etermine from the graph whether f has a minimum in the open interval (a, b). (a)

Q: Find the vector v with the given magnitude and the same direction as u Magnitude Direction ||v || =…

A: u=0,5,5u=5j+5kFirst convert vector u into unit vector.uu=5j+5k52+52uu=5j+k252uu=5j+k52uu=j+k2

Q: 18. x² Cos(xe) find Taybrs Series using power X=0 Series operations.

A:

Q: fully continuous for all x E R by use of the product rule differentiate the function f{x} = x3e-4x

A:

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A:

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A: Antiderivative

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A:

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A: For function to be harmonic, del^2(U) = 0.

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A: Find the x component and y component of each vector and then add them.

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A:

Q: find the derivative of the following functions using the basic differentiation rules. use the proper…

A: Part a,Given,            fx=14x

Q: The age T, in years, of a haddock can be thought of as a function of its length L, in centimeters.…

A: Given problem:- The age T, in years, of a haddock can be thought of as a function of its length L,…

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A:

Q: . Evaluate the limit of a function using the concept of Special Limits. et-1 t2-3t+5 + t2-1 1. lim t

A: Given that a limit problem and we solve this problem by using general property of limit.     Here i…

Q: Find the exact area of the surface obtained by rotating the curve about the y-axis: y = 3 + 5x2 ; 3…

A:

Q: 1. y = 8x5 - 2021, 5th derivative 2. y = x5 - 3x4 + 6x³ - 9x² + 12x - 15, 4th derivative 3. y = 2x2…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: 4. Use §4.4 guideline to sketch the curve: y = x- 4x/3. A). Domain, Symmetry, Asymptotes,…

A:

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Q: Using the simplex method solve the linear programming problem. maximize z= 8x1 + 10x2 + 7x3…

A:

Q: A. Evaluate the limit of a function using the concept of Special Limits. sin2t t3 sint 2. lim

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Q: 1-х 3 c) y = xx

A:

Q: Find the component form of v given the magnitudes of u and u + v and the angle axis. ||u || = 1, 0 =…

A:

Q: 10. What value of k makes the function {2x - (4(x + k) if x > 2 if x <2 f(x) continuous at x = 2? А.…

A:

Q: Let C be the triangle with vertices at (0,0), (1,0), and (1,1) oriented counterclockwise. The vector…

A:

Q: Late dx sec2 x (b) [*. dx /1 – tan² x VT(x+4) |

A:

Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

A:

Q: 1 dx V1-x

A: We can find the integration as below.

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A: To find divergence of the given vector field at (1,-1)

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A: Given query is to find the maximum profit and the time when it occurs.

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A:

Q: Differentiate the function. y = In(|5 + t - t31) y' = ||

A: Given query is to find the derivative of the expression.

Q: Use the first principles definition to determine the derivative of the following quadratic function:…

A:

Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos³(x) for x = 0.669 and y =…

A:

Q: 4. j(x) = x² sec x %3D

A: We can solve question no 4 as below.

Q: x-4 17. f(x)%D at x 1 x-2

A: Given problem:- f(x) =(x2 -4)/(x-2)  To find:- Check Function continuous at x=1

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A: Solution is given below:

Q: Determine the value of C in on the antiderivative of F(X) = sin (x)cos"(X) for x = 0.106 and y =…

A:

Q: an-(2x)dx (Use 2 decimal digit) Let x = 0.37 and y = 1.03. Determine the value of C when you…

A: We will find c.

Q: Find the area enclosed by one loop of the curve: r = 3sin(4theta)

A:

Q: In what way derivative useful to you?

A: Derivatives are used in a variety of subjects, including science, engineering, physics, and others,…

Q: II Evaluate the following by simple substitution: (x+5x²+4xY X-1 2. S sin24xcos4xdx

A: 1.∫x3+5x2+4xx-1dx Let x-1=t ⇒dtdx=1⇒dx=dt So, x=t+1 Now x3+5x2+4xx-1=(t+1)3+5(t+1)2+4(t+1)t…

Q: {an} = {2(-1)"+1}

A:

Q: 3. Find the interval fconvergence of the Sevies : 1-3(x-4) + 9 x-4)-..

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Q: Is this correct? Kindly check please

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Q: 4. Find the general equation of the plane passes through the points (3,2,1) and (3,1,–5), and is…

A: We have to find the plane equation

Q: Directions: Determine whether the given functions is continuous, differentiable, neither, or both at…

A: d) The graph is continuous.Since there is a sharp point at x=0.So, it is not differentiable.It is…

Q: The integral expression J xcos-(2x)dx can be evaluated using integration by parts of the form Judv=…

A:

Q: Find an equation of the tangent line to the curve at the given point. y = In(x² – 6x + 1), (6, 0) y…

A: As per guidelines we have to solve one question Please repost other questions again

Q: 20. What is the equation of the tangent line of f(x) = Vx = 4? A. x - 4y + 4 = 0 B. x + 4y -4 = 0…

A:

Q: The linear approximation at r 0 to sin(2r) is A+ Br where A is: and where B is:

A:

Q: Find the angle e between the vectors in radians and in degrees u = cos()i + sin()i, v = cos( )i +…

A: Answer as follows