1. SSin³ 3x Cos² 3x dx 2. JSin* 2пу Сos$ 2пy dy 3. JSin8 3пx Сos83пх dx 4. STan“ x dx

Q: 10) An area is approximated to be 14 in using a left-endpoint rectangle approximation method. A righ...

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Q: aairical nunber is anumber C HAthe dor of f such that f'@)=0 or f' C dne Pfind the aninical #s of th...

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Q: What is the laplace inverse of 5 - 3e-30 – 2e-70 že-7s

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Q: 4. A container with square base, vertical sides, and open top is to be made from 1000 ft2 of materia...

A: Volume of box is x2 y where x is the base and y is height of the box. 

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about ...

A: solution:-the region bounded by x=y2, y=5 and the y- axisrotationg about the x-axisusing the shell m...

Q: 2. In 3-space the distance d from a point P to the line L through points A and B can be expressed as...

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Q: (1) Show how to compute the Jacobian for a double integral f SR f (x, y)dxdy to a double integral in...

A: The Jacobian formula is: J(u,v)=∂(x,y)∂(u,v)⇒J(u,v)=∂x∂u∂y∂u∂x∂v∂x∂v...(1)

Q: Use the Comparison Test to determine if the series 2+ In n n sin? n n=1

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Q: Directions: Determine the equation of the ellipse in Standard Form and General Form given the follow...

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains ...

Q: Let fx) = 10x +4-15 ex, Then the equation of the tangent line to the graph of fa) at the point (0,-1...

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

Q: y = 4x2 + 16x + 9

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: lim ("V52"-1

A: Given: limn→∞52n-12n   We know that the radical rule; amn=amn

Q: Given f(x)=x+2Jx. Use the definition of derivative to find f'(x).

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Q: 1.n f csc n² d0

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Q: Find the critical numbers of the function. f(x) = 5x In x %3D X =

A: The given function,  fx=5x ln x

Q: For the demand equation, use implice deferentiation to find dp/de. 18p + 4p +3-x

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

Q: Determine the following limits. If the value is infinite, specify 0 or -o with enough justification ...

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Q: Find the natural domain and graph the functions(answer all points) f(x) = 1 – 2x – x²

A: The domain of a function is the set of input or argument values for which the function is real and d...

Q: Use implicit differentiation to find y' for the equation below and then evaluate y' at the indicated...

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Q: 2. Calculate the double integral 2ry dA, where R is the triangular region with vertices (0,0), R (1,...

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Q: Solve by Chain Rule (V3x² + In(5X*)) y = tan

A: To differentiate the given function using chain rule.y=tan3x23+ln5x4

Q: Solve the given system of differential equations by systematic elimination. (D2 + 2)x - -2x + (D2 + ...

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Q: Q– Fin the surface area of the portion of the paraboloid z= 6-2x - y that is above the x-y plane (z-...

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Q: Use the definition of the Taylor series to find the Taylor series for f(r) = centered at a =1. (List...

A: To find the Taylor series for f(x)=e2-x centered at a=1. Concept used: The Taylor series can be expr...

Q: suppose for a particular commodity, e=.25 and that currently 90,000 units are selling for $6 each. H...

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Q: The concentration of a drug in the bloodstream C(t) at any time t, and hours, is described by the eq...

A: The concentration of drug reaches its maximum when                         C'(t) = 0find the values ...

Q: 1. Find the local maximum and minimum values and saddle point(s) of the function. If you have three-...

A: Given

Q: 88. Let f be a twice-differentiable function such that f"(x) < 0 for all x. The graph of y = S(x) is...

A: The graph of y=T(x) is the line tangent to the graph of f at x=4

Q: Evaluate the Riemann sum for f(x) = 2x - 1, -6 s xs 4, with five subintervals, taking the sample poi...

A: right reimann sum

Q: Between 0°C and 30°C, the volume V ( in cubic centimeters) of 1 kg of water at a temperature T is gi...

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Q: Estimate the slape of the line rom Its graph.

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: Integrate the function. 8 dx V36 - 64x2 X+ C sin-1 + C -1 + C D 4 tan-1 3. B

A: Given:       ∫836-64x2dx  substitute u=4x3→dudx=43                   dx=34du         =∫636-36u2du   ...

Q: Question 13 Find the domain of the vector-valued function. 4. r(1) =i+V7-1j+ In(1-5)k 1-8 O 17,5) O ...

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Q: Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = In(x2 + 3x ...

A: Given that the function is       f(x) = ln(x2+3x+4) , [-2,2] Here we have to find the absolute minim...

Q: 3 dy 4y-3

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Q: Solve the given differential equation. x2y" – 6y = 0 y(x)

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Q: A bacterial population is 2000 at time tea equals zero, and it’s rate of growth is 1000×2^t bacteria...

A: We have to find the population after one hour

Q: Find the particular solution of the differential equation that satisfies the initial condition. (Ent...

A: Given: yx+5+y'=0 ; y-10=1   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫1ax+bdx=1alnax...

Q: Question 14 The domain of the following function (x.v) =In(x-r+1) is given by the equation:

A: The given function is: f(x,y)=ln(x-y+1)

Q: find (y') by Implicit differentiation e(2x+3y) = x² – In(xy³) 1 Add file

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Q: 1. Find the centroid of the infinite region in QIl enclose by the coordinate axes and the curve y = ...

A: Here we have to find the centroid of the infinite region in QII enclose by the coordinate axes and t...

Q: find the second derivative of y=[(arctan((2+x)/(1-2x)))]

A: find the second derivative of y=[(arctan((2+x)/(1-2x)))]

Q: 1. x³ + y³ – 3axy = 0 2. x2 - 2xy + y? – 6x + 2y = 0 3. (x+y)2 2ay 4. x + yi = 9| 5. (x² – y?) = 4ay...

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Q: After the consumption of an alcoholic beverage, the concentration of alcohol in the bloodstream (blo...

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Q: 3. у %3D — 4(х + 2)2

A: To find out the maxima and minima.

Q: 5.S dx 2 x+5

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Q: Hw-4 problem SET 2.1 Yeduce to Pirs oreler and solve (1+ Cosn 6 gonod luck a^

A: First we reduce in first order that is integrate on both side.  According to guidelines we solve onl...

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: The region bounded by the curves,x=23y ; x=0 ; y=5