x²-q² lim

Q: A surveyor standing 50 feet from the base of a large tree measures the angle as 73.8°. How accuratel...

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Q: (b) Given f(t) = sinh(-4t)U(t – Jand g(t) = sinh(-4t) + U(t –) where U(t – a) is the unit step funct...

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Q: 3. Assume f(x, y, z) = xyz. Find the directional derivative at point (2, 1, 1) in the direction of t...

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Q: -1 -1 -5 -3 -2 3 -2 -3 -4 lim f(z) For the graph above, find /() Select one: a. -1 O b.o C. -2 O d-3...

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Q: I need the answer quickly please

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Q: Compute the product AB by the definition of the product of matrices, where Ab, and Ab, are computed ...

A: Solve the following

Q: Consider the sequence defined by æo = 1 and for n > 0, an+1 = v2 . xn (a) Is this an implicit or exp...

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Q: 3. Compute an antiderivative F(x) of S- sin æ, if æ > 0 |1– a², if æ < 0 f(2) = such as F(T/2) = 0. ...

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A: Prove that :- cosh 3x=4cosh3 x-3cosh x

Q: Find the limit using L'Hopital's rule.

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Q: Solve the following differential equations. - y cos xy - 4x) dx + -- x cos xy + 2y) dy = 0 2x+3y 2x+...

A: We have to solve the differential equation

Q: Convert the point (r, 0, z) = 4, 2 to Cartesian coordinates. Give answers either as expressions, or ...

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Q: A student attempted to solve the inequality x+4/x-3&lt; 0 by multiplying both sides of the inequalit...

A: Given, a The inequality   x+4x-3≤0   ⇒x+4x-3×x-3≤0×x-3  ⇒x+4≤0  ⇒x≤-4  We have to find the correctne...

Q: (Question 9) No explanation necessary, only the 100% correct final answer, thanks!

A: The function is given by fx = 4x3-4x To evaluate: The expression relating small change in x and the ...

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Q: Find the tangent line to the curve (x-3y)²+8x+12=0 at the point where y=0

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Q: answer very quickly

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Q: 4. Find the V2 accurate to 6 decimal places using Newton's Method.

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Q: Use the vertical slide I need the answer quickly please

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A: As per our company guidelines we are supposed to answer only first question. Kindly repost other que...

Q: 123+5r'y+7z'y T'y'+1 The function f(z) is discontinuous at: Select one: O (-1,-1) It is continuous a...

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Q: q5

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Q: Evaluate theiterated integrals:

A: In this question we have to find integration.

Q: 3. Find the indefinite integral f æ(1 – a2) dx. Assume that we are only interested in the antideriva...

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Q: answer quickly

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Q: Consider the function f(x, y) = y° – 3yx² – 3y² (a) Find all the critical points of f. (b) Classify ...

A: Given:  f(x,y)=y3-3yx2-3y2-3x2+1 ...................................... (1) We have to find, Find ...

Q: y'-ylnx sin x a xe b. xe c. x Inx-x d. x e* e. None of the above

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Q: Test if the following series converge or diverge. Please write the test you will use and then perfor...

A: Solution of given series followed by comparison test of series. comparison test of series: If lim(n-...

Q: te dt lim 0 x-0 sin x =?

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Q: B. Test for exactness and solve. 1. (e* + Iny +2) dx + ;+ Inx + siny) dy = 0 2. 3y(x? – 1)dx + (x³ –...

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Q: Find dyldx by implicit differentiation. 9 + x = sin(xy²) dyldx =

A: The objective is to find the derivative by implicit differentiation. 

Q: Find the area bounded by the given curves and lines. Illustrate

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Q: Find r(t) u(t). r(t) = (5t – 4)i + + 2k u(t) = t2i - 4j + ék r(t) u(t) = the result a vector-valued ...

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Q: Illustrate and evaluate the area of the curves of the following.

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Q: (a) A population of a village grows proportion to its current population. The initial population is ...

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Q: Find the force on one face of a right triangle of side AB = 4 ft. and AC = 3 ft. submerged with AC v...

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Q: f(x) is continuous at x = 3. Check if this statement is true or false. (-2.x, f(x) = |-x² + 8x – 16,...

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Q: 7. Set up the integral in polar form that gives the area of the surface formed by revolving the circ...

A: We have to set up the integral in polar form such that the area of the surface formed by revolving t...

Q: simplify your answer to the form In(A)

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Q: (Question 12) Please answer parts A, B, &amp; C! Thanks!

A: The function f(x)=3e-x, a=0. Then we have to answer the following...

Q: Answer the following questions for the price-demand equation. p+0.002x = 50 (A) Express the demand x...

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Q: 4. For the function f(x, y) = exp (ax + by) find the maximal possible value of the directional deriv...

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Q: (a) Graph g(1) = 2–(÷)' and indicate the intercepts with the axes. (b) Use the graph to find the dom...

A: the given below graph is g(t).  

Q: Test if the following series converge or diverge. Please write the test you will use and thenperform...

A: The given series is: To find whether it is convergent or divergent.

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A: SOLUTION-

Q: What surface does the curve r(t) = -t cos(t), 121 -t sin(t), t) lie on? 121 1 x² + y? 121 Oz = 121/a...

A: First define the curve of the surface r(t) = &lt; x(t), y(t), z(t) &gt;

Q: Calculate the area bounded by the circle r=4sinx and the line x=pi/3

A: To find - area bounded by the circle and the line.

Q: answer quickly

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.