For the integral, / tan'x sec*x dx, if we let 4=tan x, what is the re-written form of the integral?

Q: 25 Simplify sec(arcsec 1/2 ). no solution -1/2 1/2

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Q: A solid right cylindrical cement block of volume 97 ft³ is to be made, and then painted except for…

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Q: Continuity of a function on an interval: Show your solution, graph (use GeoGebra) and identify if it…

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Q: if x 2

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Q: Could the following vector field. F. be conservative F(z,9) = (6z" cos (y), 4y²cos (z)) Select the…

A: Given vector field Fx,y = 6x4 cos(y), 4y3 cos(x)

Q: A 11. (2x- 3) dx 12 (+ 2x) dr SG²– 2) dr A -2 13. 1HIO

A: 11) ∫022x-3dx    A. -2 Explanation: ∫022x-3dx=2∫02x dx-3∫02dx                      =2x2202-3x02…

Q: 1 y dydx %3D 0. Select one: O True O False 2.

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Q: dy Find for the curve: x dx :4 cos t, y = 16 sin t, 0<t < 2T

A: We have to find dy/dx for the given function

Q: Show that the following are equal using set identities. Provide the correct solution with the name…

A: The left side is: C∩C-B∩C∪A∩B-B∩C-A We first simplify inner parts:  C-B∩C A∩B-B∩C

Q: Using rectangles whose height is given by the value of the function at the midpoint of the…

A: By using rectangles whose height is given by the value of the function at the midpoint of the…

Q: 2. Given if 0 b Do the following: a. Determine a value of b so that f is continuous at r = b. b. Is…

A: Given a piecewise function.

Q: Evaluate the integral. (Use C for the constant of integration.) (3× – 5*) dx -

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Q: Find the area (in square units) of the region under the graph of the fu f(x) = 2x + 8 %3D square…

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Q: 1.) Í 9r*dr/V1- r 2.) csc c²20cot20d0

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Q: Convert the polar coordinates (6, -T) to Cartesian coordinates. Leave answers in fractional form.…

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Q: 4.x 2x 7e lim 1- e4x

A: We have to find limx→∞ e4x-7e2x1-e4x.

Q: Please use definite integral in solving for the area. a. y = Vĩ and y = x3

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Q: Convert the polar equation r sing = 5 in Cartesian equation form. %3D O xy + y? = 5 x = 5 Oy = 5

A: Here we have to convert the polar equation into Cartesian equation.

Q: Is this statement true or false?

A: Given a continuous function f on a closed interval [a, b] and f(a) &gt; 0 and f(b) &lt; 0 or f(a)…

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of F(2) = | sin(t*)dt F'(x)…

A: Given query is to find the derivative.

Q: Sketch and determine the opening, vertex and focus of the parabola with an equation of y2 - 8x + 16…

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Q: A flu epidemic hits a college community, beginning with five cases on day t = 0. The rate of growth…

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Q: ah4.

A: answer is in next step

Q: 5.) Find the area of the triangle whose vertices are at A (-2,3), B (6, -6), C (8,0)

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Q: (x – y)dx + xdy = 0.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find an equation for the tangent line to the curve at the given point. Then sketch the curve and the…

A: Given: y=8x, 16,32

Q: Find the derivative of the function y=(4x+1)^5(3x+1)^-4

A: We can find the derivative as below.

Q: b) - 1 Use polar coordinates to evaluate the double integral || (4x2 +4y²) dA R where R is the…

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Q: Consider the function f(x) = 5x³ 8x2 + 5x – 3. An antiderivative of f(x) is F(x) = Ax* + Bæ³ + Cx² +…

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Q: Given the vector-valued functions - 4t ü(t) = e-i+ e-j – tk ö(t) = tỉ – 4tºj + 3k -21 %3D (i(t) ·…

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Q: 13. the , xydA, where ySxsy?}

A: First I have set the limiting double integral from given information and then solved it .Final…

Q: Direction: Find the integral of the following functions: 1. S(5 cos x + 7 sin x) dx 2. S(3tan2…

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Q: 9. Given arbitrary matrices A, BE RXn with n> 1, select the c of A and B). 1. tr(AB) = tr(A)tr(B) 2.…

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Q: a. Graph the function f(0) = 6 sin(0). 6- 4 -/2 3/2 -2 -4 -6 -8+ Clear All Draw: W b. Graph the…

A: We want to plot the graph.

Q: What would be the shape of the graphr= 2 cos 0, given that 0 = 0, 7, 5, ? semi-circle in the first…

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Q: If an object's position over time is given by the function d(t) = (t +3)e i for t > 0, on what…

A: We have to find range of t for which position is increasing &amp; concave up.

Q: Use part I of the Fundamental Theorem of Calculus to find the derivativ f(x) Vt3 + 2°dt f'(x) =…

A: Given query is to find the derivative.

Q: answer

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Q: Compute the derivative of the given function. f (x) = 2 ln x – vT

A: Given fx=2lnx-x To find the derivative:

Q: Let C be the parametric curve defined by x(t) = t² – t – 2, 1 y(t) = t3 – t2. 2 %3D (-:) 3 -2,…

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Q: Find a parametric description r(t) for the ine segment from (-1,-3,-1) to (1,7,4). Provide your…

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Q: 8. Let y(x) be the solution of the differential equation ry' - y = lnr such that y(1) = 1. Find y(2…

A: The standard form of the first-order linear differential equation is: dydx+Py=Q Where P &amp; Q is…

Q: Find the derivative of the function. f(x) = In(sinh(x)) f '(x) =

A: f(x) = ln(sinh(x)) here we use chain rule f'(x) = cosh(x)/sinh(x) f'(x) = cot(h(x))

Q: 2x2 1) Given: f(x)= 48(3x +16) f"(x)=- (² –16) -8 -48x s'(x)=: (x² -16) x-16 a) Determine any…

A: Given: f(x)=2x2-8x2-16f'(x)=-48xx2-162f''(x)=483x2+16x2-163

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 XV x4 dx - 16

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Q: Solve this problem algebraically, using your knowledge of derivatives. Do not solve by graphing.…

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Q: Vz2+4-2 (d) lim 22

A: We can find the limit as below.

Q: If f(x) (t3 + 7t + 7)dt then f"(x) =

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Q: 1 1. X CasCx y) dxdy. 0.

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: Use the algebraic substitution and solve the integration.