The ramp of a moving truck touches the ground 15 feet away from the end of the truck. If the ramp makes an angle of 14° relative to the ground, what is the length of the ramp? Round your answer to two decimal places.

Q: Evaluate the improper integral if it is convergent. (If it is divergent, type DIVERGEN 1₁0 10 dx

A: ∫10∞10xdx

Q: Find an equation of the set of all points equidistant from the points A(-3, 4, 2) and B(6, 1, -2).…

A: To solve the following

Q: f(x)= In (2-x² + 2x¹); x=1

A:

Q: 00 Σ n=2 In n 2 n

A: Note:- As per the guidelines we are supposed to attempt only one question so please upload the next…

Q: A street light is at the top of a 13 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: 6. Evaluate: 2x²-x+4 f x(x²+4)

A: We have to evaluate integration  (2x2-x+4)/(x(x2+4) ) With respect to dx

Q: Evaluate the line integral SF dr, where F(x, y, z) = -2xi + 3yj - zk and C is given by the vector…

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Q: A ≤n 여 5 A

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Q: (a) In each case, determine if L'Hopital's Rule applies. 3x lim x-0+ 3x - 1 √t + et lim t-00 In(t)…

A: We need to find the L-Hospital's rule that applies to calculate the limit:…

Q: Find the indefinite integral. Hint: values where appropriate.) 1 t+6 dt t t + 6 = 1 6 t + 6 (Use C…

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Q: M (x) = 220 - x where R = resting heart rate, M = maximum heart rate, and x = age

A:

Q: 10) Compute the integral over D: √₁₂(x + y (x + y) dx dy y=2r D 3 لنا y=x

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Q: If f(x) = e* and g(x)=xe-e-*

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Q: Evaluate arctan (0). Give your answer in exact form (no decimal equivalents).

A: let  arctan(0)=x

Q: 1 Evaluate ///*²2² + 3² +2²° dV, where E lines between the spheres x² + y² + ² = 9 and x² + y² + ₂²…

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Q: a B b C A

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Q: Consider the following function. 1 F(x) = x ² 3 Determine whether f(x) approaches ∞o or -coas x…

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Q: Sketch the conic. Include the directrix that corresponds to the focus at the origin. Label the…

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Q: 2 v ) m]f{x UN

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Q: The position of a particle along a straight line is given by s= (¹-9t² + 15t) ft, where t is in…

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Q: Solve the initial value problem: y(x) dy 3 dx = - 12x²; y(-1) = 25

A: Given: dydx=3x2-12x2;y(-1)=25 We are required to: Find the value of y(x)

Q: Use the chain rule to find the derivative of f(x) = 5(10x³ + 2x10) 12 You do not need to expand out…

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Q: . Without graphing or solving for the inverse equation, list the transformations of the inverse of y…

A: y = -sin(x+1)+3

Q: Consider the vector field F = Evaluate ef F r(t) = t² i + t³j, 0≤ t ≤1 F. dr along the curve C:

A: Concept of line integral is as follows ∫F.dr→ = ∫t1t2F( r ).( dr )dtGiven F = < 7x + 5y , 5x + 2y…

Q: Solve differential equation with steps: y''-y'-2y=4x-6x^(-x)

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Q: Use row reduction to find the inverse of the given matrix if it exists, and check your answer by…

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Q: Use Green's Theorem to evaluate F.nds, where F = (√x + 5y, 2x + 5y) C' is the boundary of the region…

A: We have to evaluate the integral ∫CF→·n→ds, where F→=x+5y,2x+5y. Where C is the boundary of the…

Q: Find a vector a with representation given by the directed line segment AB. A(2, 0, -3), B(2, 4, 3)…

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

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Q: Test the series below for convergence using the Ratio Test. n² 1.4" The limit of the ratio test…

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Q: Find the area of the shaded region. 2 1 L square units y=x4 - 2x³ y = 0 2 X

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Q: Use integration by parts to evaluate the integral: [8s cos(s)ds

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Q: Use the transforms in the table below to find the Laplace transform of the following function. A…

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Q: lim The limit for X→ O True O False In x X is 1.

A: limx→∞+lnxx

Q: √x³ X x² + 1 dx

A: ∫ x5x2+1

Q: 4. The graph of f(x) = x³ has been transformed into g(x) shown below:

A: The graph of fx=x3 has been transformed into gx shown below :

Q: 6) Find two unit vectors that are parallel to the tangent line of f(x) = tan(x) at the point (7,0).

A: Given that f(x)=tanx We have to find two unit vectors that are parallel to the tangent line f(x) at…

Q: ind the plane tangent to the function f(x, y) = √√/26 - 1x² =(x, y) = - 1y² at the point (-3, 1). B…

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Q: 4. First, sketch a picture of the line which passes through P = (1, 1, 2) that is perpendicular to…

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Q: Filling a Coffee Pot A coffee pot in the form of a circular cylinder of radius 3 in. is being filled…

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Q: DETAILS TANAPCALC10 6.5.007. 0/2 Submissions Used Evaluate the definite integral. 6 8 2x + 1 dx

A: We have to solve the given definite integral Using formula  1) Substitution Method 2) Power Formula

Q: Find the surface area of the part of the plane z = 6 + 2x + 3y that lies inside the cylinder x² + y²…

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Q: 2. (a) Calculate the exact length of the curve r = 1 - sin for 0 ≤ 0 ≤ 2T. (b) Justify why the area…

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Q: 7a. Find the Taylor Polynomial P3(x) that uses a Taylor Series centered around x=3 to approximate…

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Q: A particle moves along a line with a velocity v(t)=−3t + 6, measured in meters per second. Find the…

A: v(t) = -3t+6 To find: Total distance the particle travels from t=0 to t=5 Now, let's first find…

Q: Find the unit tangent vector T(t). r(t) = esti + cos(t)j - sin(4t)k, P(1, 1, 0)

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Q: Determine if the function is continuos. If the function is not continuous, find the x-axis location…

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Q: Find the vector that has the same direction as (3, 6, -2) but has length 2. 6 12 7

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Q: A chemist, running tests on an unknown sample from an illegal waste dump, isolates 61 grams of what…

A: Given: Initial amount=61g Final amount=12g  Time=66days

Q: Evaluate cot (arccos()). Give your answer in exact form (no decimal equivalents).

A: let   cot(arccos(49))=x