Using the precise definition of a limit, à in terms of & for lim (2-3x) = -4 is E/-3 X-2 A) True B False

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Q: 7. The value of f √x dx 1+√x A. x-2√x + 2 ln (1 + √√x) + C B. x-2√x -2 1n (1 + √√x) + C C. x-2√x+2…

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A: To find out the volume of revolution.

Q: Use an appropriate test to determine whether the series given below converges or diverges. 00 Σ n=1…

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Q: c) (n+1)2

A: We will apply Ratio-Test for converge

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A: We need to find tangent.

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Q: Find the solution of the given initial value problem: y(t) = y""+y' = sec(t), y(0) = 6, y′(0) = 7,…

A: Please see the below picture for detailed solution.

Q: Evalua COS [cas (VF) ². √t = √t

A: We have to integrate the given trigonometric term.

Q: Are the partial derivatives and gradients of a function the same, no matter your starting position?

A: Topic:- application of derivatives

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Q: Evaluate the limit using the Basic Limit Laws and the limits limx→ x/q = pla and limx→ck = k. (Use…

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Q: Use partial fractions to find 6x²+34x-7 x³+7x² 6x²+34x-7 x³+7x² 6x²+34x-7 x³ +7x² S6x² + 6x²+34x-7…

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Q: the auxiliary equit of the given diff- eqnn is m² +6m +8 = 0 2 m²^²+4m+ 2m +8 = 0 (m+ y) +² (m+4) =…

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Q: Write an equation for the quadratic graphed below x-intercepts: (-3,0) and (1,0). y-intercept:…

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Q: (2) √(2x³² - 4x²) -4xº)dx (b) [(72+ + ²) dx (c) [(5x² + 7e +3x+2)dx 3x

A: In this question we have to solve the Integration.

Q: Solve the given differential equation. 11x² – 1 11 + 5y y' =

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A: Given the graph of a function. To find the points where the function is discontinuous or not…

Q: -10 -9 N -8 -6 -5 10 6 8 7 6 5- 4 3 9 1 0 2 3 4 6 8 9 10 Т

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Q: Find the general solution of the following differential equation. y" + 15y' + 56y = 0 NOTE: Use c₁…

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Q: Evaluate (for x>0) 3√x dt d dx A 2 1+t²

A: Given :ddx∫0x3dt1+t2

Q: 6. Demonstrate that Σ j=0 1-z' 1-z

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Q: F.T. 3) If X(t) 4² _y(t) = x (2+-1) -it Ans: Yow) = + X(W) and X (W) = --J(W+1) W+1 [4+j(W+1)]² 2 (2…

A: Given that, Forior transform of x(t) is x(w). And x(ω)=w(2+jω)2 If y(t) = x(2t-1)e-jt  Then We have…

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Q: eased equipment worth $70,000 for 5 years. If the lease rate is 5.75% unded quarterly, calculate the…

A: Please refer to the image below

Q: You plan to save money for a down payment of $38,0 can only afford to save $6,000 at the end of…

A: Topic:- compund interest

Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

A: The function is given by fx = 3x2+5x-3x2+3x-10 To evaluate: The equation of vertical Asymptotes and…

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Q: For the following left-endpoint Riemann sum, given Ln as indicated, express the limit as n → ∞o as a…

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Q: (a) Give the definition of line integral of a vector field over a path. (b) Compute the line…

A: Use line integral concept

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Q: Suppose that y varies inversely with x, and y = 4 when .x = 3. (a) Write an inverse variation…

A: Solution of given question is written in below steps.

Q: Express your final answer at least three (3) decimal places.   Find the arc length of the curve y…

A: Concept: The arc length of the curve is given by  L=∫abds In rectangular form, ds is presented as…

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Q: Ass: 一 V EXAMPLE 6 Find the area enclosed by the line y = x - 1 and the parabola y² = 2x + 6.

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Q: Question show that the limit does not exist. a Find the limit, if it exists, or b) lim (x,y) →(0,0)…

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Q: How much money should Nicholas invest today into a fund that earns interest at 4.75% compounded…

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