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Q: 8 1 3√x 1² O 0.5 O 6.5 O 4.5 O 0.5 dx

A: Given a definite integral ∫181x3dx We have to choose one of the given option solving the given…

Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then…

A: Split the function according to the limits

Q: Consider the function f(x) = 8(x - 3)2/3. For this function there are two important intervals: (-∞,…

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Q: S √√x+12 X S- dx using substitution. √√x+12 c. Verify that your answers to parts (a) and (b) are…

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Q: If {an} and {bn} are divergent, then {anbn} is divergent.

A: Given; (an) and (bn) are divergent.

Q: Calculus

A: Please refer to the image below

Q: Express the following function in terms of unit step function and hence find their Laplace…

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Q: Answer true or false. If £{f(t)} = F(s) and L{g(t)} = G(s), then ¹{F(s)G(s)} = f(t)g(t). True O…

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Q: Determine the smallest degree of the Maclaurin polynomial required for the error in the…

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Q: A triangle ABC has sides that is equal to 11m, 13m, 15m. find the length of median of the 11m-side.…

A: formula: ma = (1/2)2c2 + 2b2 - a2

Q: Find the solution of the given initial value problem in explicit form. y' = (1 - 11x)y², y(0) = - 4

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Q: Which are the foci for the hyperbola modeled by the equation (Y-32 (x-1)² _ -1? 36 13

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Q: Find a unit vector u in the direction opposite of v = (2,8,-3).

A: Solution ) v =  { 2 , 8 , -3 }   vector with same magnitude and opposite direction   = { -2 , -8 , 3…

Q: If a rock is dropped from a height of 197 ft, its poistion t seconds after it is dropped until it…

A: Given that,  Height from which the rock is dropped is 197ft Function defining position of rock at…

Q: KS Profiles Tab Window Help 6 Integrals Involving Exponer X +…

A: The given integral is xe-x^2.

Q: Determine whether the series Σ=1 (Limit Comparison Test) 2n²+3n √5+n5 converges or diverges.

A: Given :∑n=1∞2n2+3n5+n5

Q: (Q8.6) Choose five other iterated integrals that are equal to the given iterated integral. 10 10 10…

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Q: Determine whether the equation is exact. If it is exact, find the solution. (e'siny + 3y)dx -…

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Q: Evaluate the line integral curve C′ : x = 4 cost, y = 8 sint (0 ≤t≤7) NOTE: Enter the exact answer.…

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Q: Which if the following is a power series representation of the function - 1+x? f(x) = = +∞ Σ(-x" -…

A: Given: function f(x)=-1+x1-xwe know that11-x=1+x+x2+x3+..........=∑xn0∞where…

Q: log₁ (3)

A: The given logarithm log449

Q: hot (1603).png the given initial hot (1597).png Determine (without solving th Find the solution of…

A: Here we have to solve the differential equation.

Q: • . 19

A: the equation of ellipse is given  below

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 8x…

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Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral 00…

A: Graph of a function f(t) is given, we can deduce that the line from x=0 to 1 is linearly decreasing,…

Q: Ju ox Əv oy 으 0x1 10/24 0 어 xiye Ug xzty? zi @u + v = oxy UXO u ox + Ju ag - = U - (x+y? +c)2c +…

A: Differentiate partially with respect to x and y

Q: company

A: Please refer to the image below

Q: Given: f(t) = 3t4 + 6. Evaluate: F(3) Use 2 decimal places. 2.30

A: Here we have to apply laplace transform.

Q: Evaluate the integral (8 (8x+15y)dx + (27x - y)dy along the parabolic arc y = x² from (0,0) to…

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Q: Find an equation for the conic that satisfies the given conditions. ellipse, center (-1, 3), vertex…

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Q: 14. est 3 comment The critical numbers x = -7 and x = 5 are found from a continuous function f'(x).…

A: The critical numbers x=-7 and x=5 are found from a continuous function f'x f''(x)=1-x3x+6

Q: Answer true or false. If L{f(t)} = F(s) and L{g(t)} = G(s), then ¹{F(s)G(s)} = f(t)g(t). O True O…

A: The given data is: Lft=Fs and Lgt=Gs, then L-1FsGs=ftgt is true or false.

Q: Solve: y" + 4y = x² + ex Yc=C1+C2_ Type the letter corresponding to your answer. Yp=A A_____ B с = A…

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Q: Find f such that f′(x)=8x​, ​ f(4​)=47.

A: Given, f′(x)=8x​,​ f(4​)=47.

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 4x + 11 between x =…

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Q: Find a power series for the function, centered at c. 8 5-x £( n = 0 f(x) = C = 1 Determine the…

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Q: Given the function below f(x) = -324x³ + 1053 Find the equation of the tangent line to the graph of…

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Q: 2. Find the equation of the tangent to the functions g(x) = (x −4)² at its y-int. You must use an…

A: Solution:

Q: If u = X + y+z a) 0 y 2+x ди + then the value of x x+y x b) 1 c) u d) None ax +y + ay +2 ди əz IS:

A: Question - 21 Given, u=xy+z+yz+x+zx+y To find, x∂u∂x+y∂u∂y+z∂u∂z Formulas used:…

Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

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Q: In each part, use the given information to find A. (7A)-1 (b) (7A) -3 [] -2 = (d) (/+2A)-! = 2 4 5

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Q: Equations of the form r=a sin (m0) or r= a cos (m0), where a is a real number and m is a positive…

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Q: Which of the following is not a unit vector? 2 A. • (-3/35.0,-/) √5' √5 B. (cos 1, sin 1, 0) C. (1,…

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Q: Find the minimum value of the function f(x) = 2x² +18.3x + 45 to the nearest hundredth. Answer:…

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Q: f(x) = 2x^3 − 3x^2 − 18x − 8 Factor f(x) into linear factors. Don’t forget to include the leading…

A: Please see the below picture for detailed solution.

Q: Which of the following is true when a plane intersects a cone to form a parabola? The plane slices…

A: The objective of the question is choose the correct option to make a parabola

Q: Screenshot (1603) Screenshot (1597).png Solve the given differential equation. All solutions should…

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Q: 4 Find the arc length of the curve the interval 2≤+ ≤ 5 3 given parametrically by x= 3 + ² y = + ²,²…

A: To find out the arc length of the curve.

Q: Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = (t + 1)³ L{f(t)} =

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Q: 7. Evaluate I = S ads, where S is the part of the plane x+y+z = a lying in the first octant.

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