For y = f(x) = 8x³, x = 3, and Ax=0.04 find a) Ay for the given x and Ax values, b) dy = f'(x)dx, c) dy for the given x and Ax values.

Q: D. Name another exponential function that is equivalent to y = 2. (Hint: Recall that y = 2 * =…

A: D) The given data is: Name another exponential function that is equivalent to  y=2-x

Q: The Sixth Gate After walking through the fifth gate, your computer informs you that more than half…

A: Given function f( t ) = 1a( 7t3 - 55t2 + 165 )40

Q: Describe the given region in polar coordinates.

A: Please see the below picture for detailed solution.

Q: Find the distance from the point (7,-4,5) to the line a(t) = (5,-3, -2)t + (6, 8,-4). Calculator

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Q: A vector with magnitude 4 points in a direction 340 degrees counterclockwise from the positive x…

A: let vector =V given  magnitude=V=4and direction=θ=340°now Vector V=<x,y>=?…

Q: Q11 Compute (a) [3.14] = dx (b) Compute [54] = d 5-4x- dx 3

A: To compute the following. (a) ddx3.14 (b) ddx5-4x3

Q: The Fourth Gate You arrive at the fourth gate, feeling confident in your skills. "It is a good thing…

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Q: Evaluate the limit sin 5x lim 10 sin 2x

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Q: Find the centroid (x, y) of the region bounded by: y = e³¹, y = 0, x = 0, and x = 2.

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Q: 9. 87 12 5 -

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Q: h(x)=5.5x-3.42 The leading coefficient of the polynomial ​

A: We know that the leading term of polynomial is term that contain the highest power of variable.

Q: A volume is described as follows: 1. the base is the region bounded by x = y² + 8y + 50 and x = 2.…

A: A volume is described as follows: 1. The base is the region bounded by x=-y2+8y+50 and x=y2-22y+138.…

Q: Find an equation of the sphere with center  (3, −7, 3)  and radius 5. Use an equation to describe…

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Q: Consider the following. Find r'(t) and r"(t). r' (t) r"(t) = K= r(t) = (4t², In(t), t In(t)) = Find…

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Q: A computer is purchased for ​$5000. Its value in dollars after t years can be approximated by…

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Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = e-5x (Use…

A: We draw the graph of the function and find the total area by integrating

Q: Evaluate the double integral. √ 9x (25+ y²)-¹dA; R R is the region in the first quadrant enclosed by…

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.…

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Q: Evaluate dw dt OA. -9 OB. 5 O C. 11 O D. 7 at t= 1 for the function w(x,y) = x² - y² + 9x; x = cos…

A: Given: w(x,y)=x2-y2+9xx=costy=sint   We are required to find dwdt at t=π2

Q: Q12 Construct the equation of the line passing through (0, -2) and (3,5).

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Q: Suppose that f is differentiable at 1 and f'(1) = 1 = f(1). Evaluate lim xf(x²+x-5)-16 22-4 (Hint:…

A: Given f is differentiable at 1 f'(1)=1=f(1) We are required to find limx→2x4fx2+x-5-16x2-4

Q: 16 cos 6nt dt = [

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Q: Evaluate the limit using L'Hospital's rule if necessary x 5 7 lim (1+1)

A: To find the limit

Q: Find the extreme values of f on the region described by the inequality. (If an answer does not…

A: Given, f(x, y) = e-xyRegion, x2 + 4y2 ≤ 1   Finding the critical points, ∂f∂x = -ye-xy∂f∂x = 0, y =…

Q: Determine if the function f(x) = r²-3x+2 satisfies the hypotheses of the Mean Value Theorem (MVT) on…

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Q: We can represent planes using either vector equations or scalar equations. Which form do you think…

A: We have to answer which form of plane is better Either vector or scalar

Q: Instagram has a revenue function of R(q) = 5q 2 − 10q+ 600 and a cost function of C(q) = 3q 2 + 200,…

A: Note: As per our guidelines, we are supposed to answer only one question with a maximum of three…

Q: 2√3/3 3/2 21 7(²-1) ³92 - -dr = r (Type an exact answer in terms of .)

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Q: Find f'(x) and simplify. X x + 36 f(x) = Which of the following shows the correct application of the…

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Q: Find the surface area of revolution about the 2x + 2 over the interval x-axis of y 1 < x < 4.

A: y=2x+2, 1≤x≤4 Differentiating with respect to x, we get dydx=21+0=2

Q: 15 sin ¹√2x dx = [

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Q: We can represent planes using either vector equations or scalar equations. Which form do you think…

A: We have to answer which form of plane is better Either vector or scalar

Q: Find the derivative of the function. In(e²x + 3) y =

A: y=lne2x+3d dx(lnx)=1xd dx(ex)=ex

Q: The function f(x) = 1 + 8x + 128x7 has one local minimum and one local maximum. This function has a…

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Q: 17x³ (In x)² dx =

A: The given integral is: ∫17x3 ln x2 dx

Q: Find the extreme values of f(x,y) = xy subject to the constraint x² + y² -4 = 0. The extrema are…

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Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

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Q: Sketch-the-graphs-x = 4y - y² and x = y

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Q: Find the critical point of the function f(x, y) = −8+2x+4x² + 5y-y² This critical point is a:…

A: Given f( x, y ) = -8 + 2x + 4x2 + 5y - y2

Q: If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the…

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Q: d. f(x) = 3x4. 3x²-2 2x

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Q: 3 Find the values of constants a, b, and c so that the graph of y = ax³ + bx² + cx has a local…

A: The equation of curve is:y=ax3+bx2+cx   Local maximum and local minimum of the curve y=f(x) are the…

Q: The weight of a fish varies jointly as its girth and the square of its length. One fish weighed in…

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Q: Find the inverse Laplace transform L¯¹{F(s)} of the given function. 8s² - 49s + 294 s(s² +49) Your…

A: given  Fs=8 s2 - 49 s + 294s  s2 + 49 and asked to find the inverse laplace transform of F( s ).

Q: In evaluating 2₁3² (x³ – 1) ¾ dx, we make the substitution u

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Q: Let f be the function defined as follows. y = f(x) = √√√√5x + 6 (a) Find the differential of f. dy =…

A: A detailed solution is given below.

Q: Consider the following. x = ln(t), y = 2t, z = t², (0, 2, 1) Find the equation of the normal plane…

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Q: A heavy rope, 30 ft long, weighs 0.7 lb/ft and hangs over the edge of a building 90 ft high. a) How…

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Q: A tepee has a circular floor with a diameter of 4 meters. What is the floor's circumference? typed…

A: Given :  A tepee has a circular floor with a diameter of 4 meters. Find :  What is the floor's…

Q: Determine if Rolle's Theorem can be ap plied to r²+3r-18 x+9 f(x) = on the interval [-6, 3), and if…

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