(u)n zu = (u)x

Q: y = 3Arcsin (2x³) -- Arccos(2x³)

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Q: (a) dy Given 4 sin 3x + 2exy = (2x + y)³, find dx'

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Q: Solve the integral: feln(2x² + 3x-4)³ (4x+3) dx

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Given f(x)=4x+1 and g(x)= x²+x-3: Use the washer method to determine the volume of solid obtained by…

A: Let's find volume of solid by using washer method when given two curves rotated about x axis.

Q: 17. Find the volume of the solid that results when the region enclosed by y = √x, y = 0, and 2 = 9…

A: According to our guidelines, we can answer only the first problem or first three subparts of a…

Q: evaluate the limit and simplify. Complete solution.

A: Evaluating the limit

Q: 2. Simple Chemical Conversion Radium decomposed at a rate proportional to the quality of radium…

A: Let's find time taken 1/2 the original amount of radium to decompose.

Q: --——-^*[e'-In(2t+1)]dt, find g'(x) . dx 4 A e*+ (2x + 1)² 4 B et + (2x + 1)² 2 (C) e*- - (2x + 1)²…

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Q: Determine the integral: x²cosxdx A x²sinx+2xcosx-2sinx + C B x²sinx-2xcosx-2sinx + C Cx²sinx +…

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Q: The general solution of (D³+4D)y=0 is Ay=e*(c₁cos2x+c₂sin2x) B y=c₁+c₂cos2x+c3sin2x Ⓒy=c₁еx+c₂e²x +…

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Q: For a period of time, an island's population grows at a rate proportional to its population. If the…

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Q: дz дz Givenz = xey +yex, Find дх’ду

A: in partial differentiation , other variable is considered as constant when function is…

Q: 2. S(-18z +36)( - 2z - 4) dz

A: We need to evaluate the following integral ∫-18z+36-2z-4dz Formula Used: ∫zndz = zn+1n+1+C

Q: How far does the car travel during that time? * Onone of the choices O260.133 ft O 300 ft O258.133…

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Q: T Shift Ctrl -3 S x²4x +3 2 1 X(X + 1)² dx

A: First we take partial fraction then integrate.

Q: For questions no. 2 and 3. Given: A thermometer reading is 60°F at 3:00AM and a Civil Engineering…

A: From Newton’s Law of Cooling, we know that: T(t) = Ts + (To – Ts) e-kt Where, t = time, T(t) =…

Q: Lim (112²x - 21²) (sin²x x-0

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

Q: Find the equation of the tangent line to the curve y = 4 sin x at the point (7,2 The equation of…

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Q: Solve the integral: A B с 1 √√x+x √√ Sin/1+x²|+c -In +C 6in|5+ x²|+C с {in/1+x³ |+c C dx

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Q: Find the absolute maximum and minimum values of the function, subject to the given constraints.…

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Q: SHOW COMPLETE SOLUTION (NO SHORTCUTS PLEASE) !!! General solution of (x²y³. - 1+9x²) dx + x³y²dy = 0

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Q: L(sin 2t cos 2t) Your answer

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Q: 4. Use the washer method to determine the volume of the solid obtained by the revolving the region…

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Q: Q3/ Find a volume for the region bounded by 4/X and Y = (X-3)² about the x-axis.

A: The given curves are; y=4x and y=x-32 So, the bounded region is as shown below. Apply the disk…

Q: Evaluate D³(sinx - 4e²x) (A) sin x-32e²x (B) -cos x-32e²x C -sin x-32e²x D cos x-32e²x

A: Finding the third derivative of the function

Q: Write TRUE or FALSE before each statement. Solve y' - ³y = dependent variable. differential…

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Q: lim (x-7) tan x x→2 플

A: The objective is to evaluate the limit.

Q: 2. Radioactive isotope Carbon-14 decays at a rate proportional to the amount present. If the decay…

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Q: The length of a rectangle is given by 4t - 3 and its height is √2t, where t is time in seconds and…

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Q: 3. The Critical Point of y = xe-*

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Q: Given A B 1 -dx, determine all value/values of P for which the improper integral converges? to…

A: Using p-test form infinite limit we know that:  For a>0: If p>1 then ∫a∞1xpdx converges. Here…

Q: At what points does the helix r(t) = (sin(t), cos(t), t) intersect the sphere x² + y² + z² = 82?…

A: This question can be solved by putting x=sint, y=cost, z=t in the equation of sphere to obtain the…

Q: dx ef. using rationalizing substitution. x1/2 + x2/3' Evaluate

A: We know that integration of xn is xn+1/n+1.   Here i attached the solution of this question.

Q: must

A: When a curve changes from concave down to concave up or concave up to concave down , that means…

Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

A: Given:      fx=x-13       gx=x-1 Volume of solid generated by revolving around the region is…

Q: Find L(e³t cos 2t)

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Q: lim (e²x + 2) 8118

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Q: The function is x % = y? What is 8 2 dude Y æ2

A: We need to find derivative.

Q: In(x+2) 1. S dx 2x+4 2 2. fx² ex dx 3. f tan³x dx 12

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Q: Find the volume of solid generated by revolving the region bounded by f(x)= x² + 1and g(x) =…

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Q: Evaluate the following iterated integral: for-y |x - y dx dy. Answer: 1/3

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Q: lim (lnx) = . x →+∞

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Q: (2x³-9x²+2) dx from x = 6 to x = 11

A: Given: ∫2x3-9x2+2dx   from x=6 to x=11

Q: Find the dimensions of the rectangle of maximum area that can be inscribed in a right triangle with…

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Q: Using the method of variation of parameters, the form of a particular solution Yp of…

A: Here, the given DE is: (D2+25)y=4x2-3e5x

Q: Question 2 Given a differential equation as करवर d'y dy dx² +6x +6y=0. dx By using substitution of x…

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Q: 2. Simple Chemical Conversion Radium decomposed at a rate proportional to the quality of radium…

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Q: What is the DE of the family of parabolas having their vertices at the origin and their foci on the…

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Q: Find the area bounded by x2 = 4y + 4 and x = y = 2. Using vertical element, what is the integral…

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