Use the Law of Cosines to determine the indicated angle ?. (Assume a = 126.5, b = 60.7, and c = 155.5. Round your answer to the nearest degree.) ? =  °

Q: Use the Integral Test to determine whether the infinite series is convergent. 16ne-n? n=6 Fill in th...

A: ∑n=6∞16ne-n2

Q: x^3 + 3x^2 – 1 = 0, [-3, -2] Use the Fixed-point iteration method and Bisection Method  to find solu...

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Q: d) The function +(xy)-r*r2y) exp G 18xy is homogencous in of degree X and

A: The given function is: f(x,y)=(x2+2y)e2xy+8xy...(1) The function f(x,y) is said to be homogeneous fu...

Q: 5. Some integrals might seem complicated. But they will simplify significantly if you look at them i...

A: NOTE: Refresh your page if you can't see any equations. . factor out  .............(1)

Q: Evaluate the following expression. sin 5 O 1/2 -1/2 V3/2

A: Topic = Trigonometry

Q: 6x Find the vertical asymptotes (if any) of the graph of the function h(x) %3D 36-x2

A: Given :   hx=6x36-x2

Q: Clearly sketch in R3 the graphs of (a) y = z, (b) x = – 4.

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Q: xydx – (x+ 2y)² dy = 0 b.) -

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Q: 5. ) lim x-0 x +1 x2 +9 (b) lim (7 -2) 1 x2 +9 (c) lim- (d)lim n-00

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Q: dy Find , if dx y = 3u – 2 and u = 2x² - 4. dy Preview dx

A: Topic = Derivative

Q: (siny – 2ye*sinx)dx +(cosy + 2e*cosx)dy = 0

A: Given differential equation (sin y -2ye-x sinx ) dx+ (cosy+2e-x cos x ) dy=0

Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if, , 5x -2y' 2. The functio...

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Q: 6. Determine the value of the constant a for which the function g(x) is continuous at x = 1 x2 + 5x ...

A: This is a limit and continuity problem

Q: A stalk of corn grows from a height of 1 foot to a height of 7 feet in 2 months. What is its average...

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Q: Given the differential equation y" - 8 y' + 16y 7x e* And the Solutions to its Characteristic Equati...

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Q: cotxdx + ysin?xdy = 0 %3D

A: Using variable separable method.

Q: 5 The function f (x, y) =| x² cos² is homogenous in x and y of degree,

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Q: What is the differential equation of the family of lines whose sum of the intercepts is fixed as k ?...

A: Given:  What is the differential equation of the family of lines whose sum of the intercepts is fixe...

Q: 4. Find the equation of the plane that passes through the point (5, –1,0), and is pendicular to the ...

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Q: The function in the figure below has f(4) 21 and f' (4) = 1.8. Find the coordinates of the points A,...

A: Given that: f(4)=21, f'(4)=1.8

Q: n 2. Determine whether the sequence a, is a monotonic bounded sequence. n2 + 1

A: Given that: an=nn2+1

Q: dx 4. Evaluate the integral by trigonometric substitution: , Væ²-9

A: We can find the integral using trigonometric substitution as below

Q: ரட தொம் Graph く メ- Y O ソン 2 ミーX 3. 2. メ4

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Q: d²y Solve: dx2 dy + 42+ 4y = 4x²e¬2x, cos 2x %3D dx

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Q: f(z) can be written in the form of g(z) 47x + 2 The partial fraction decomposition of 12:2 + 5x – 2 ...

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Q: g(z) h(2) If f(z) = then f'1) -

A: Given that:f(x)=g(x)h(x)                        

Q: id the Domain ol y= Tx-31 (x¢4/

A: Follow the procedure given below. Domain means value of x that defines the function.

Q: /16 Evaluate the integral: dx 3x2 (A) Which trig substitution is correct for this integral? x = 4 se...

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Q: Choose the correct graph of y = cos x, < x<: 2 1 27 -3. 3.7 -1 -2

A: y=cosx,π2&lt;x&lt;3π2

Q: A child is on a swing. At its highest point, the swing is 5 feet above the ground. At lowest point, ...

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Q: At time t = 1, a particle is located at position (x, y) = (4, 1). If it moves in the velocity field ...

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Q: 4. The function f(x, y)= (x² +2y² )exp| . +8xy is homogenous in x and y of degree 5 The function f(x...

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Q: f (t) = 2 (sinh t) (sint)

A: The given function is: f(t)=2sinh(t) sin(t)

Q: Pumping Liquids From a Container An engineer, for example, may want know how much work is required t...

A: we can solve this question with the help of integral  we took an element  of thickness dy in the con...

Q: Use the Integral Test to determine whether the infinite series is convergent. -n2 16пе n=6 Fill in t...

A: This is a question related to series and sequence calculation. For using integral test for given ser...

Q: T26 = – 454 and T43 = – 760 are terms of an Arithmetic Sequence. Determine... 1) ...the first term (...

A: T26=-456T43=-760  T26=a+25d         -454=a+25d  T43=a+42d     -760=a+42d solve the above two equatio...

Q: IV. Obtain the 2nd Derivative of the given function. 7. 4y – xy? 1

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Q: 6+ -6 -5 -4 -3 -2 The graph above is a transformation of the function f(x) = |x]. Write an formula f...

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Q: Consider the series > 5e". n=0 a. The general formula for the sum of the first n terms is Sn (5e( 1-...

A: This is a problem related to series calculation. Based on the simplified terms it was observed that ...

Q: 9. Use the Intermediate value theorem to show that f(x) = 2x( – 3 has a zero in the interval [1,2].

A:

Q: The maximum value of F in F(x) = - 4 cos x is 2 4 1

A: We know range of cosine function is [-1,1] Therefore maximum value of f(x)= -4cosx is, f(x)=-4cosx F...

Q: Given the differential equation y" + 4y' - 12y 5x e7* And the Solutions to its Characteristic Equati...

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Q: Solve the following second-order differential equation: y" + 4y' + 5y = 8x sin æ

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Q: (ve"cosy - 3)dx +N(x, y)dy = 0

A: Differential equation of form M(x,y)dx+N(x,y)dy=0 is said to be exact when it satisfies the conditio...

Q: Perform the following operation. Write the answer in scientific notation. 0.000009 3,000 0.000009 3,...

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Q: x(/x+y) +у) — 8 — ху

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Q: Find the orthogonal trajectories of the family of ellipses with centers at (0, 0) and two vertices a...

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Q: x^2y=4+Cy Eliminate Arbitrary Constant

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Q: 3) y' dx-(xy+y*) dy-o Let the substitution v= i y vx; dy-vdx+xdv %3D )x*dy+(2xyy*) ax -o Let the sub...

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Q: 1.Determine if the following statements are mathematical or not. Provide solution.

A: Given that: