Find the point on the curve y=x³ at which the tangent is parallel to the tangent at the point on the curve with an x-coordinate of 4

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Q: Solve the given differential equation. All solutions should be found. dy_x³_8y x5 - 8y dx X NOTE:…

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Q: Consider the parallelepiped with adjacent edges Find the volume. V = i 137 u = 8i + 7j + k v = i + j…

A: Directly use the formula for the volume of parallelepiped.

Q: 1+tan x

A: We have to find the integral.

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Q: Find the limit, if it exists. lim 5x+4 x 7x-6 Need Help? Read It Master It

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Q: Describe the graph of the equation. r = (4 - 3t)i - 7tj O It is a plane in 2-space that goes through…

A: Given equationr=(4-3t)i-7tj

Q: Sketch a graph of f(x) 5 -5 = 4 3 -2 -1 12 1 -4 -3 3 Clear All Draw: Note: Be sure to include closed…

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Q: rπ/4 x² dx (x²+4)5/2 (Use trigonometric substitution)

A: To evaluate the given definite integral.

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-3, 0,…

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Q: ST/4 x² dx (x²+4)5/2 (Use trigonometric substitution)

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Q: Find the arc length L of the graph of r(t). L = r(t) = 10 cos(t)i + 10 sin(t)j + tk, 0≤t≤ 2π

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Q: Find the derivatives of the function xy² x-y x + y

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Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

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Q: 49-52 Sketch the curve and find the total area between the curve and the given interval on the…

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Q: Compute the area bounded by the curves x=2y² and x=4+y²

A: Area bounded by two curves x=f(y) and x=g(y) is given by, A=∫abf(y)-g(y)dy ,a,b are the points of…

Q: A courier service will deliver a package only if the length plus girth does not exceed 108 inches.…

A: Given: A courier service will deliver a package only if the length plus girth does not exceed 108…

Q: The height y (in feet) of a ball thrown by a child is 1 -x² + 2x + 5 y = 16 where is the horizontal…

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Q: 7 What is the probability of getting two heads and one tail when a coin is flipped three times?…

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Q: How many different 8-digit phone numbers do not contain the digit 6? Assume that any digit in the…

A: To determine how many different 8‐digit phone numbers do not contain the digit 6. Assume that any…

Q: which of the following sequences is converge or diverge: (²√m) ()}. {!}

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Q: Use the information to find and compare Ay and dy. (Round your answers to four decimal places.)…

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Q: If y=7x²y+z³ +yz² A = y³ z² e^5x a_x + 4x4 zcosy a_y+ 2x4 CosySinz a_z. Find the following at point…

A: Given, ψ=7x2y+z3+yz2A=y3z2e5x ax+4x4z cosy ay+2x4cosy sinz az           Note: The expert is supposed…

Q: 4- Suppose that you can learn N(t)= 64t - t³ words of a new language after 1 hours of study time. a-…

A: We have to find the rate in words per hour.

Q: Find the domain and range of the function graphed below. 5+ 3 -5 -4 -3 2 1 2 3 4 5 Domain: Range: ON…

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Q: Solve the given differential equation. All solutions should be found. dy 2xy + y² + 7 dx x² + 2xy…

A: To find the solution of given differential equation in implicit form.

Q: Match the function with one of the graphs below using horizontal asymptotes as an aid. 0.5- के 2…

A: Solved below

Q: The daily total cost(in dollars) incurred by Nando’s for producing q cases of PERi-PERi sauce is…

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Q: 20 x³ dx (x²+4)5/2 (Use trigonometric substitution)

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Q: If [2x 3 23 1. 2 13 2. 2 3. 4. - 13 2 23 2 ] [ 1 -3 0 * 0 = 0, then the value of x is

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Q: Find the exact value of sin (2θ) given that sin (θ) = 3/5 and θ is in quadrant II.

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Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 2x 3x lim x-2- (-²-2- -3X=42) x -…

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Q: a = a What is the 150th term of a A 151 B 152 с 309 D 311 n-1 +2 if a₁ = 11₂

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Q: √ 1 x²√2x-x² dx = x+¹√ √√2x-x² + c 3x²

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Q: Consider the following. u = (-3, 3, 5) v = (0, 1, 6) Find u x v. Determine if u x v is orthogonal to…

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Q: Locate the absolute extrema of the function on the closed interval. f(t) = ₂, [3,5]

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Q: 19. TT/2 -π/2 sin 0 de 20. * sec² 0 de

A: 19 ∫-π/2π/2 sinθdθ [-cosθ ]-π/2π/2 0 - 0 =0 other way sin is odd function so also integration is = 0…

Q: Method A: Method B: Replacing cosa by 1-sina. Replacing sin by 1- cos². Replacing seca by 1 + tan²…

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Q: Determine the minimum cost of a retailer of motorized bicycles whose cost function is C(q) = 4860/q+…

A: Here the given cost function is: C(q)=4860q+15q+750000

Q: d Calculate [ri(t) r2(t)] and [ri(t) x r2(t)] first by differentiating d't dt the product directly…

A: Given,           r1t=4ti+2t2j+5t3k , r2t=t4kTo find : ddtr1t·r2t                ddtr1t×r2t

Q: At each point (x,y) on the curve, the slope is 2x+1. The curve passes through the point (-3,0). Find…

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Q: Y sinh(1) (use logarithmic differentiation) 3 (sec x)²/2[/cot-¹x]

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Q: Write the sigma form for sin(x^2), Write the first 4 terms of the series approximation, and use the…

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Q: 12 Give the properties for the equation 9x 2 + 16y 2 - 36x + 96y + 36 = 0 Domain -6 ≤ x ≤ 7 -7 ≤ x…

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Q: Integrating Factor by Inspection: 9. (x4y+)dx + xy³dy = 0

A: Let the differential equation is of the form Mx, y dx + Nx, y dy = 0  ...........(1) If Mx+Ny≠0 and…

Q: Write an equation for a rational function with: Vertical asymptotes at x = 5 and x = -2 x-intercepts…

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Q: 13-30 Evaluate the integrals using Part 1 of the Fundamental Theorem of Calculus. 4. L_ Ax 4x(1-x²)…

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Q: Find the genereal solution. NONHOMOGENEOUS EQUATIONS: UNDETERMINED COEFFICIENTS (D2 + 1)y = sinx

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Q: 1. Identify the equations of all the linear asymptotes of f.

A: There are three different types of asymptotes for a function fx: (i) Horizontal asymptote: If we…

Q: Find the directional derivative of f(x, y) = direction of Q(2,-2). NOTE: Enter the exact answer. √2…

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