Fast pls solve this question correctly in 5 min pls I will give u like for sure Nidi What is the minimum vertical distance between the parabolas y=x^(2)+4 and y=2x-x^(2) ?

Q: ㅠ Let D be an ellipse rotated counterclockwise by radians, as pictured below. Before rotation, the 6…

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Q: [18-R] [CLO 15] Suppose that f is a function. Give a formula for a function g, which is identical to…

A: Suppose that f is a function and a funtion g, which is identical to f , but translated 3 units to…

Q: 7. f(x)=√x, √√x, a = 1

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Q: Find the cross product a x b. a a = (t, t², t³), b = (1, 4t, 9t²)

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Q: Find the derivative of the function. sin(x) X f'(x) = f(x) =

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Q: 1. Find the first line ONLY of the derivative showing the product rule. a) y = (- 2x¹ + 2x³ - 8)…

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Q: Find nd [(5x + 2y)dA where R is the parallelogram with vertices (0,0), (-4,-2), (-1,4), and (-5,2).…

A: We need to solve integral.

Q: 6) lim X-0 x3 - 6x +8 X-2 A) -4 B) 4 piecewise function is given. Iso the mu C) 0 D) does not exist

A: limx→0x3-6x+8x-2

Q: Consider the given vector field. F(x, y, z) = xyz i-x²y k (a) Find the curl of the vector field.…

A: Given vector field F( x , y , z ) = xyzi - x2yk

Q: Question 2: Find the slope of the tangent line of the function y = 3x² - 4x² at the point x = 12…

A: The function is y=3x32-4x12  We need slope of the tangent line at x=12   Slope of the tangent line…

Q: Given the vector u equal to 6 (cos 205°, sin 205°) and vector v equal to 5 (cos 120°, sin 120°),…

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Q: D Write out the first four terms of the Maclaurin series of fif f(0) = 8, f'(0) = 5, f"(0) = 16,…

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Q: Find the area of the region enclosed by the curves y = x^2 − 1 and y = 7 − x^2.

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Q: Suppose f(8) = 6 and f'(8) = 4. Find the following. ef (x) - e6 lim 18 x² - 4x - 32 || ef(z)-6-f(x)…

A: f(8)=6 and f'(8)=4 Find limx-8[ef(x)-e6]/(x2-4x-32)  Limx-8[ef(x)-6-f(x)+5]/(x2+16x+64)

Q: 7. Use Rolle's Theorem to show that the equation has one and only one solution No graph's! x³ + 3x +…

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Q: Evaluate the limit. x² +4x-5 x+5 lim x→-5 O-10 C C

A: limx→-5x2 + 4x - 5x + 5 Given limit

Q: 2 a) The scalar projection of a =(2, 2, 5m) on b = (0, -3, 3) is -1. Determine the value of m. L b)…

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Q: Given vector v = (−4, 4), find 2.5v graphically by stretching the vector by its tip and then writing…

A: A given vector is v=<-4, 4>. We have to find the vector 2.5v graphically.

Q: Match the polar equation with the graphs labeled I-VI. 7 1 - sin(0) O O O I III V r= O II IV VI y…

A: We can convert polar equation to cartesian form by using the following substitution. x=rcos0y=rsinθ…

Q: Compute the work done by a force F(x, y) = V(x²+2x+y²) on an object displeed along a curve oining…

A: Workdone=∫F.⇀dr

Q: Find the derivative of the function. f(x) = In(√x + 5) f'(x) =

A: Given data f(x)= ln(x+5)

Q: (2) Find dt when y = √x + 4x² et

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Q: . Use the Root Test to determine if the following series converges absolutely or diverges. 3 Σ n=1…

A: ∑n=1∞36n+7n

Q: nd an exponential regression curve for the data set.

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Q: Evaluate the given integral by changing to polar coordinates. 11₁²-1² d 2 - y² dA, where D is the…

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Q: Q7 Given f(x) = 5-6x² + x³. How many critical numbers could f(x) have? (a) 0 (b) 1 (c) 2 (d) 3

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Q: First make a substitution and then use integration by parts to evaluate the integral. [² ecos(t)…

A: The given integral is:∫0π ecos(t) sin(2t) dt

Q: Determine for what numbers, if any, the given function is discontinuous. x-3 if x ≤ 3 9) f(x)= =√x-3…

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Q: Consider the following. f(x) = 9 − x2 from x = 1 to x = 3; 4 subintervals   (a) Approximate the area…

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Q: Evaluate the limit. lim x→-4 x+5 x²+16x+64

A: given limit limx→-4x+5x2+16x+64

Q: 1. S dx √4-x

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Q: Find all values of x (if any) where the tangent line to the graph of the function is horizontal.…

A: Given: The function is y=x3+4x2-115x+23 The objective is to find all x values where the tangent line…

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Q: Test the series for convergence or divergence using the Alternating Series Test. √n 4n+ 5 Identify b…

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Q: Find the area of the region. Interior of r = 7 cos(8)

A: Given data: *The equation of the curve in polar coordinate is r=7×cosθ The above expression is the…

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Q: Assume that y is directly proportional to x. Use the given x-value and y-value to find a linear…

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Q: A coat of paint of thickness 0.08 cm is to be applied uniformly to the faces of a cube of edge 29…

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Q: Simplify sin² (t) + cos² (t) cos²(t) If needed, enter squared trigonometric expressions using the…

A: We have to simplify the problem and write it with no fraction part.

Q: Find a formula of f-1, the inverse function of f. f(x) = (x² + 8)-¹, (-∞0,0] (Express numbers in…

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Q: o Find the polar equation of a line parallel to the line r cos (0 - (Use symbolic notation and…

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Q: Determine O a. O b. dy d. (4r+3) (4r² +6r+3) r(r+1)(r+2) (4r+3) (4r²+6r+3) r(r+1)(r+2) r(r+1)(r+2)…

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Q: 17. Find the slope of the curve below at the given points. Sketch the curve along with its tangent…

A: Tangent of a polar curve.

Q: Find the equation of the tangent line (in slope-intercept form) at the point (1,-6) for the…

A: Given Equation of curve  f( x ) = x4 - 5x3 + 7x2 - 9  As we know that , slope of the tangent line is…

Q: A business analyst starts at $45,000. She receives a 5% raise at the end of each year. What is her…

A: P=$45000Rate = R= 5% =0.05Time=t=6 years

Q: A model used for the yield Y of a crop as a function of soil nitrogen level N is Y =N/1+9N^2 where N…

A: Y is yield of a crop. N is the soil nitrogen level. Y = N1+9N2N≥0   We have to find the maximum and…

Q: QUESTION 6 If a=30, and k=21 then S Save Answer ak xin(k) dx=

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Q: Calculate the iterated integral. 64 8 [** [* (* + X) Jv dx dy

A: Double integral.

Q: Consider the following series. 1 3n² + 5 Use the Direct Comparison Test to complete the inequality.…

A: ∑n=1∞13n2+5

Q: For the function f(x) = ax³ + bx²2, find a and b so that the point (1,6) is an inflection point of…

A: The function is given as , fx=ax3+bx2 find a and b so that point 1,6 is an inflection point of f.