Is the function a power function. If it is, write it in the form f(x) = kxP, and state the values of k and p. If it is not, type N for the values of k and p. 6 f(x) = C... What is the value of k? Type N if the function is not a power function. What is the value of p? Type N if the function is not a power function.

Q: Determine whether the differential equation -dx = e* is x' +1 separable or not. If yes, solve it.

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Q: 3. Find an equation for the parabola with directrix at r = 3 and focus (-1,-1). Find the two latus…

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Q: roblem 5. A cup of coffee has temperature of 200 degrees Fahrenheit and is placed in a room that has…

A: Topic:- Newton law of cooling

Q: {In (n+10) – In (n+5)}°

A: an =ln(n+10)-ln(n+5)an =lnn+10n+5limn→∞ an =LIf the limit exists and finite, then the sequence is…

Q: 1. Sketch the graph of r = 6/ (3 + 3 cose).

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

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Q: Given that ü = and i = and that üoi = 530 determine the value of the constant A. Yanıt:

A: This question is based on Dot product.

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: 3. Find the area bounded by a curve y? = 6x + 36 and the y - axis 4. Find. the area bounded by y =…

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Q: Let f(x) = -0.4x² + 7x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

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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: . Write both an absolute-value and a piecewise function to represent the graph.

A: 5. Absolute function  take graph of f(x)=|x|shift graph 3 units to right and 2 units…

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Q: Question Suppose that you are estimating sin (0.3) using the third Maclaurin polynomial for sin (x).…

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Q: Let C₁ be the curve with parametric equations I= cost, y = sint -t, where t € [0, 1]. (a) Find the…

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Q: Find the exact length of the curve. y2 = 64(x + 1)3,   0 ≤ x ≤ 1,  y > 0

A: Given,             y2=64x+13 , 0≤x≤1 , y&gt;0To find : Find the exact length of the curve.

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Q: 1 lim (x² –1)sin x+1

A: To find out the limit.

Q: 47-48 Find equations of the tangent line and normal line to the curve at the given point. 47. y =…

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Q: . Consider the polar curves C1:r= 3 sin20 and C2 :r = 3 cose, and let R be the shaded region as…

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Q: f(x)=x√ 36 = x² ntercepts (x, y) = (x, y) = (x, y) = elative minimum (x, y) = elative maximum (x, y)…

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Q: +² = x² dx

A: We have to solve the given differential equation

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A: A detailed solution is given below

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A: Given query is to find the population in 2026.

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.

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Q: // Find the Area bounded by: x = -y2 and x = y- 2

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Q: n 9 = k=1 Note: Your answer should be in terms of n.

A: Solve the given

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A: Given problem:- A cardboard box manufacturer wishes to make open boxes from rectangular pieces of…

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Q: Evaluate the definite integral. 18t (elst i+e¹j+t k)dt S (¹²¹ ₁+ (e-1) i-(¹-1) j+k els 1 - (e¯¹ − 1)…

A: Follow next step

Q: What are all values ofk for which x'dx = 0?

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Q: 1) Evaluate lim -12. 3 9-x2 -3 Show every step.

A: lim  (-12)*(-x - 3)*3/(9 -x2 ) x-&gt; -3 here 0/0 form so we use law hospital rule diffrentiate…

Q: 8. 8 If , f(x-c)dx = 5 where c is a constant, then f (x)dx= -c

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Q: Given the three vectors å ,b and ở in 3D. The following question is t termine if operation involving…

A: We can solve this as follows:

Q: Refer to the graphics addendum (A). The impedance shown is connected in a O Red leg Delta…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 8 1 = lim t+x6t²+7'2t (?, ?)

A: Explanation of the answer is as follows

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

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Q: n of Calculus to find the derivative of the

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

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Q: Find T(t) and N(t) at the given point. r(t) = 8 cos(t)i + 8 sin(t)j; t = 1|3

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Q: Let the graph below represent f(x). For which values of x is f(x) increasing? 20 16- 12- -5-3-2 8+…

A: The graph of the function f'x is To evaluate: The values of x for which fx is increasing.

Q: A teacher has prepared 20 mathematic and 30 geometric and 25 physics questions for a test he can…

A: This question can be solved using the concept of combination.

Q: Evaluate y' of the given functions: 1 Find y"'for y (x+4)3

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Q: The average cost for a company to produce x units of a product is given by the function A(x) = The…

A: A(x) represent the average cost.A'(x) will represent change in the average…

Q: Find dy/dx: 1. у %3D Vu du

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Q: 1 dx x+1 1

A: Evaluate improper integral