What is the minimum point of the curve y = x2 – 6x + 4? Solution must be in detail

Q: Given: (x - 2) - (y- 1) 1, identify the center, vertices, and foci. 4. 5

A: Hyperbola

Q: 2x find fz" a x dx

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Q: C. Find the derivative of each function. x' - 2x 3. h(x) = 4. F(x)=sin x- cos x- tan x tan x D.…

A: Follow next step

Q: A spherical snowball is melting.  It's radius is decreasing at 0.2 cm per hour when the radius is 14…

A: A spherical snowball is melting.  It's radius is decreasing at 0.2 cm per hour when the radius is 14…

Q: 14.What is the equation of the curve that passes through (1,3) , if its slope is given by 3x? at any…

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Q: Q+5x)e dx

A: To evaluate the given integral.∫2+5x ex3 dx

Q: In this question, you'll use the limit comparison test to determine whether 8n – 9n2 + 10 Σ an…

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Q: The graph below is comprised of transformation of tool kit functions. 5- 4 2 -6 5 -4 -3 3 5 -2 -3+…

A: Given query is to find the the function of the graph.

Q: *Sketch all appropriate regions or solids.* Evaluate the integral by using a Jacobian "…

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Q: Use implicit differentiation to find y′ for the equation below and then evaluate y′ at the indicated…

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Q: F(x, y, z) = (2xe*) i+ (2y + 3y?22)j+ (x²e* + 2y³z) k is conservative. Find a functionf such that F…

A: To find the function f  And then evaluate the line integral along the given curve.

Q: Find the gradient of the function at the given point. w = x tan(y + z), (6,15, -13) Vw(6, 15, –13)…

A: Gradient of a function f(x,y,z) is given by, ∇f=i∂∂x+j∂∂y+k∂∂zf

Q: Q)find the inverse Laplace transform -2P (P+1)* 2. (2) 2. (P²-1)2

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Q: Is y=e3x−2x−3 a solution to the initial value problem shown below? y′−3y=6x+7 y(0)=−2   Yes or no?

A: Yes

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: Given query is to find the component form of the vector.

Q: Suppose that f and h are integrable and that: i fx) = -1, f(x) dx = 5, h (x) dx = 4 ,Find: a. S–2…

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Q: 5. { xe*dx (1 + x32

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Q: 2x +1 The antiderivative of f (x): %3D is (x – 3) (x – 2) - - x- 3 A F(2) = 5 ln x – 2 +C - 3 B None…

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Q: Determine the area of the largest rectangle that can be inscribed in a circle of radius 5, as…

A: We have to find area of largest rectangle that can be inscribed in a circle of Radius 5 unit.

Q: - tanf/3x* + Im(5x*) - In(5x*) y(x) = tan3x² +

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Q: 1 Using the power series representation 5n with interval of convergence rE (-1,1), 1– 25 determine a…

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Q: ai (9x" –10) where "a" is equal to The antiderivative of f (a) = 4V - is F (x) = 30 (A B None of the…

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Q: 1) Find the derivatives of the following. Simplify your final answers. d) l(x) = tanh-1 x + In v1 –…

A: Part d,Given,           lx=tanh-1x+ln1-x2To find : Find the derivative of the given function.

Q: Find the interval of convergence of the series. (3x)" 2" n=1 (Use symbolic notation and fractions…

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Q: The function h(t) represents the height of a ball above the ground (measured in feet) in terms of…

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Q: 1. Differentiate the following with respect to the variable given. 1 cosx 2 sin x tan 2. Given the…

A: We can solve the given problem as follows:

Q: 1. A biker is 50 meters away from a pole. The biker starts to ride south parallel to the pole at a…

A: Solution is given below:

Q: x?y" – 2." 3 2xy' + + 2y = x° sin x

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Q: Use the Taylor series coefficient formula to determine the value of g(27) (0), where g(z) = (1+x² +…

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Q: The diagram below shows the curve with equation sin 0 <I< 2n. The shaded area A is the area under…

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Q: ax+b 3. The curve y = y%3D has a local maximum at (2,1). x2+3 Determine the values of a and b.

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Q: b) R(x) dollars is the total revenue from the sale of x television sets: R(x)% = 600x – 20 *3 i)…

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Q: A region bounded by f(x) = 2x-2, y = 1, y = 4, and x = 1 is shown below. Find the volume of the…

A: A region bounded by fx=2x-2, y=1, y=4, and x=1 is shown below.To find the volume of the solid formed…

Q: Find the gradient of the function at the given point. In(x² – y) – 3, (3, 8) z = 1 Vz(3, 8) = 2i

A: I have checked the work. Calculation is correct.

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = j + 3k v = i - 8j – k O parallel…

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Q: 2²dx Evaluate: 4 – x2 - A f (x) = 4 sin (5) + xV4- a2 +C 2 2 sin- () – xv4 – x² +C В f (x) = 2 ©…

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Q: Let f(x,y) = C be the antiderivative of F(x) = x<cos(2x), Determine the value of C if x = 35 and y=…

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Q: 1. Use calculus to find the area of the polygon with vertices (1, 1), (4, 0), (7, 1), and (7,2).

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: Use the definition of a logarithm to find the exact solution for 4 log (2n) - 7= -11

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Which of the following are equivalent to 5 · log (u-1/6)? Assume u > 0. 1 O log log (u/") 1 log (u")…

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Q: Use linear approximation, i.e. the tangent line, to approximate √81.1 as follows: Let f(x)=√x. Find…

A: Explanation of the answer is as follows

Q: Find the polynomial function f with real coefficients that has the given degree, zeros, and solution…

A: This question is based on roots of a function.

Q: Use implicit differentiation to find y′ and then evaluate y′ at ​(−3​,3​).   4xy+y+33=0       Part 1…

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Q: Determine the interval of convergence of the following power series: (x – 6)" V4n n=1 Answer: Click…

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Q: Evaluate: * - x3 f (x) = -3 ln (|1 – V) +C B None of the given choices f (x) = 3 ln (|1 – )) + C D f…

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Q: 21.Which of the following is a particular solution to the differential equation when x = e and y =…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: xcos-(x) If x =0.34 and y = 0.12, then value of C in the antiderivative of F(x)= is (use radian form…

A: If x=0.34 and y=0.12 then find the value of C in the derivative of function F(x)