || %3D (b) Fin...

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Q: 5cot 2.5 zin° sin2

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

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Q: The function f(x) = (2x – 9)e' -2 has one critical number. Find it. X =

A: See the details solution in below

Q: Find the point of intersection of the tangent line to y=sin 2x) at y=0 and the line x+2y=5-

A: Given: y=sin(2x)  and y=0       substituting y=0 in y=sin(2x)then    0=sin(2x)         2x=0         ...

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Q: Neter to the imege below cvaluate the Parsterular colutron the differential eguatiob of and frnd pse...

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Q: Suppose your daily revenue from selling used DVDs is R(t) = 100 + 10t   (0 ≤ t ≤ 5) dollars per day...

A: We need to find area between R(t) and C(t) for 0 ≤ t ≤ 5.

Q: The graph of a function f is shown below. You can click and drag on the graph to pan the graphing vi...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: x – Y lim (x,y)→(0,0) Vx – Vy

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Q: Evaluate the integral f 2x (x2 +7)° dx using the substitution u = x² + 7. 2x (x? + 7)° dx +C

A: Solution:

Q: Given the function below 3 f(x) = V45x /45х° —18 Find the equation of the tangent line to the graph ...

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Q: At 9:00AM, a thermometer reading 70°F is taken outdoors where the temperature is 15°F. At 9:05AM, th...

A: Solve by using Newton's law of cooling