xZdx Va-x

Q: Direction: Evaluate the following integrals. 25x3 1. S 30x5 + 20x7 dx 4 3

A: As per our guidelines we are supposed to solve only one question. For the solution of the first ques...

Q: dx 1 = J Jaz-x2

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Q: If x² + y2 = 25 what is the value of the second derivative y' at the point (4,3). O A. -(25/27) B. -...

A: Solve the derivative

Q: Perform the multiplication on the differential operators. 1. D°(x²D+2) 2. (xD-2)(D+4x)

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Q: 1. 2xy2 + 4 = 2(3 – x²y)y' y(-1) = 8 dr p2 r(1) = 2 de II 2.

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Q: Find the general solution of the differential equation dx =t (1+t² ) sec² x dt.

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Q: Bus A and Bus B leave from the same station at the same time. Bus A travels due North at 30 mph, whi...

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Q: 2). We want to construct a box whose base length is three times the base width. The material used to...

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Q: (1) Find all horizontal asymptotes of f. If there are no horizontal asymptotes, enter -1000. If ther...

A: We have to find the horizontal and vertical asymptotes and sketch the graph.

Q: Sketch the surface given by the equation x2+z2/3+y=3 indicating the points where the surface cross...

A: Sketch the surface given by the equation x2+z2/3+y=3   indicating the points where the   surface cro...

Q: 4. Use the transformation u = r - y and v = 2x + y to evaluate the integral I| (22 – ry - y²) drdy f...

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Q: (5D3 — 51D2 + 135D — 25)у %3 с A. y = c,e0.2x + Cze5x + C3xe5x B. y = c,e0.2x + c2xe0.2x + C3e5x + C...

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Q: Thomas 6 feet tall walks away at a rate of 5 ft/sec from the light at the top of the 16 feet pole. D...

A: topic - rate of change

Q: It is estimated that t months from now, the population of a certain town will be changing at the rat...

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

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Q: Question ): The integral that represents the length of the curve y = tan(2a), where <a <, is the fol...

A: Given y=tan2x

Q: (d) Solve the IVP if y(0) = ko, y'(0) = k1

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Q: : The area of the surface obtained by rotating the curve y = 2 In a, for 1 < a <e, about the a-axis,...

A: We have to find the integral that given the surface area.

Q: SET UP the definite integral that will give the area of the shaded region using a. r as variable of ...

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Q: Find the orthogonal trajectories of x^2+y^2−2cy=0

A: According to question, Given family of curve, f(x, y, c) = x2+y2 -2cy = 0

Q: D. y" + y’ - 3y = 4sin 2x

A: This question is related to differential equations, We will solve it using given information.

Q: 1. (2D³ – 7D* + 2D³ + 3D²)(f) = 0

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Q: f(x) = x2 - e* 5 Find the value of x for which the second derivative f'(x) equals zero.

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Q: Find the solution of the Linear Homogenous Differential Equation with Constant Cofficients. (D³ + 4D...

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Q: A bank offers 5% interest compounded continuously in a savings account. Determine (a) the amount of ...

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

Q: QUESTION 5 Find the center of a solid of constant density o bounded below by the disk x2 + y2 4 in t...

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Q: ey аy — е 2х — ехеУ dx e*ey

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Q: 3. Find the volume of the tetrahedron in the first octant bounded by the coordinate planes and the p...

A: Given

Q: 4. The price-demand equation and the cost function for the production of infrared thermometers are g...

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Q: a.) On the interval (-o, 0), f"() b.) On the interval (0, 0), f"(x) = Thus, c.) On the interval (-o,...

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Q: (2D4 — D3 — D?)у%3D0 - A. y = c1x + cze* + c3xe* + Cze¬0.5x B. y = c1 + C2x + Cze* + c3e-0.5x C. y =...

A: To answer the given differential equation (2D4-D3-D2)y=0      

Q: The general formula for all of the vertical asymptotes of y = cscx is x = 5 + nT; nɛZ Ox = +2n7; nɛZ...

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find the orthogonal trajectories of x² + y² – 2cy = 0

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Q: Each figure in Figure 7 shows the graphs of a function g, its first derivative, and its second deriv...

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines...

Q: In (In(ax))

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Q: The 5th term of an arithmetic sequence is 47 and the 17th term is 152. Find the first term and commo...

A: general term of arithmetic sequence  an=a+(n-1)d .........(1)where a=first term and     d=common dif...

Q: n²(ln(ar)) dr,a>0 J 2r In(ax) a.

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Q: f(r, y) = VT y %3D (b) Computethe partial derivatives and the Hessian matrix of z=f(x,y) at each poi...

A: The objective of the question is determine the partial derivative and compute Hessian matrix of the ...

Q: Question ( ) The following series is divergent: Σ (-1)"+2 5" n=1 Select one: True O True False

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Q: 16 dx sec x tan x

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Q: a. y = x5 – 0.125x² + 0.25x b. y = 2 tan²x – sec²x

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Q: Determine the radius of convergence and interval of convergence of the powe series Σ k! · 4k+1 1.-0

A: We have to find out radius of convergence

Q: 3x4 – 2 lim 9a +7 II

A: Here we have to find the limit.

Q: Find g' (6) given that f(6) = - 3 and f' (6) = 6. Enter the exact answers. (a) g(x) = 7x² – 6f (x) g...

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Q: rdr a. V /x+3

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Q: Answer the following homogeneous linear differential equations.

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Q: Find the largest open interval, centered at the origin on thex-axis, such that for each x in the int...

A: f(x) = x +2 f(0) = 2 ∈ = 0.2   Now, | f(x)  -  f(0) | &lt;  ∈

Q: sin 5z-sin 3z 14. lim,» +0 sin z

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Q: X Below is the graph of the derivative f' (x) of a function defined on the interval (0,8). You can c...

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

Q: Given that f'(x) and g(x) = /7x – 2, %3D x2 + 3 find F'(x) if F(x) = f(g(x)). %3D

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