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Q: x+1 Determine where the function m(x) = - is continuous. (x - 1)(x– 4) The function is continuous on

A:

Q: 1 Evaluate f - dz over the unit circle in counter-clockwise direction using the parametriza- tions

A: To evaluate, ∮1zdz over the unit circle counter-clockwise  

Q: Theory and Examples

A: Given limx→-2 f(x)x2=1

Q: Write an equation that defines the exponential functionwith base a> 0 ) What is the domain of thi...

A: Equation that defines the exponential function with base a>0 can be written as following: y=ax,a&...

Q: If y = |x + 1|, find the value of y that corresponds to values of x for each integer starting with -...

A: Given y=x+1 We know that a≥0 We have to find value of y for corresponding to x for each integer from...

Q: Which of the following functions are continuous for all real numbers x? 1 y I. II. y = 2* III. y = s...

A: y=1x does not at x=0. Because 10 is undefined.y=2x this function exists for all real values of x. y=...

Q: Draw the angle -2π/3 in standard position.

A: To Draw: Angle -2π3 in a standard position. Concept: i. Co-terminal Angle: Co-terminal angles are an...

Q: For the function  Y=(x^2-8x)/(x^2+7x) at (5, -1/4) find the following. (Give exact numbers. Do not r...

A: Given data:   The given equation for the curve is y=(x2-8x)/(x2+7x). The given point is (x1, y1)=(5,...

Q: find dy/dx by implicit differentiation x2y2 = 1

A: According to the question, we have to find the differentiate x2y2=1 by implict differentiation, Impl...

Q: Using a Differential as an Approximation f(x, y) = x cos y, find f (2, 1) and f (2.1, 1.05) and calc...

A: the given function is z=f(x,y)=xcosy  

Q: Determine where the function F(x) = , 7x is continuous. x* + 49 The function is continuous on (Simpl...

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Q: Find the derivative of the function using the definition of derivative. f(t) = 5t - 3t2 %3D f'(t) = ...

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Q: Verify that the given function is a solution of the differential equation that follows it. Assume C,...

A: given: the function yx=C1e-x+C2ex the differential equation is y'(x)-y(x)=0

Q: Calculus Question

A: Let's take the it is of the form y=ax2 +bx+c from the graph, you can see that it's concave upward s...

Q: Please walk me through the steps

A:

Q: The area of the region in the xy-plane enclosed by the x-axis, the curve y = f(x), f(x) 2 0, and the...

A: given: a function y=f(x), f(x)≥0. the area of the region in the xy plane enclosed by the curve y=f(x...

Q: 2. Find the equations of both the tangent lines to the parabola y through the point (3, 16). :-

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Q: Determine the amplitude and period of y = -4cos ᴫx/2. Then graph the function for -4 ≤ x ≤ 4.

A: Given y=-4cospix/2 . We need to find amplitude and period of the wave. The general representation of...

Q: A cir

A: It is given that the centre of the circle is -1, 5 and the radius of the circle is 6 units. Sice, th...

Q: The cost (in dollars) of producing x units of a certaIH COn (a) Find the average rate of change of C...

A:

Q: Solve each equation. 1 - 2 sin2 u = 0, 0 … u 6 2p

A: 1-2sin2u=0 , 0≤u≤2π

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence con...

A: an = −3−n We need to determine the convergence or divergence of the sequence with the given nth term

Q: Changing order of integration Reverse the order of integration in the following integral.

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Q: Area of a parallelogram Find the area of the parallelogram that has two adjacent sides u and v.     ...

A: Given the two adjacent sides of a parallelogram are u=8i^+2j^-3k^ and v=2i^+4j^-4k^. Area of paralle...

Q: Find the volume of the solid obtained when the region under the curve y = 7 arcsin(x), x 2 0, is rot...

A: Given y=7sin-1x , x≥0

Q: Two circles pass through each each other's centre. If an arc of length l of the first circle subtend...

A: Given Two circles C1 and C2 passes through each other's Centre. An arc of length 'l' of the C1 subte...

Q: Errors in approximations Suppose f(x) = Vr is to be ap- proximated near x = 8. Find the linear appro...

A: Linear approximation of f(x) at x=a is, L(x)=f(a)+f'(a)(x-a) Given that f(x)=x3=x13

Q: question 52 please

A:

Q: I am unsure of how to solve this problem. Any help is appreciated. Thank you.

A: use the given definition to determine f'(x):

Q: How am I suppose to find the derivative of this?

A: g(x)=ex2sin-1x We need to find the derivative of the given function.

Q: Refer to the figure and carry out the following vector operations.

A:

Q: 36 please

A: Given rt=cost i +sint j +2t k  ,  t=π3

Q: 5. lim tan x cos y = 1 (x,y)→(,0)

A: To show :  lim(x,y)→π4,0tan x cos y = 1

Q: 3. The Squeeze Theorem states that if f(x) < g(x) < h(x) when r is near a and lim f(x) = L = lim h(a...

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Q: The unit circle that follows has been divided into twelve equal arcs, corresponding to t-values of 0...

A: The unit circle that follows has been divided into twelve equal arcs, corresponding to t-values of 0...

Q: Differentiate. 7x y = e* y' =

A: We have to use u/v rule here (u/v)' = (u' v - uv')/ v2 Here u =7x v= eX

Q: Calculate two iterations of Newton's Method for the function using the given initial guess. (Round y...

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Q: Determine the first four terms of the Maclaurin series for sin 2x (a) by using the definition of Mac...

A: (a) Calculate the derivative for f(x) = sin(2x) and the the value for the derivatives till 8th order...

Q: Find the derivative. g(x) = (4x – 2)° – Vr + 8

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Q: ds where t+s = 2s . dt Find %3D 6.

A: t+s=2s

Q: Use the definition of continuity to determine whether the shown is continuous at a = 2.

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Q: Differentiate. f(x) = x2 sin(x) f'(x) =

A: The function is fx=x2sinx.

Q: For an unknown function y = g(x), we do know that g(7) = -2 and g'(7) = 4. Write down the equation o...

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Q: Which one is a formula for the tangent vector of a curve r = r(t)? | ||" (1)|| du a r' (u) du | dT d...

A: The given expression of the curve is, Differentiate the above expression with respect to t.

Q: A body moves on a coordinate line such that it has a position s=​f(t)=t2−8t+7 on the interval 0≤t≤7​...

A: Given: A body moves on a coordinate line such that it has a position s=​f(t)=t2 −8t+7 on the interva...