The distance from the center of a hyperbola to its vertex is larger than the distance from its center to a focus. (A True (B False

Q: use Substitution method to Schve (3メ -2Y +1)dx -(X-2Y-3)dy=o

A: Given:   3x-2y+1dx-x-2y-3dy=0

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A: Given: -The ordinary differential equation is, y''-3y'+2y=3ex+2e2x To find: -The solution of the giv...

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A: Given: -The legs of a right triangle are 16cm and 12cm, respectively. The first leg decreases at 12c...

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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Q: Use the General Power Rule to find the derivative of the function. g(x) = V7- Sx

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Q: sec x dx Vcot x 2.

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Q: Sketch the region enclosed by the given curves. 1 у %3 2/х, у 3 8х, у %3D —х, 2 x > 0 y 5 4

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Q: Consider the following function and point. f(x) = x3 + x + 9; (-2, -1) %3D (a) Find an equation of t...

A: We can find the equation of tangent line to the graph as below.

Q: Use the properties of logarithms to expand log . Each logarithm should involve only one variable and...

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Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 2. y = (x2 – 3)2

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Q: Prove the following identities. sin 3x v 3 sin x - 4 sin cSC X - 2 sin 3 sec x - 4 sin

A: Given query is to prove the identity.

Q: Given: sin A= and A is in the second quadrant; evaluate the following expression. %3D tan 20 = 4V5 -...

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Q: Sun. Mon. Tues. Wed. Thurs. Fri. Sat. number of births 13 24 19 25 15 21 15 probability...

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Q: (y+2xy")dx +xdy = 0

A: First order differential equation :           Consider the differential equation                   d...

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Q: 2. Find the area of the region bounded by the graphs of y = x2 – 6 and y-3 0.

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Q: A Norman window has the shape of a rectangle surmounted by a semicircle, as shown in the figure belo...

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Q: a & C

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Q: SvX (n x dx

A: Let I=∫xlnx2dxApply integration by part.I=lnx2∫xdx-∫∫xdxddx(ln(x))2dx I=lnx2x12+112+1-∫x12+112+12ln(...

Q: In the previous step we determined that [(t - 2)°] = 35t°(t' – 2)4. Use this to complete the derivat...

A: Given query is to find the derivative of the expression.

Q: Evaluat..f.x.dA. wha.is.the..sgiem.in.the.fiigt. R quandrant..bounded..xy=16. X..8....y.z.. y.e.x...

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Q: Find the radius of convergence and the interval of convergence. 2 K(k + 1) 1) First apply the Ratio ...

A: The given series is: ∑k=1∞xkk(k+1)...(1) So, ak=xkk(k+1); k≥1

Q: mine where the function is concave upward and where it is concave downward. (Enter your answers usin...

A: Given query is to find when function is concave up and when concave down.  

Q: For the polynomial below, 2 is a zero. f(x) = x + 2x - 7x - 2 Express f (x) as a product of linear f...

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Q: 3. Let an be the sequence defined by a1 = 1 and an for - ... n > 1. (a) Calculate the first four ter...

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Q: I. The Fisher effect theorizes that nominal interest rates observed in financial markets must compen...

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Q: For the next six questions, consider the differential equation: y" + 4y = g(x), 9(r) 0 Determine the...

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Q: Find the value of the limit x² + y? lim (x,y)→(0,0) 2x + y (You can consider using the polar substit...

A: Limit  =  0 When both variable are in sum and squared form then trigonometry subsitution results in ...

Q: ce the appropriate limit laws and theorems to determine the limit of the sequence. 12" C, = n! se sy...

A: Please refer to the image below

Q: 1. Find the area of the region bounded by the graphs of the equation y = x and y = x2.

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Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

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Q: Given: sin a= & in Quadrant I and cos 8= - 12 in Quadrant Il; evaluate the following expression. tan...

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Q: (a) Find (g/f)( x) and (fog)(x) for the functions f(x) = x2+ x and g(x) = - 2x+3. 1 a) g/f: fog: (b)...

A: Given f(x) = x2+xg(x) = -2x+3we know that fg(x) = f(x)g(x)and f∘gx = f(g(x))

Q: Which graph shows the function f (z) = tan z? 2- 0. 2x -1 12 4 3 2 -1 -2 Cunpy

A: Topic:- trigonometry   

Q: 5**+2x (2x3 +1)dx *(2x3+1)dx

A: I have stated the used formulas in the solution.

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: 4. y = sin(cos 3x) – sin x cos 3x

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Q: What is the derivative of (3x^2tanh(sin4x))

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Q: O f)= e* +2x² +6xt7 -3+2y = 4x" Solue the

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Q: Use the Chain Rule to find the derivative of the function. y (4x2 - 7)3 %3D

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Q: Evaluate ! d(cos x – x)

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Q: sin( - B) = V2 (cosB - sinB) 2 (sinB- cosB) O 2 (cosB + sinB)

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Q: Odr + (2r +1- Or) d0 = 0

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