a. Find the value of (k) that make fhe fimction contimuous at x = 0 3k -3 =0

Q: What is the maximum value of y = cos x. For -5 < x <? 1 2 O 1/2

A: Topic = Derivative

Q: Q5: a- Use two segment trapezoidal rule to integrate the following function numerically: f(x) =…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

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Q: 1 Find the interval on which the curve F(x): -Sa di is concave downward. 6+ 8t

A: Solve the following

Q: Find the modimum.rabe.f.change.of.f.( Sinxy ..P.(I,.0).and.the directiun.n whishuituernA

A: Maximum rate change

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Q: J32 For z = cos(x-4y) show that # дудхду 332 дугах

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Q: 26P Given that f: (0, )-R Such that f(x) = Inx why verfical asymptote at x=0 but ho hor120ntal at…

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Q: Q4: (a). Prove that u = 2x(1-y) is harmonic.

A:

Q: in hundreds of gatlons, the relative toequenly Tan be modelled by oSxSI し f(x)= くX<1.5 elseuhere :)…

A: Hi! Thank you for the question! Since the question contains four subparts and we are allowed to…

Q: Given the function f(a,9) = whose graph is shown belon. determine why the detnition of continuty at…

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Q: Find the value of c which satisfies the conclusion of Rolle's Theorem with the given f (x) =x- 3x,…

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Q: 8 Consider the function y= f(x)= a) Find the quintic (degree five) approximation to f(x) centered at…

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Q: Use the above to find a quadrature formula of the form f(x)dæ f (x)dx= i=0 that is exact for all…

A: Quadrature formula ∫01x1-x2fxdx=∑i=0naifxi Exact for all fx of degree three. fx=x0,x,x2,x3

Q: Consider the following algebraic functions. f(x) = Vx +2 g(x) = =x + 2 Sketch the region hounded by…

A:

Q: 3 B Consider the following function, z= x -2xyty't yn Lind the alues of ag Ddz,z,when redgyel dy 6.

A: Given : z = x2 -2xy + y3 + yw

Q: 1. Find grad f for the given function below. Ax, y, z) = 5xy + 3yz – 4zx

A:

Q: The absolute maximum of f(x) =x² – 4x on [0,3] is y= OA. OB. 4- o 3- OC. OD. 0.

A:

Q: Show that the subtangent of f (x) = ex is everywhere equal to 1.

A: Formula to find the subtangent of the function helps to find the required subtangent. Derivative of…

Q: attached

A: Linearization of f(x) at x=a is given by

Q: Find the orginal function of this A Fx) =-1 (B) Frz)= X +1 ニー re Fez) s -x+3 tan x - sec3x

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Q: 2-) [l,e] Find the area ot the reslon under +the f Cx) = Inx on the range

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Q: Suppose f is known to be differentiable and contains a local extremum at c, then which of the…

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Q: Q2/ Use the Simpson's and trapezoidal rules with n-8 to estimate f(x2 +2)dx and determine which rule…

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Q: Answer the following questions a- Show that fxy = fyx for the function f(x, y) = ().In(x) aw

A: We need to show fxy=fyx. As per Bartleby's guidelines we can solve one question from multiple…

Q: Given, f(x;x) = * – 2xy + 2y on the ractange o Find out the absolute minimum and Maximum values foro…

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Q: a. Find the value of (k) that make the fumction flk) = ,continuous atx = 0 +3k-3 x=0

A:

Q: Please see picture

A: Introduction:Here, MX (t) denotes the moment generating function (mgf) of the random variable X;…

Q: (Read the dėlihition Caleluny.) |x2, if x l; is differentiable at 1. 2x-1, ifx > I; 4. Prove that…

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Q: Given that f (x,y) = 6x2y3 - cosx + 5y2 - siny + 10x2 - e-3x ;   find  fxx ;   fyy   ; fxy ; fyx

A:

Q: If f"(c) = 0, then f(x) cannot have a local extremum at x = c.

A: We know, if f"(c) is negative then f(x) have local maximum at x=c and if f"(c) is positive then f(x)…

Q: 2i z f(2)%3D at zo = 1 23 – 1 ||

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q2 Find fr and fy for the following funetion: f(x,y) = + In(5x – 3y).

A: We find value of fx and fy of given function f(x,y)

Q: to determine if the 5.) Use the function, f cx) = 2 Detinition S x+3 is cont. a+ point of メー9…

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Q: Q2. Let f(x) - In(cos x) (i) Find the are length (ds) of the function

A: Given,                f(x) = ln(cos x) ⇒y=ln(cos x) ⇒ dydx=-sin(x)cos(x). And we have to find arc…

Q: (b) Calculate f(z) dz. (c) Why did we show that the right hand limits at 0 = 0 of the real and…

A: Let us start solving the problem step by step

Q: 9. 3x2 Let g(x) = -2x2 r<0 (b) Prove that q is not differentiable at 0.

A:

Q: Analyze the approximate value and the exact value for (7.2, 4.06) for the function z = x3y2 sin(xy)…

A: Given below clear explanation

Q: 19. Any rational function of the form f(x) where b 0, always has a y-interce %3D

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Q: Use the Intermediate Value Theorem to show there is a root of the given equation in the specified…

A: Intermediate value theorem states that if “f” be a continuous function over a closed interval [a, b]…

Q: Find y' of the following function using MATLAB y = sec(In(2M * x))e5x + cos(2Nx)

A: here we write the function in MATLAB and then by using the command  we can find the derivative of a…

Q: B) f(x) = x+3 (-6, 6<x<1 Is f cont. at x-6?

A:

Q: Determine the value of k such that f(x) = 4x - kx has a horizontal tangent at x = -1. %3D A 2 В -8 с…

A: Given Data The function is fx=4x2-kx. The horizontal tangent is x=-1.   Differentiate the function…

Q: Let be the square root function defined by 1 z² = √√√|z|e 2 Show that this function is discontinuous…

A: A complex number is an element of a number system that contains the real numbers and a specific…

Q: b. Find y' of the following function using MATLAB y = sec(In(2M * x))e5x + cos(2Nx)

A:

Q: (a) Find the are under the curve f(r) 9 - 22 over the specified interval of [0,3] with subinterval.…

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Q: 4) Let the curve c be given by the graph of the functionm y= {(x) withh tlx) = cosh x, %3D c)…

A: The curve of the function is given by, fx=coshx, 0≤x≤4To compute the length of the curve

Q: Let f (x) = In (x?) find the equati on oE the line tangent to the graphof f at (3, In(9)) (2) Find…

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Q: O De fine fG) in a way that extends g8) = X -3 to be continuows at x=3

A: It is continous function  problem.

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.