(x+ct u(x,t) f(x- ct) +f(x+ ct)] + g(y)dy x-ct

Q: Find exactly T(t) and N() for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct answer.)…

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Q: Write an equation for the level surface of f(x, y, z) = r² + 10y? + 20z2 corresponding to the level…

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Q: Find the derivative of y sinh-(13x). (Use symbolic notation and fractions where needed.)

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Q: et +e-* find the length of the curve h(x) = from x = 0 to x = In 2. 2

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Q: Find the points on the surface 1x^2+2y^2+5z^2=1 at which the tangent plane is parallel to the plane…

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Q: Use the Integral Test to determine whether the infinite series E is convergent. (Use symbolic…

A: We have to find if the series converges.

Q: Use substitution to find the Taylor series at x=0 of the function e -9x. Choose the correct Taylor…

A: Explanation of the answer is as follows

Q: 7

A: We have to find out

Q: Given the function f(x) = 2x – 2, evaluate and simplify the expressions below. See special…

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Q: 2003 yo0, Find he Let, hC), 9 gph of h la) where the fangenf bnd is or2ontal where the foogen…

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Q: 3. Graph the function f(x) = 1 and estimate the area for -2 <x < 2 1+ x2

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Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series. 1 1 1 + 8 1 + +... p =…

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Q: Which of the following is NOT a correct way to express the vector v = (2,-4) a) 2î - 4 where î =…

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Q: Ise the function f and the given real number a to find (f-)'(a). (Hint: See Example 5. If an answer…

A: We have to find out the derivative

Q: Find the equation of the tangent line to the curve at the point (5,3) given that x2+xy+2y2=58

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Q: Find V (F × G), if F(x, y, z) = 11xi+j+3yk and G(x, y, z) = xi + yj – zk. V. (F x G) = %3D

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Q: h) (3X 9'+4y)dx + (3 X'9 +2x) dj = 0 I) sin X dy dx Sin 2X -y cos X

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Q: Find curl (3z i + 4x j+ 2y k). curl (3z i + 4x j+ 2y k) = ( Di + ( j +( )k

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Q: 2x² +2y? 11. Set up an integral that would calculate the volume of the solid bounded by the…

A: Given problem:- 11. Set up an integral that would calculate the volume of the solid bounded by the…

Q: Calculate the arc length of y = 3x + 3 over the interval [0, 3]. (Use symbolic notation and…

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Q: pind the area of an are petel of ra 8cos (30). petel is beunded by - Dend e= ņ Hint; one lineso2…

A: We have to find the area.

Q: From 1990 to 2000 the student tuition at a University grew from $12,000 to $18,000. (a) Using the…

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Q: f(r) = Va +4 – 2 Complete the following table and use it to approximate lim f(r) (Round to six…

A: The given function is: fx=xx+4-2   So, at x=-0.1 f-0.1=-0.1-0.1+4-2=3.974841 At x=-0.01…

Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). 13 r(t) = t²i + t'"j K(t) =

A: Find k(t).

Q: a) fr'(2+x*)'dx bf sin(nx) dx )fx* In xdx

A: According to guidelines  we must answer only three of multipart questions. Please resubmit the…

Q: Inn 1 1 1 1 + 25 1 1 a) Σ-(-1)" (- b) 1+ 4 1 + 64 n-Inn. 9. 16 36 49

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Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt the product directly and…

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Q: Consider the following. RX) = x In x², (-1, 0) (a) Find an equation of the tangent line to the graph…

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Q: an arithmetic sequence is 75 and the second term is 11 Find the first term.

A: Here I am providing the handwritten solution

Q: Sketch the region whose area is represented by the iterated integral. dyds un

A: Option C is correct.As lower limit in inner integration is tanx2 which you can see in the graph.if…

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular…

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Q: Evaluate the following limit. lim /x + 13 x-6 Select the correct choice below and, if necessary,…

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Q: A particle is moving in a straight line according to the position function s(t) = t³ – 61² +9t +5, t…

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Q: hW (3 Xy'a4Y) dx + (3 X*y'+2x) dy = o I) sin X dy - Sin 2X -y Cos X dx

A: Given

Q: Given the vector function ř(t) = (– 3t, 5t°, 2t° + 3) Find the velocity and acceleration vectors at…

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Q: 5. A ladder of length 4v3 metres is resting on a wall. The wall makes a 60-degree angle with the…

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Q: Let f a) Simplity the expression tlath), f() XRt 50C43. Using f loc)

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Q: Let f(x) = y = 4x² In(). Differentiate y = 4x2 In() with respect to x and simplify. + 4x2 )(()이) -A…

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Q: Find the inverse Laplace transform: 1 (s(s² + 1).

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Q: Determine

A: Given,             limx→1x2-4x+3x2-x

Q: Find the limit V1+t4 dt lim

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Q: Your are driving away from New Orleans. Your distance (in miles) away from New Orleans x hours after…

A: We have to find the value of x such that the distance form home is farthest.

Q: 5) FIND THE MACLAURIN MALLAL fOR SERIES fa)=x cos (2x) %3D

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Q: Find the arc length L of the graph of r(t). r() = r° i + 1 j+Vor k, 3 <t<7 L = i

A: Given problem:-

Q: ||r(t) x r"(t)|| ||(t)||' Use the formula K(t) to find k(t). r(t) = 4 cos(7t)i + 4 sin(7t)j+3tk %3D…

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Q: You've decided to sell sweatshirts for the upcoming game. You project that at a price of $30.05 per…

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Q: Complete parts a through c for the given function. f(x) = 4x° - 5x - 40x° + 5 on [-3,4] a. Locate…

A: Given problem:- f(x) =  4x5 -5x4 -40x3 +5 To find:- a). Critical points  b) Use the First Derivative…

Q: 8. Describe the type of indeterminate form. Evaluate the limit using L'Hôpital's Rule if necessary.…

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: Solve the following differential equations of 1 x’y" – 2xy' – 4y =

A: To find the solution of given differential equation.

Q: 2. Find S +l" dudy by first snitching the order of integration 4

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