Find the Taylor series for f (x) centered at the given value of a. f (x) = cosh x , a = 1.

Q: Find two positive numbers satisfying the given requirements. The product is 172 and the sum is a…

A: We find two positive number that product is 172 and sum is minimum.     Here i attached the solution…

Q: A rectangle is bounded by the x- and y-axes and the graph of y = (6 - x)/2 (see figure). What length…

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Q: S 7" Зи + 12 1 8.

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Q: Make the u-substitution 1– u? 1+ u? to convert the integrand to a rational function of u, and then…

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Q: write the sum in summation notation, using the given lower bound   1/2+2/3+3/4+4/5+5/6=

A: Given:  12+23+34+45+56 If we see the pattern we can say that numerator and denominator of the nth…

Q: Find the vector

A: The vector r=<a,b> is written as, r(i)=ai+ bj

Q: Directions: Solve the following using the theorems on differentiation. 1. Evaluate x5dx 2. Evaluate…

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Q: 2. [ID # ending in 4 or 7] 2 av Determine (+) ax if v csch y = e*x² . дх ду ду

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Q: Let C(x)= x2+4x+1 dollars be the cost function, where the x represents the quantity. The estimate…

A: Cost

Q: A conical surface is defined as 0 = 30°,0 < y< 2n,0<r< 2, the lateral surface area is what?

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Q: Given the equation x In(y) dz = z Arctan(3y). Assuming z as a function of variables x and y, find ar

A: To partially differentiate the function z with respect to x.

Q: Find two positive numbers that satisfy the given requirements. The sum is S and the product is a…

A: Given that the sum of two number is S

Q: Solve the differential equation dy 1 dx Зу3 By the method of separating the variables

A: To solve the given differential equation.

Q: Solve of the following equation 4 y' +y = x'y? Given by x3 In x – c -x3 In x + c O Option 1 O Option…

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Q: 9-7 (d) xydzdydr

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: (5) Find the volume of the wedge in the first octant that cut from the solid cylinder x² + y? < 4 by…

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Q: Find the linear approximation of the function f (x,y) = ln (x - 3y) at point (7,2).

A: To find the linear approximation of the function fx, y=lnx-3y at the point 7, 2.

Q: Differentiate the following, and simplify: a) y = x'e* b) f(x) = 2" + 7** evi c) g(1) = 1+ev

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Q: 1. Find the first partial derivative of z with respect to x if x'y+ y°z+ z'x = 11.

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Q: Find and classify the critical points of f(z) = 82°(8 - z)7 as local maxima and minima. %3D Critical…

A: Critical points are the points of a function where the derivative does not exist. local maxima: the…

Q: Q2// Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0

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Q: 5. Does the function f(x) = e2x - 2x have any points of inflection? Justify your answer.

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Q: Q2// Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0

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Q: g expressions a. lim (2z - 1)(2-1)

A: Given : apply chain rule    find limit of about separately

Q: Name:Y Varner 1. Find the antiderivative of the function |4x – 2x² + x – 5 dx Jar - 20* 2. Evaluate…

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Q: Consider the parametric curve defined by x = t – 7, y = t* + 13t. What is %3D - the slope of the…

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Q: 3. Write equation of the tangent line to the graph of the function f(x) = ecosx at one of the values…

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Q: WHAT IS -1- ?

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Q: Consider the polar equation defined by r = 5 cos(2 sin 6), where 0<0< 27. Determine the missing…

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Q: 15 17 23 28 ? 40 28 8 3 12 13 2.

A: Consider

Q: Given the equation r In(y) = z Arctan(3*y). Assuming z as a function of variable dz and y, find

A: The given equation is xln(y)=ztan-13zy ........................................ (1)  Here z =…

Q: a²z Determine if z = tan- + r2+02° r

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8ry 2y+1,…

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Q: Without eliminating the parameter t, find a Cartesian equation for the line tangent to the curve C,…

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Q: 2 4

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Q: Question 5 Find the volume of the solid that results when the region enclosed by the given curves is…

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Q: ft? How fast is the balloon's radius increasing at the instant the radius is 2 ft? A spherical…

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Q: Find the local linear approximation L (x) of the function f(æ) = 5 – a² at x= 2.

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Q: Use L'Hôpital's rule to evaluate the following limit sin(x) lim

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Q: Sketch the graph of the cardioid r = 1 + cosθ and the circle r = 3cosθ. Shade the region that is…

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Q: The particular solution of the following equation by using the method of undetermined coefficients 2…

A: A detailed solution is given below.

Q: Find the eccentricity of 8x 2 + 6y 2 - 32x + 24y + 8 = 0. 2 1/2 2√7

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Q: Q2// Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0

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Q: Vector Calculus Given, A = 2? zi – 2y32j+ x} zk. Find divA at the point (1, –1, 1).

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Q: Graph the following function by using a convenient method. y = -3cos(30° - x/3)+ 7

A: This is a graph function

Q: The volume V of a right circular cylinder is given by the formula V= Tr h, where r is the radius and…

A: Given that the volume V of a right circular cylinder is given by the formula V =(pi)r2h, where r is…

Q: Use Newton's method to approximate a root of the equation z + c + 3 - 0 as follows. Let I, = -1 be…

A: Let's find.

Q: Find dy/dx: rsinx 1. у %3D Sm* 3t2 dt

A: I am attaching image so that you understand each and every step.

Q: Given that å = i+ 53 -3k and b = 3ỉ – 23 +k are vectors in 3D. Find the value of ả x b and b xả…

A: Given; a→=i→+5j→-3k→, b→=3i→-2j→+k→

Q: 6. During the worst 4-hr period of a hurricane the wind velocity in miles per hour is given by v =…

A: The average value of the function is given by;0≤t≤4v(t)=1b-a ∫abv(t) dt     =14 ∫04(5t-t2+100) dt