In V3 dx 1+e2cx

Q: Consider the following problem. Find the distance traveled in 15 seconds by an object traveling at a…

A: answer is in next step

Q: Choose the values that would complete the general solution for y = arccos (-1 ±2tk HIN O O O O 0

A: Given:     y= arccos-1

Q: Given the parametric function fill in the table. x (t) = t3 - 2t %3D y (t) = t - 3 t x -2 -1 1 2.

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Q: Find dy/dx and d'y/dx? x = ½ t + 1, y = ½ t° - t, at t = 2 at the given point without eliminating…

A: This question is related to differentiation, We will solve it using given information.

Q: Evaluate/Find the following integrals. 2 4. S2-3 3 -dy 1 У +у 2

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Q: Q3. Evaluate the integrals below. For each integral, first calculate the related indefinite inte-…

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Q: c. f(x) = (-1 if x 0 %3D

A: We need to find possible points of discontinuity.

Q: Sx*(2x + !) dx

A: Given ∫x3(2x+1x)dxWe expand it:=∫(2x4+x2)dxApply linearity:=2∫x4dx+∫x2dx

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: x2- 1 If A = limx→1 х + 6x2 — 5 and B = limx¬c0 then х — 1 х4 + 6

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Q: 5) x²dx + y(x – 1)dy = 0 %3D

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Q: indefinite integrals: Show complete and detailed solutions. Express your answers in simplest form…

A: Solution :∫x-2+1dxlet, x-2=t2dx=2tdt∫t+12tdt2∫t+1tdtlet…

Q: Find all solutions of the system of equations. (If there is no solution, enter NO SOLUTION.) S 3x² -…

A: topic - linear equations in two variables

Q: Solve the initial value problem -4sin(2t – 4), s'(0) = 100, s(0) = 0. %3D %3D dr2

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Q: sy-y+1 when y-5 y=-1 Evaluate

A: The given expression 3y2-y+1

Q: Substitute this expression for s(4) s(t) in the limit and simplify. lim t- 4 s(4) - s(t) 4 t lim t-4…

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Q: 3x cosh a dx. 6. Calculate the definite integral, Jo -

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Q: 34. w/4 sec 0 tan 0 de

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Q: dx Use integral tables to evaluate (Type an exact answer, using radicals as needed.) xV23 + x?…

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Q: arccos(cos)

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Q: An angle's initial ray points in the 12-o'clock direction and the terminal ray rotates CCW. Let θ…

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Q: Simplify y = arccos. 3

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Q: A closed rectangular box with a volume of 375ft° is made from two kinds of materials. The top and…

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Q: 2 : x = 1 + 3t, y = 3 – 6t, z = 5 – 3t are parallel and find the distance etween them. FOTE: Enter…

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Q: 24. dx

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Q: 8x + 13 2. S dx 3 4x + 8x + x + 2

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Q: Applications of Integral calculus 3. The following curves bounds a certain area: y = 4x – x2

A: Area bounded by a curve y=f(x) on [a,b] is given by, A= ∫abydx

Q: f(x + Ax) - f(x) Find lim Ax - 0 Ax f(x) = 3x2 - 9x Step 1 Find f(x + Ax) by substituting x + Ax in…

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Q: o S(e*+3 + ex-3)dx +e*-3•

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Q: good

A: We will solve the integration using integration by parts.

Q: Find an explicit solution of the given initial-value problem. () - 1 dx 3(x2 + 1), dt X =

A: Given query is to find the solution of the differential equation.

Q: Use integration by part to obtain a formula for f x"e*dx and use it to find S x'e*dx. 3 5x

A: We have to find the integral

Q: Suppose at t minutes, r(t) meters is the radius of a circular oil spill from a ruptured tanker and…

A: The given data is: rt=4t2+20,    if 0≤t≤216t+4,     if t>2 To prove that r is continuous at 2.

Q: (xy+ yz+ xz)dV B = {(x, Y, 2) | 0 < I < 5,0 < y < 4,0 < z< 7} . Do not round. Hint: dV can be…

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: Determine if the following statement is true or false. The lines L1 and L2 are skew. L :x = -1 + 2t,…

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Q: Find the area of the triangle with vertices P(1, 5, –6), Q(0,0,0) and R(3,5, 1). NOTE: Enter the…

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: Find all extrema for f on the given interval. f(x): xE[-1,3] x+3

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Q: Find an equation of the tangent plane to the surface at the given poin h(x, y) = In Vx2 + y?, (6, 8,…

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Q: Assume that in the absence of immigration and emigration, the growth of a country's population P(t)…

A: In the absence of immigration and emigration the growth rate of the country is given by dP/dt = kP…

Q: a) A small metal bar, whose initial temperature was 10° C, is dropped into a large container of…

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Q: Show complete solution

A: ∫01x1+xxdx23∫0132x1+xxdx23∫0132x1+xx12dx

Q: 2. f 3xe4 dx 2. S 3æet" dx

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Q: (a) x = 6t,y = - 7+ 4t O (x, y) = (0, 6) + t{ – 7,4) ai + bj = -7j + t(6i + 4j) O (x, y) = (0, 7) +…

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Q: 21. ( (3r'- + 30) dt

A: We have to find the solution

Q: Let a = ci + jand b = 9i + 36j. Find c so that a and b are orthogonal. %3D

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Q: 5: Evaluate dw/ dt at the given value of t, by using the Chain Rule and by expressing w in terms of…

A: Derivatives using chain rule

Q: 1.) xy2dx + y³secx dy = 0 %3D 2.) (5- t)dx- (2x + 3)dt = 0 3.) 4dy + y dx = x² dy

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Q: State the definition of Euler's number e. Sketch the graph of the function f(x) = e". What are the…

A: Euler's number, is a mathematical constant approximately equal to 2.71828. It can be characterized…