2t dt (use trigonometric substituion) V9 – 4t2 -

Q: Find the value of f' () if f(x) = 2csc3x. 15 Your answer

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

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Q: The derivative of the function y = cot¬1(cscx) is: is: cSc X cot x y' csc x cot x y' csc²x+1 csc?x+1...

A: Find the derivative of the function

Q: d Compute [(2r* + 5)(4x–1] at x=} 2 24 Your answer

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Q: 36x2 + 25 dx x2

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Q: (1- y*)dx + (x° + e*)dy where C is the boundary of the region between the circles x² + y² = 4 and x²...

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Q: DÒ NOT include spaces in between characters. * Given F(x)= f(x)g(x) and f(2) = -3, f'(2) = 4, g(2) =...

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Q: A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 t...

A: The given problem is solved below in detail.

Q: = sec.x-/2 tan .x , find f' (=). %3D

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Q: Question 10 Determine whether the improper integral converges or diverges. dx 10 -9 A Diverges B) Co...

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: Rewrite the following integral using substitution: " s in3xdx

A: We can rewrite the integral using substitution as below.

Q: The solution of the non-exact differential equation (x*e +5dy + (1 +2x²e")dx = 0 is: O x^2 e*y+Inlyx...

A: To determine the solution of the following non‐exact differential equation.x3ey+xydy+1+2x2eydx=0

Q: fcac) fCre)ニ2x+5

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Q: Which of the following is/are true of f(x) =(x+3)*at x = -3? A. Continuous at r=-3 B. Discontinuous ...

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Q: What is the formula that would be used to calculate the trapezoid approximation of s82x dx using fiv...

A: we have to approximate the value of integral by using trapizoid rule

Q: BE F(x, y) = #ty? y I THE FIELD DEFINED IN %3D 1²+y² 1²+y? D = R? – {(0,0)}. CALCULATE $ F •d7, · d7...

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Q: Find the points on the graph of f(x) = where the tangent line is horizontal. x2+2

A: Given query is to find the points where tangent is horizontal.

Q: If f(x) = 3 cot ' + 4, then find the value of f'(-1) is.

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Q: The graph shown below is fx) = (x - 2)2. What is the integral function g(x) that defines the area un...

A: Given: f(x) = (x - 2)2 What is the integral function g(x) that defines the area under this line betw...

Q: Find 2x dA over the region R = {(r, y) | 0<z< 4,0 < y < 6} by identifying it as the volume of a soli...

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Q: 34x + 16 f(z) g(z) The partial fraction decomposition of can be written in the form of 8x2 - 14x + 3...

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Q: 1. Use the 8 step algorithm for c following function and to sketch 2 x +2x-4 d(x) %3D 2. Step 1: Res...

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Q: W. A. Mozart’s opera Die Zauberflöte is scheduled to premiere at Theater auf der Wieden. If the stag...

A: This question can be solved using the concept of area under curve.

Q: If 1200 cm² of material is used to make a closed cardboard box with a square base. Find the exact di...

A: This question can be solved using the concept of maxima and minima.

Q: 1. Complete the following tables of values to investigate lim(x? - 2x + 4). S(x) f(x) 0.5 1.6 0.7 1....

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Q: Find the compos Ite functions (f g) and (gn. What is the domain of each composite function? (Simplif...

A: We can answer all parts as below.

Q: The cost function for production of a commodity is given below. C(x) = 352 + 23x - 0.08x2 + 0.0005x...

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Q: If f(x) 4 cot r + 10, then find the value of f'(-7) is O 4 50 4 50 10 50 V50 7,

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Q: .fe* sin( -4x)dx

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Q: The sum of the entries in row 10 of Pascal's Triangle is: O 211 O 102 210 10 acer

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Q: Consider the parallelepiped with adjacent edges u = 9i + 7j + k v = i +j+ 6k w = i+ 9j + 4k Find the...

A: We can find the volume as below

Q: Use integration by parts to evaluate the integral:

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Q: Consider the following function and express the relationship between a small change in x and the cor...

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Q: Consider the following function and express the relationship between a small change in x and the cor...

A: Given query is to find the differential.

Q: DO NOT include spaces in between characters. TYpe your answers in the following order and format: a=...

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Q: Find the length and width of a rectangle that has perimeter 80 meters and a maximum area.

A: Given: Perimeter of rectangle=80 meters

Q: Determine the surface area generated when a portion of the curve in the first quadrant of y? = 1+ is...

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Q: 14 If f(x) : t? dt then f'(x) =

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Q: State the domain, vertical asymptote, and end behavior of the function.   g(x)=ln(4x+24)+1.1   E...

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Q: Find the centroid (, j) of the region bounded by: . y = 3x + 8x, y = 0, x = 0, and x = 6 %3D y =

A: The given problem is solved below in detail.

Q: Solve the problem. Round your answer, if appropriate. A man 6 ft tall walks at a rate of 3 ft/sec aw...

A: We can find the required answer as below.

Q: A spherical balloon is being inflated. Find the rate of increase of the surface area S with respect ...

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Q: The integral of tln i with respect to t is; © none of the given choices Oin-3)+c ln-1)+C

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Q: 4. Given the graph and function below, complete the table. Differentiable Continuous f'(x) Derivativ...

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Q: Find the area of the parallelogram that has u = 2i – j+ 2k and = 2j + 3k as adjacent sides. NOTE: En...

A: We will find the area of the given parallelogram in the following step.

Q: Srk to justiry a STAE Find the equation of the tangent plane to f(x, y) = In(/x² + y²) at the point ...

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Q: Find the area of the triangle with vertices P(1,6, –3), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the era...

A: As we know that; The expression for the area of the triangle PQR is; A=12PQ→×PR→   Given: OP→=1,6,-3...

Q: the length of the arc of the curve having the parametric equations x = t³ and y = 2t2 %3D %3D from t...

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Q: Given the following multiplication problem -0.3-0.6i -0.6 0.75 0.3-0.6i| V, Perform the multiplicati...

A: topic- matrices