Find the vector component of v=2i-j+3 kalong b = 6i+6j+7 k and the vector component of v orthogonal to b. Enter the exact answers. The vector component of v along bis ( The vector component of v orthogonal to b is ).

Q: Evaluate the integrals: 1. f2-* dx √x (ln 2-1) dx 2.

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Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

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Q: Find the general solution of the following differential equation. y" + 12y' + 37y = 0 NOTE: Use C₁,…

A: We have to find the general solution of the differential equation y''+12y'+37y=0.

Q: Explain why l'Hôpital's rule does not apply. If the limit exists, find it by other means. Use - ∞…

A: Here we have to choose the correct option.

Q: Evaluate the integrals: 1. ftan5 x dx 2. f sin 2x cos 3x dx

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Solve the initial value problem O y = 7cost + sint O y = e-cost + 7e-¹ sint ○ y = e¹¹ +7e="t ○ y =…

A: to solve the initial value problem.

Q: Given f(x,y)=e³x² find the directional derivative at the point (-2,0) in the direction of (2,-3)

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Q: Find an equation of the line tangent to the graph of f(x) = (5x-9)(x + 6) at (2,8). The equation of…

A: F(x) = (5x -9)(x+6)  at point (2,8) here we have to find tangent equation  so tangent slope = slope…

Q: [(x+1)e(x²+2x dx

A: The given integral,         ∫x+1ex2+2xdx

Q: Refer to the figure and find the volume generated by rotating the given region about the specified…

A: We have to find the volume generated by rotating the region

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: For the following system: a) Determine how, if at all, the planes intersect. [2T] b) If they do,…

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Q: Find the product of 1 - 2i and its conjugate. (Recall a + bi and a The answer is - bi are complex…

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Q: Eliminate the arbitrary constants from z= (x-a)^2 + ( y- b)^2 to form the partial differential…

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Q: s 2 7x² + 15x + 22 (x-3)(x² + 4x+5) dx

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Q: oast The cost, C, of air conditioning your home, in dollars per day, when the temperature outside is…

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Q: 59. A. If ey dy = 3x² and y(1) = 2, then the particular solution y(x) is dx y = ln x³ +2 C. y = ln…

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Q: . The volume generated by revolving about the y-axis the region enclosed by the graphs y=9-x² and…

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Q: Find w such that 2u + v 3w = 0. W = u = (2, 0, 0, -6), v = (-3, 5, 1, 0) 151 3'3'3' - X

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Q: What is the area beneath the curve y=x2 +1 and above the x-axis from x = 0 to x = 4 by using the…

A: Here we have to use Riemann right end sum

Q: Applied Calculus Class: Please see the complet review example for reference. and solve the given…

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Q: 2. Letf: R→R be defined by f(x) = 4x -x2. Let B be the range of f. (a) Find B. (b) Fins f-1([0, ∞…

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Q: 2 S Sec'x In cotx) dx

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Q: Determine p'(x) if p(x) = (5x)7x and x = 4. Select the correct answer below: 2028 (51n 20) 2028 (7In…

A: Given p(x)=(5x)7x and x=4To find p(x):

Q: A wooden column has the form of a regular hexagon prism. Its base edge is 1 ft. and its height is…

A: Concept: Hexagonal prism: A prism with a hexagonal base and top is known as a hexagonal prism. There…

Q: Given : 6 (x, y, z) Compute the gradient = 3 6y³ z³ - 5 ex at PA (2,2,1-5) of G (x, y, z)

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Q: the cross section of a funnel is in the shape of a hyperbola with the equation…

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Q: Find the mass of the portion of a sphere in the first octant with radius 1 and density function…

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Q: Find the general solution of the differential equation 49y" + 112y + 64y = 0. NOTE: Use C₁, C₂ for…

A: We have to find general solution of given DE.

Q: The figure shows the chain drive of a bicycle. How far will the bicycle move if the pedals are…

A: I have explained the solution.

Q: The graph below shows f(x). Use the graph to estimate (f-¹)' (4). You may enter an exact answer or…

A: We have to solve with the help of graph.

Q: 2x - 3 е 2 -dx,

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: me following limit, identify f(x), a, and L. elect the correct answer below: Of(x) = -x + 2; a = -1;…

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Q: Find a result by using undetermined coefficients for ý - 5ý +6v = xả + e2x + 3 sin2x

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Q: If d is a positive and not perfect square integer in [6,8]. Assume that √d = [ao; a₁, a₂, 3, 1, a5]

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Q: R is the region bounded above by the function f(x) = x/4 + 4 and below by the function g(x) = −2x/3…

A: Given, f(x) = x/4 + 4  and g(x) = −2x/3 − 4 The region R in interval of [1, 4]

Q: If two objects travel through space along two different curves, it is often important to know…

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Q: Lucas does not like Dustin weapon and decides to design his own. His model has a plane that contains…

A: The statements which are true is given below   i) The plane has a parametric equation that can be…

Q: For the function f(x) = 7x³ - 2x² + 2x +9, find f''(x). Then find f''(0) and f''(9). f''(x) = Select…

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Q: Find the indicated derivative and simplify. 2x-3 2 x + 9x y' for y=- y'=0

A: To find the derivative.

Q: The acceleration function (in m/s2) and the initial velocity v(0) are given for a particle moving…

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Q: 1 4. First, make a substitution and then use integration by parts to evaluate [Hint: Use the fact…

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Q: 8. (x - 1) dx √x lim

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Q: The acceleration function (in m/s2) and the initial velocity v(0) are given for a particle moving…

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Q: 58. A. Which of the following differential equations has x² – 4y² = 8 as a solution? no gai dy dx =…

A: Derivate the given equation with respect to x.

Q: tan ³ (3x) sec" (3x) dx

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Q: M8 K=1 K² +1

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Q: (b) f(0) = (Type an integer or a decimal.) (c) f(1) = (Type an integer or a decimal.) (d) What are…

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Q: I can't seem to understand the solution. Can someone write it down?

A: An inner city revitalization zone is a rectangle that is twice as long as it is wide. A diagonal…

Q: 2. Use a double integral in polar coordinates to find the area of the region. (a) The region…

A: We need to find the area of the given regions using double integral in polar coordinates.