Evaluate the limit using L'Hopital's rule. Enter either a reduced fraction or DNE. lim 7 cos(-5x)sec(9x)

Q: Find div F and curl F if F(x, y, z) = 7evi-4 cos yj+ 10 sin² z k. div F= curl F

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Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral Lif(t)}…

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Q: 2. The table shows values of the function y = G(t). Use the table to estimate the value of 50…

A: Physical significance of integration is calculation of area under the curve. Here discrete values at…

Q: Find div F and curl F if F(x, y, z) = 10y³zºi – 8x³z¹ºj – 5xy³k. div F= curl F=

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Q: Find the first partial derivatives with respect to x, y, and z. f(x, y, z) = 2x²y - 5xyz + 10yz²…

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Q: Evaluate the line integral along the curve C. S-Tabe − ydx + xdy, C: y² = 3x from (3,3) to (0,0) O O…

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Q: f(x) =  4x x − 2 where h ≠ 0 f(a + h) − f(a) h  =????

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Q: Use the Laplace transform to solve the given initial-value problem. y"" + 2y" y' - 2y = sin(4t),…

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Q: Answer true or false. The function f(t) = (et) 10 is of exponential order. True False

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Q: -9-8-7 6 5 4 3 C Ce N f 5 w N www T P Mar www ww S d Write an equation for the ellipse graphed in…

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

A: A vector v whose magnitude is 1 is called a unit vector. A vector v whose magnitude is any positive…

Q: Which of the following represents the graph of (x + 2)² = 4y - 6)? O -83 4 ry 14 11 10 9 8 " 5 4 3 2…

A: The given function is x+22=-4y-6

Q: and a "0" to be false. P 1 1 1 1 0 0 0 0 q 1 1 0 0 1 1 0 Write a truth table for the proposition:…

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Q: Evaluate: O 3 0 S''(√ri+ - i + ln(2) j+ 4 1P ( 1 , 2 + (1+1) 1] (-1) ² e 3 0 2 + + m (2) 1 + (1 - 1)…

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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: ind V. (V × F), if F(x, y, z) = = V. (V X F) = ezi+ 6xe¹j - 3ek.

A: Topic:- vector algebra

Q: Let vector A = and vector B = . Determine the vector projection of A onto B.

A: Topic:- vector algebra

Q: and the first partial derivatives with respect to x, y, anc 5xz x + y W W W || II || W =

A: Topic:- application of derivatives

Q: Question Use an appropriate linear approximation to estimate √8.95. (Round your answer to three…

A: Concept: Linear approximation: The definition of a linear approximation of a function is simply…

Q: hraj h(x) = 3x-2 x347

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Q: Consider the following. Find its foci. Find an equation of the ellipse. smaller x-value 2 larger…

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Q: Below is the function f(x). 6 5 54 63 2 " 7 6 5 4 3 2 -1 3 27 7 4 4 5 -2- -3 -5- 1 2 3 4 5 6 7 -7…

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Q: Find ▼ × (V × F) if F(x, y, z) = 10xyj + 5xyz k. ▼ × (▼ × F) : =

A: To find ∇×∇×F if Fx, y, z=10xy j+5xyz k.

Q: ← + Ⓒ Screenshot (1909).png + New ▶ My Drive ▶ Co Computers Shared with me Recent Starred Trash…

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Q: enshot (1603) Solve the given differential equation. All solutions should be found. (3y² + 2xy) dx −…

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Q: Find the area of the region bounded by the following curve. The limiçon r= 6-4 cos 0

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Q: 1 *{{37² +3=6} S

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Q: 1 2.5" y 3" 6 -Х

A: Given data:-

Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

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Q: Fill in the blank. (Enter your answer in terms of t.) 1 "ਜ + na =

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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: 6. Find the y" + y = sec³ x; y(0) = 1, y'(0) = 1. -√2 value (7) for a solution (x) to the initial…

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Q: Find V (V x F), if F(x, y, z) = 6ei +9rej - 7ek. V. (V x F) =

A: To find ∇·∇×F, if Fx, y, z=6exz i+9xey j-7eyz k.

Q: If r(t) = (t5, t, t²), find r'(t), T(1), r”(t), and r'(t) × r"(t). r'(t) = T(1) = r"(t) r'(t) x r(t)…

A: Given :rt=<t6, t, t2>

Q: 12. Find an equation of the line tangent to the curve at the point corresponding to the given value…

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Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

A: here the given differential equation  (6 -20y +e-5x)dx -4dy = 0 this can be written as  dy/dx +(5)y…

Q: Find curl curl (5z i + 6x j + 8y k) i 5 i i 6 (5z i + 6x j + 8y k). 8 = ( )i + ( )j + ( )k

A: Given that a vector 5z i^ + 6x j^ +8y k^ We have to find a curl of this given vector. Curl of a…

Q: Find the limit lim x →∞ √1+ 2x + 9x² -2x + 5

A: This question is related to limits, we will solve it using given information.

Q: Question iven f(x) below, find f'(x). rovide your answer below: f'(x) = f(x) = - Scot ² COS t³ dt…

A: We have to find derivative

Q: 3. Pedro walks at te speed of 40 meters/min from the school to home, by taking the longer route of…

A: Pedro walks at the speed of 40m/min from the school to home,by taking longer route of 100 m to the…

Q: 2 Short response Question 9. (Some formulas from Euclid in coordinates) Include pictures for each…

A: (1) d(x) = (x-a)2+(mx-b)2 we know the distance between (x1,y1) ,  (x2,y2)  is x2-x12(y2-y1)2

Q: If the angle creates the point Give exact values. No decimals allowed! If the value doesn't exist,…

A: Given that the position of point on unit circle is -223,-13 making an angle We need to find the…

Q: Let y Ay - 5x² + 8x + 4. If Ax = 0.4 at x = 5, use linear approximation to estimate Ay I Submit…

A: We know that ∆y=f(x+∆x)-f(x). So,             ∆y=f(x+∆x)-f(x)      =f(5+0.4)-f(5)      =5·…

Q: Answer true or false. The function f(t) = (et) 10 is of exponential order. O True O False

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Q: 2. (2xy-tan y) dx + (x²-x sec² y) dy Answer: x²y - x x tan y = C. = 0

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Q: Determine the y-coordinate of the centroid of the shaded area. bl. | x=y²/b b Answer: y = i 0.48b MI…

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Q: x²+xy 20. If f(x, y) = x-y -, (x, y) = (0,0) 0, (x, y) = (0,0) Then the value of fx (0,0) is a) 0 b)…

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

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

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