If y = 3x3 + 2x and dx 5, find dy when x = 2. %3D %3D dt dt dy dt %3D

Q: 13. Find the solution set of b) 14x – 1| > |2x + 3| + 1

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Q: Which of the following is the general solution to the differential equation 4xyº = -x² – y² for x> 0...

A: The differential equation is given as , 4xydydx=-x2-y2 find the general solution.

Q: Determine whether the series converges, and if so find its sum If the series diverges, indicate that...

A: The given series is summation of 1/(81k2+63k-8).

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Q: Given the data table Years U.S. Population (millions) after 2000 1 285.5 295.5 8. 303 10 0. Use the ...

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Q: 1. x cot2 xdx X CO

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Q: Calculate the left Riemann sum for the given function over the given interval using the given value ...

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Q: ax ve

A: To evaluate: I=∫dxex...(1)

Q: Q3. Each of the following curves is expressed as y = f(x) i.e. in terms of x. However, you are asked...

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Q: 26 E(- 1)"2n - %3D n=0

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Q: Find the area of the cardioid r=2(1+cosθ). a. 2π b. 4π c. 5π d. 6π e. none of the above

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Q: Question 3 Consider the function h(x,y, z) = e10-xy + sin(2nz). (а) (i) Calculate the gradient of h....

A: As per bartleby guidelines we only give first question answers with subpart.

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -5 and g'(6) = 3. (...

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

Q: 8xdx 1 — 4еx?

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Q: Determine the general antiderivative below. (Use a capital C as the integration constant.) (x+3)/x-1...

A: We have to find integral

Q: Use the graph of f(x) shown below to determine each of the following limits. If any of the limits do...

A: Let's find. 

Q: Question 1 Consider the function (x²y² – y³ x2 + y2 if (x, y) # (0,0) f(x, y) = %3D 0, if (x, y) = (...

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Q: Find the value or values of x for which the curve of the following functions has a point of inflecti...

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Q: What is the general solution to the differential equation = (1 + y²)e*? dx

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Q: f(x+h)-f(x) mplify the difference quotient for the given function f(x) = 7x - 3x+2 x+h) - f(x) (Simp...

A: Per are asked to find the difference quotient 

Q: Evaluate the following integrals. 1. sec-a dæ cos Va dx Væ csc /æ 2. x2 dx - 3.

A: Integration by parts

Q: Instruction: Solve the following indefinite integrals. Show complete solutions. 14. | csc(1 + sin? x...

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Q: Problems: 1. Engineers have observed that when transferring a message I (an input signal) through a ...

A: All parts of the problem are solved below in detail.

Q: The Heaviside function is used in engineering applications to model flipping a switch. It is defined...

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Q: (2xy+y^2)dx-2x^2dy=0 when y=e and x=e solve using homogeneous equations

A: Given (2xy + y²) dx - 2x² dy = 0.   With x = e , y = e To find Particular solution of Homogeneous D....

Q: dy at the given point. dx Calculate – T T sin² (-5y) = x + y. (2) 4 4 (Give an exact answer. Use sym...

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: 2- 1- -4 -3 -21 0 2 3 Graph of f The function fis continuous for -4 <x <4. The graph of f shown abov...

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Q: Since lim k→+0 (k + 1)!/3k+1 k!/3* k+1 lim k→+∞ 3 +00, k! the series (converges/diverges/inconclusiv...

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Q: A graphing calculator is recommended. Consider the following. cos(x) = x3 (a) Prove that the equatio...

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Q: There is a jump discontinuity at x = 1 and lim f(x) = 1

A: At X=1, there is a jump discontinuity.   limx→1- f(x) = 1.As function f(x) approaches towards 1 from...

Q: For the next six questions, consider the differential equation: y" + 4y = g(x), g(x)# 0

A: follow next step

Q: cos(2x) -dx sinx+cosx

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Q: - Find: if x<1 if 1sx<2 if x 22 f(x) =x a. lim f(x) d. lim f(x) X-2* 2x b. lim /(x) e. lim f(x) c. l...

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Q: Evaluate lim -2x csc (-5x).

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Q: y? 1. 2. Consider the equation In ry (i) Show that (r, y) = (1,1) is a solution to this equation. dy...

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Q: 47. Let the assumed particular solution for the given DE be yp = (Ar + Bx² + Cx)e + E. What is the v...

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Q: Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 9 in. / min. Co...

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Q: A trough is 50 ft long and has semicircular ends, with the flat side facing up. The semicircles have...

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Q: 47 - tan 3. (That dot between the two trigonometric functions represents multiplicatic () Find the e...

A: Given that sin7π6.tan4π3Solution:sin7π6.tan4π3sinπ+π6.tanπ+π3-sinπ6.tanπ3        sinπ+θ=-sinθ ,tanπ+...

Q: (a) Find the slope, m, of the tangent to the curve y = 9 + 5x2 - 2x at the point where x = a. m = (b...

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Q: 2 x y ey + y² e*v° +1) dæ + (æ² e**v +2 x y e" ° – 2 y) dy = 0

A: We have to solve given differential equation.

Q: 13. Find the solution set of c) 2x? – 3x – 4| < 5 Зх — 4| <5

A:   The given inequality is 2x2-3x-4≤5. Absolute Rule: If x≤a, a&gt;0 then -a≤x≤a.

Q: -n ) Σe n=1 1 d) Σ+ 3 п n=1 8

A: C) Given that ∑n=1∞e-n By the integral test, ∫1∞e-x dx=limt→∞∫1te-x dx                              ...

Q: 2 COS os²(5æ) sin*(5æ)dr 4

A: This is a problem of integration. Based on the general formula of integration we will solve the prob...

Q: 12. Let F (x, y) : that = esin x+cosy (cos x,– sin y) and C = {(x, y): x² + y² 0. Show [ F- dR = 0 ...

A: Here we will use the Stroke's Theorem to prove the result.

Q: Which of the following is true for the function f(z) - a -4, z<1 -2, O a. f(1) = undefined O b. lim,...

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Q: Find the slope, TL and NL of the function y= 2x2 +2x at the point x=1/2. Graph the function, TL, and...

A: We have to find equation of tangent line and normal line

Q: S(x+ )´ dx 2 1 X X.

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