Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…
A: Formula:
Q: 4 F(s) = 3s7 (s²+3)
A: First to find the partial fraction decomposition of the function: F(s)=43s7(s2+3) For that let,…
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Q: 1. Find the volume generated by revolving about x=1, the area bounded by y = (x²-₁)² and the x-axis.…
A: We have to find the volume generated by the given function.
Q: (a) AB X AC (b) the volume of the parallelepiped determined by AB, AC and AD
A: As we know the expression for the volume of the parallelepiped is: Vp=AD→·AB→×AC→ The given…
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Q: dx 3 x + x
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Q: Find the derivative of the logarithmic function. f(x) = 2x² In 2x f'(x)= 2n +4n in (2n) X
A: Follow the procedure given below.
Q: = If cot(x) Give exact answers. sin (²) cos (77) tan(72) = 18 5 = Submit Question (in Quadrant 2),…
A: I am attaching image so that you understand each and every step.
Q: Find the equations of a line through the points (-5,5) and (10, -2) (slope-intercept form) passing
A: Recall: The equation of the line in slope intercept form is, y=mx+c, where m=slope, c=y-intercept.…
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A: To find the points at which the graph of the equation has a vertical or horizontal tangent…
Q: solve by hand( numerically) f(x)= cos(x)-x exp (x) using the bisection method and Newton- Raphson…
A: Let f(x)=cos(x)-x exp(x). Here f(0)=1>0 and f(1)=-2.178<0 Now, Root lies between 0 and 1.…
Q: 248 217 186- 155 124- 93 62- 31
A: topic:- calculus
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Q: Consider the following. (Round your answers to four decimal places.) f(x, y) = x cos(y) (a) Find…
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Q: dy dx -5y=-tr, 5y = ³ 2 y(1)=1
A: The given differential equation is dy/dx -5y= -5/2 xy3 , y(1)=1
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Q: If s(t) = 3t2 – 2t – 1, then s(-1) =
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Q: 3) . Is the differential equation linear? y' = y + ey YesNo PLEASE SHOW STEP BY STEP .
A: answer is in next step. please give a like !!
Q: Consider the following. x = 3 cosh(t), y = 2 sinh(t) (a) Eliminate the parameter to find a Cartesian…
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Q: Consider the function below. f(x) = √64-x² What is the Domain? What is the Range? Enter your answer…
A: Domain of 64-x2 :We must have 64-x2≥0So, Solution: -8≤ x≤ 8 Interval Notation: -8, 8
Q: (1) x² x² + 3 ſ dx
A: according to company rules,i have to solve one question when multiples questions are posted so…
Q: 17. Find the linear function f(x) that is parallel to 4x + 3y = 6, such that f(0) = 7.
A: Given function, 4x+3y=6, That is 3y=-4x+6 y=-43x+2 compare to y=mx+c Therefore m=-43
Q: Evaluate the definite integral: TT/2 Jπ/3 7 5 sin(x) 5 cos(x) - 1 - dx
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Q: A volume is described as follows: 1. the base is the region bounded by y=1−1/16x^2 and y=0 2.…
A: To find the volume of the object.
Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…
A: To find the inverse Laplace transform.
Q: ) . Is the differential equation linear? dy dt + y4 = x
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Q: Find the derivative of the function y=√4-3x.
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Q: -8 -4 Challenge #4 24 160 -8 0 -8 4 Plot four exponential functions. Each one should pass through…
A: we have to find the exponential functions passing through the blue point and the black point
Q: Find the product of (8 + 6i) and its conjugate. product =
A: solution:-the complex number is 8+6i the complex conjugate of 8+6i is 8-6i
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Q: Consider the following function. √x, (1, 1) (a) Find an equation of the tangent line to the graph of…
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Q: 2cosx cos2x+1 3. Prove that secx. Which double angle identity of cos2x did you use and why?
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Q: Suppose the Maclaurin series of a function is f(x)=2+3x+2x² + x³ + x² + .. Find the first four…
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Q: Please answer completely. Step by step. Evaluate. S (x-4) dx 2 x²+x-6
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Q: Tutorial Exercise Find the absolute extrema of the function on the closed interval. y = 6 cos x,…
A: Given that, the function is y=6cosx. Differentiate the function with respect to x as follows.…
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Q: 11. A rubber ball is dropped from a height of 5 feet and bounces to 1/3 of its height after each…
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Q: I 1. a) Describe the transformations that would map /(x) = logx to g(x)=3log[-2x]+1 b) State the…
A: We have to describe the transformation and mapping rule.
Q: Consider the vector-field F = (2 — ysinr − 1) + (cos x − y ). – - (a) Show that this vector-field is…
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Q: Problem #3: Consider the following statements. (1) Σ n=0 (-1)" 2n+1 X² (2n + 1)! = X- ∞ (iii) The…
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Q: Describe the x-values at which the function is differentiable. x² x²-9 y = y 2 N The function is…
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Q: 2. Find the area enclosed by T = @ cos 30-
A: We need to find area.
Q: Consider the following double integral 1 = ₂ x dy dx. By converting / into an equivalent double…
A: Given :- I=∫-33∫-9-x20dydx convert given integral to polar conversion
Q: 2x-4 x²-4x+3 1. Express the function f(x) fractions. Find the interval of convergence. = as the sum…
A: Here, the given function is: f(x)=2x-4x2-4x+3
Q: Find the limit. lim X-X lim X-8 sin 6x 5x sin 6x 5x = (Simplify your answer.)
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Evaluate the following: (with explanation)
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