1 Lim x→0* x0x 1 sin x

Q: Find the area bounded by : f (x)=e*, g(x)=e* and x=3. (A (e²-1)² e² sq. units B (e²+ 1)² e² sq.…

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Q: Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

A: Given that, Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from…

Q: cot3x Lim x-o cotx 0

A: Let's find limit of given function.

Q: Find the derivative of 10 5x - 4. 1 5 9 X (10) 5x-4 Click here to enter answer Back Delete Clear…

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Q: 5. The auxiliary equation of the differential equation (4D³ - 13D + 6)y = 0 falls under Prove your…

A: Given; ( 4D^3-13D+6)y=0

Q: z = xey + yex, Find əz əz дх'ду

A: Given: z=xey+yex To find : ∂z∂x,∂z∂y For ∂z∂x, we have to do the partial differentiation of z with…

Q: A colony of the bacteria B. dendroides is growing in a petri di area A (in square centimeters) can…

A: Here we have A colony of the bacteria B. dendroides is growing in a petri dish. The colony's area A…

Q: Compute the Fourier sine series for the given function f. a) f(x) = x², 0<x< π

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Q: Evaluate the following indefinite integral using Partial Fractions S x² +4 (x²+4x+3)(x-2) dx

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Q: 3. Look at the figure below. Find the value of x and the measure of each angle. n 1.x = 2.42 = 3.26…

A: We know that alternative interior angles are same Therefore 5x-14=3x+18 Subtract 3x+18 from both…

Q: For questions no. 4 and 5. Given: Radium decomposed at a rate proportional to the quality of radium…

A: Using logarithmic function

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: (D³ + 3D2 + 3D + 2)y = 0

A: Find out the solution.

Q: 4 [*(16-x²) dx

A: Using left reimann, approximate area is evaluated.

Q: SHOW COMPLETE SOLUTION (NO SHORTCUTS PLEASE) (Differential Equations) Find the general solution of…

A: Let's solve given diffrential equation.

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

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Q: Show if the following limits produce an indeterminate form. Then, evaluate the following limits. lim…

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Q: A population of bacteria B has a growth rate proportional to B itself. If between 12:00 nn and 2:00…

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Q: SHOW COMPLETE SOLUTION (NO SHORTCUTS PLEASE) (Differential Equations) Particular solution of y" -…

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Q: A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 2…

A: Given ,  A stone dropped in a pond sends out a circular ripple whose radius increases at a constant…

Q: (u)n zu = (u)x

A: Given problem:- Find the Z Transform of a given signal.  x(n) = n2 u(n)

Q: it was estimated that constructing a fence for a project could be done by 11 workers in 15 days. at…

A: Let 'n' be the number of workers. Let 'd' be the number of days required Let WT be the work done…

Q: Use implicit differentiation to determine the derivative of the following functions. 1. 3x²+2y²-81…

A: Given :3x2+2y2-81=05x2+4y=16

Q: 5. Find the volume of the tetrahedron bounded by the coordinate planes and the plane 3x + 6y + 4z -…

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

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Q: (b) Determine the rate of change of area A, of a circle with respect to its circumference C.

A: We have to find the rate of change.

Q: 1. Evaluate the following limits (a) (b) x sin r lim 2-0 1- cos x lim (1+a/x), a, b>0 x →+∞

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Q: General solution of = dx tan²(x + y)

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Q: (a) Find the point of intersection of the tangent lines to the curve r(t) = (2 sin(at), 3 sin(at), 5…

A: We have to find equation of tangent.

Q: 3. Using the Gauss-Seidel method make three iterations for the linear svstem x(0) = 0, 4x - y -z =…

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

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Q: 7.Find of z = x3 + 5x2 y + 6 02z дхду

A: find ∂2z∂x∂y of z=x3+5x2y+6 formula: ∂xn∂x=nxn-1

Q: Find the volume of the solid obtained by rotating the region bounded by the given curve about the…

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Q: Find the derivative of the parametrically defined curve (t) = 2 cos(4t), y(t) = sin(4t). dz 4cos4t…

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Q: Which of the following methods can be applied to find a particular solution yp of y" +y = cos(ex)?…

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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: The expanded form of the differential operator D(xD-1) is A XD²+1 B XD² C XD²-1 (D) XD²-D

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Q: Solve the following y" - 3y' + 2y = 2x2 + ex + 2xex + 4e3x -

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Q: when the first nine terms of an arithmetic sequence is added. its sum is 72. what is the value of…

A: The fifth term will be ,a5=a+4d=8

Q: The general solution of (D³+4D)y=0 is Ay=ex(c₁cos2x+c₂sin2x) B y=c₁+c₂cos2x+c3sin2x Ⓒy=c₁ex+c₂e²x +…

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Q: Q2/ Find the first moment about y-axis of the region in the first quadrant bounded by the x-axis,…

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Q: Using the linearity of the inverse Laplace transform, solve for the solution of the differential…

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Q: The measure of the side of a square is 7 units, with a possible error of 0.02 unit. Estimate the…

A: As we know the area of the square is: A=a2 Where a is the side of the square.   Given: a=7 units,…

Q: 3x+ +4x +4y² = 25x³

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Lim (112²x - 21²) (sin²x x-0

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

Q: 12. Find the first and second derivatives of f (x) at x = 1.2 and x=2.0 from the following table 1.2…

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Q: Question 1 A body cools from 72°C to 60°C in 10 minutes. How much time (in minutes) will it take…

A: We will use Newton's law of cooling to solve this question.

Q: 0.7 Estimate f(x) dx from the graph off as 0 shown in figure. Use the trapezoidal rule. Click here…

A: This question can be solved using the formula of trapezoidal rule of approximation of definite…

Q: 02/Use the l'Hopital's rule to find the limits in t3-4t+15 a) lim t--3 t²-t-12 X-8x² X-00 12x²+5x b)…

A: Given problem:-

Q: . The implicit solution for the differential equation y' = x³y is A. In x = y² + c B. 3 lnx = y² + c…

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