Given -x²+4x +5 dx. Using trigonometric substitution, what is the integral form in terms of 0? Sa A + sin 20) do Sa-m B - sin 20) do + cos 20) d0 D - cos 20) de E None of the choices

Q: Use the Midpoint Rule with n = 4 to approximate the integral. 10 x² dx M4 =

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

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A: This question can be solved using the concept of integral test.

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.

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Q: Given f'"(x) and f'(0) = 2 and f(0) 2x – 4 - 2. Find f'(x) = and find f(4) : =

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

A: We can find the limit as below.

Q: True or False, If f' (3) = f" (3) = 0. then I 3 MUST be an inflection point. (Remember = to give…

A: It is given that, f'(3)=f''(3)=0 then x = 3 must be an inflection point.

Q: 2(メy)=16-x-, R: %3D and y=4X- 2

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Q: a b and c pls

A: To evaluate the following  given limits.

Q: 5) The hypotenuse of a right triangle is 12 cm in length. Calculate the measures of the unknown…

A: To find the dimensions of given triangle such that it has maximum area.

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Q: Write the complex number in standard form. (2-J-15)* O -11+ /15i O 4- 15/5i O-11-4/15i O -11+4/15i…

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Q: 2) Find the equation of the tangent line to the curve y = cos(2x+ at x =

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Q: 3 3 What is the value of the integral 2x ydydx ? Select one: O 4/83 O None of these O 83/4 O 4/81 O…

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Q: Consider / sin'x cos?x dx. If we let u=cos x , the integrand can be transformed to A (u²+ 2u* +u6)…

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Q: v du is? x³ sin (x²) dx ¡s evaluated using IBP, the value of J When

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Q: Solve the system of linear equations and check any solution algebraically. 3x +3y = 0 6x + 3y – z =…

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Q: A ball is being inflated such that the volume is increasing at a constant rate of 130cm3/s. How fast…

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Q: Using integration by parts, which of the following options is true of x arccse x dx ? x dx A rccsc…

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Q: Evaluate the iterated integral: e dydx

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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 & concave up.

Q: ven -5z'ydz - 2rzdy+ (z+ y)* dz where C is the helix parameterized by r (t) = (34, sin (t), con (t))…

A: To set up the given  line integral in terms of t.

Q: Select from the items the one that corresponds to a correct step of the procedure to solve the…

A: Solving

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

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Q: Write the form of the partial fraction decomposition of the rational expression. Do not solve for…

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Q: evaluate lim f (x) and lim f(x). X--00 -5 + 2e-* f(x) = %3D 5e-+6

A: f(x)=-5+2e-x5e-x+6limx→∞f(x)=limx→∞-5+2e-x5e-x+6             =limx→∞-5+2ex5ex+6…

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

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Q: 15x2 – x3 – 43x – 19 Ax +B C D + rx +s The integral -dx can be rewritten as dx. (x+1)2(x²– 6x+ 13)…

A: Take partial fraction.

Q: For the functionf(x) given below, evaluate lim f(x) and lim f(x). X00 X→ー0 f(x) = cot- (14x + 2x')…

A: Given problem:-

Q: A (x -3) dy X +y -.

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Q: Select all that apply. Complete the general solution to y = arcsin -3. y = _+2k 3 5л O O O

A: Solving

Q: Find the limit. (Hint: Let x = 1/t and find the limit as t → 0+.)  lim x→∞ 2x tan(1/x)

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Q: 3x + 6A if x < -3 g(x) = 3 Ax – 7B if – 3 <x < 3 - x – 12B if 3 < x Find the values of A and B that…

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Q: The angle below measures 5.4 radians, and a circle is centered at the angle's vertex. 5.4 rad,…

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Q: Compute the derivative of each function. f (x) = e³x* += (cscx + sec x)² %3D %3D

A: Follow the procedure given below.

Q: ah4.

A: answer is in next step

Q: Evaluate

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Q: Solve for gb and gc. g(b, c) = (b - c) / (b + c)

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Q: Calculus Use the formula for the derivative of the inverse to find (ƒ ')'(1), where f(x) = 4…

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Q: Find the most general antiderivative or indefinite integral. 14 5x Зх+ 2) dx -3x+ 14 5x -3x+2) dx% =

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Q: Consider the following piecewise function: Find the values of the constants C and K that will make…

A: We have to find value of C &amp; K

Q: Given: Sox?er*+3, dx. Using integration by parts Sucv = uv - Svau), and letting u= f(x), dv= 3 g(x)…

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Q: Convert the polar coordinates (2, 57) to Cartesian coordinates. O (1, -V3) O (-1, v3) O (-V3, 1)

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Q: Find the absolute maximum and absolute minimum values of the function f(2) = a° – 6z² – 6 - 63z +4…

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Q: ² V1-x² dx x2 Use trigonometric substitution

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Q: f(x) Let lim = 2. Find limits below. f(x) + 6x (a) lim 2.x f(3x) (b) lim I+0 5x

A: Use the limit given above and simplify limit for a and b .

Q: Given the polar coordinates (1, – 7), which of the following would represent the positive angle?…

A: Given query is to find the equivalent polar coordinates.

Q: 3x2+ 7x+28 A f (x) |*+ A x³+x²+7x Using Partial Fractions in evaluating dx, the decomposed fraction…

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