sketch the function y=(x+3)^(3)-1, and its inverse. Is the inverse a function

Q: Let 7 (t) = Find a parametric equation of the line tangent to r(t) at the point (157, 16,- 4.159)…

A: A line parallel to a vector v <a,b,c> that passes through the point (x1 ,y1, z1) is given as…

Q: find the sum of the series Σ (sin (10) - sin(-1)) 71=1

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Q: Estimate the area between the curves y=2x   and   y=0.5x^2 Use a graphing calculator.

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Q: Find f such that f'(x) = 8x-9, f(7) = 0. f(x) = 0

A: f'(x)=8x-9, f(7)=0

Q: 4. Set up an integral in spherical coordinates for the volume of E, where E is the solid top-half…

A: Given that, E is the solid top-half hemisphere defined by              0≤x2+y2+z2≤9    and  z≥0.…

Q: use the Alternating Series Test to determine if the series converges. If the Alternating Series Test…

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Q: Set up but do not evaluate a triple integral to find the volume of the solid R bounded above by 2x +…

A: We are asked to setup  triple integral

Q: which of following is graph of F(x) = Xº Dashed 4²-1 lines indicate asymplates

A: To find the vertical asymptote: Set denominator=0 and solve for x. To find the horizontal asymptote:…

Q: 2x -x 2 x²-p²x¹ dx

A: Differentiation

Q: The population of a town t years after the beginning of the year 2000 is given by P(t) =…

A: given P(t)=6414e0.034t

Q: Calculate the volume of the solid obtained if the plane region R bounded by y=x and x= 4y - y2 is…

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Q: The table gives the price t, in dollars, of a round-trip flight from Denver to Chicago on a certain…

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Q: Graph the two curves y = 4x and y = 8√. These curves cross when x = 0. Find the x-coordinate of the…

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Q: If f (x) = ln x, then lim I-3 А B D In 3 nonexistent f(x)-f(3) is

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: Find the angle between the vectors u = (1, 2, 3) and 7 = (3, 2, 1) - 80.79° approximately O 71.79°…

A: Question 1

Q: apply the Limit Comparison Test to determine whether the given series converges or diverges. 2n 3n+1…

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Q: Determine lim X- • ot s/x 7 Sinx

A: limx→0+5x-7sinx

Q: apply the Limit Comparison Test to determine whether the given series converges or diverges. ∞ n=1…

A:

Q: Let f(x, y) = x³y² and c(t) = (t², 2t³) (a) Calculate: Vf. c'(t) = (b) Use the Chain Rule for Paths…

A: a) The given function is f(x,y)=x3y2 and c(t)=t2,2t3 now,  ∇f=fx,fy

Q: Let f(x) = x² + x³ + 2x. Find (f-¹)' (4).

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Q: The radius of a right circular cone is increasing at a rate of 4 inches per second and its height is…

A: rate of change of height and rate of change of radius of right circular cone is given. To find the…

Q: Use the tabulated values of f to evaluate the left and right Riemann sums for n = 10 over the…

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Q: Arc Length. If f(x)= 3x³ -10, find the arc length of the graph off from the point A(8,2) to…

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Q: Determine if the function f(x) x√9 - X satisfies the hypotheses of Rolle’s Theorem on the interval…

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Q: Find the interest rate needed for an investment of $5000 to grow to an amount of $9500 in 4 years if…

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Q: Calculate the volume of the solid obtained if the plane region R bounded by y=x and x= 4y - y2 is…

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Q: - Identify the points of inflexion of the function. - Identify the largest and smallest value of…

A: To find the points of inflection of the function f(x) = 10x3 + 6x2 + 7x + 20, we need to find the…

Q: 5. A sphere has equation x² + y² + z² = x. What is the equation of the sphere in spherical…

A: equation of the sphere x2+y2+z2=x

Q: Determine the absolute maximum value of f(x) = sin²(x) cos(x) on [0, 2π].

A: we need to find the maximum of the function f(x)= sin2x-cosx, 0≤ x≤ 2π

Q: A curve passes through the point (0, 3) and has the property that the slope of the curve at every…

A: The curve passes through point ( 0 , 3 ) The slope of the curve at every point p is twice the y co…

Q: Find the unit tangent vector of the vector function 1 r(t) = (t² − 3)i + (1+3t)j + ( + (²/³ -…

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Q: Find the differential of the function. m = p5q7 dm -CL Dap + ( dp dq

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Q: 11. Given the graph of f(x) below, describe the type and location of all discontinu 4 f(x)

A: Limit and discontinuity

Q: Let f(x) = x²-7X, 9(x) = sin(x) and P(x) = { *³²³²^(x), *²0 x=0 a) use the limit definition of the…

A: We need to find derivative of given function.

Q: 6. If cos 0 = 3π and ≤0 ≤³7, find the exact value of tan 20.

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Q: Find the curl of the vector field F. F=x²yzi+xyzj+xyz¹k curl F = = 0i+Dj+0k

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Q: 1. Draw the graph of a function f(x) that is continuous on the domain [-3,9] and clearly satisfies…

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Q: 4.2 Find the area of the region bounded by the curves ª 9x² and xx 9x between -3 ≤ x ≤ 3. Show all…

A: We have given two curves and we have to find the area of the region between curves.

Q: Which of the following series is conditionally convergent? (A) B n=1 Σ(-1)²+1 17+n √n n=1 sin(n) 7²…

A: Given that, (A) The series  ∑n=1∞sin(n)n2 ,  Since,   ∑n=1∞ sin(n)n2 ≤   ∑n=1∞ 1n2 which is a…

Q: Find the demand function for the marginal revenue function. Recall that if no items are sold, the…

A: R'x=0.03x2-0.05x+216  Find the demand function px

Q: Exercise 5. Compute F F.NdS where F(x, y, z) surface of the plane x + 2y + z = 6 in the first…

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Q: Find the length of the curve. r(t) = t² i + 9tj + 4ť³/2k, 1≤t≤4

A: Given vector function is: r(t)=t2i+9tj+4t3/2k We have to find length of curve for the interval [1,4]

Q: Consider the followin gdifferential equation: y + 2 t+1 dy dt Find the general solutions and the…

A: dy/dt=(y+2)/(t+1)

Q: Consider the followin gdifferential equation: y + 2 t+1 dy dt Find the general solutions and the…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Convert the point (x, y, z) positive values, either as expressions, (r, 0, z) = 1C Calculator Check…

A: We compare xy and r-theta plane

Q: 5dv 7e +3

A: The given integral is 5/(7e-v+3).

Q: S(x+5)-1/2³/z+5

A: we have given ∫x+5-12ex+52dx

Q: Assume that u v = −6, ||u|| = Calculate the value of 3u (8u (Use symbolic notation and fractions…

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Q: 1. Evaluate: f (2x+3)dx x²+2x+5

A: As per our guild line we are supposed to answer only one question please repost other questions as…