Find the reference angle 0'. e = -125° %3D 0' =

Q: Suppose f and g are continuous functions such that g(7) = 4 and lim 3f(x) + f(x)g(x) = 21. Find f(7)...

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Q: x*dy + (2.xy – y² }tx = 0 Let the substitution y=2; y=vx; dy=vdx+ xdv

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Q: Center of Mass: Thin plate (region in the plane). Suppose Ris the region bounded by the graph of f(z...

A: Given:     f(x) = 4√x    Interval: [ 0 , 16 ] 

Q: Evaluate tan xdx O -V2 0 2 In 못 2 In 꽃 O -2 1n v2

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Q: The figure shows graphs of f, f', f", and f". Identify each curve, and explain your choices. Figure ...

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Q: 1. y'dx-(xy + y dy = 0 Let the substitution v=2; y = vx; dy=vdx + xdv

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Q: Determine the values of x for which the given function is undefined. (Let k be any integer.) y = co...

A: To determine the values of x for which the given function is undefined. y = cot x 

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

A: Let's find. 

Q: Write an expression for the distance w in terms of x. - 2y +1

A: Topic:- geometry 

Q: Find the Domain of 3=|7x-31 (x¢4/

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Q: y = C,e²x cos(3x) + C2e2x sin(3x)

A: y=c1e2xcos3x+c2e2xsin3x  differentiate with respect to x dydx=C1(e2x3(-sin3x)+2e2xcos3x)+C2(e2x3cos3...

Q: The radius of a circle is 8 inches. Find the number of radians in the central angle of the circle wh...

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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: Q4. (a) Evaluate the definite integrals: (i) ſ(2 – 5/1 – x² }tx_ (ii) [sin 2x cos 2x dx (iv) [": 'V1...

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

A: Using variable separable method.

Q: 4.a) Is the equation Exact? * (y2 – 2xy + 6x)dx + (-x² + 2xy – 2)dy = 0 O Yes, the equation is exact...

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Q: Initially 100 milligrams of a radioactive substance was present. After 9 hours the mass had decrease...

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Q: The number of a particular fish in thousands x years after 1971 can be modeled by f(x) = 230(0.888)*...

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Q: The range of F in F(x) = 2 sin x; - < x< 2 T is: %3D -2SF(x)SO F(x)S2 ) -2SF(x)S2 O O

A: Given:- F(x)=2 sinx  ,-π/2 &lt;x &lt;2π To find:- Range of F(x)  

Q: zetch the region(s) enclosed by the given curves. Find the area oft y = r and y = VI 11

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Q: A function f(x,y) is homogeneous of degree 7 in x and y if and only if, __________.

A: Given problem is solved below.

Q: Find the limit , if it exists:(Do not use L'Hospital's rule) 16 lim 2→16 16 Note: Give the exact ans...

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

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

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

Q: 4. (3 coshm +ecoshm sinhndm

A: Given that: ∫(3ecoshm+ecoshm)2.sinhm.dm

Q: What is the differential equation of the family of ellipses with their centers origin and their majo...

A: Let us solve the problem using the basic equation of ellipse  later we will use different methods to...

Q: 2e*dx where e = 2.7183 %3D

A: Given: I=∫012exdx   As we know from the integral; ∫a·fxdx=a·∫fxdx, where 'a' is the constant. And ∫e...

Q: 2. x'dy+(2ty– y°l&x =0 Let the substitution y=²; y=vx; dy=vdx+ xdv

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it d...

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Q: 2) Use the change of variables formula and an appropriate transformation to evaluate fſ, xy dA where...

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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: 1 2e*dx where e = 2.7183 0.

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Q: [4x°cos(xy)-x*ysin(xy)– ye" +3x³]dx -[x°sin(xy)+ xe" +6y°]dy = 0

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Q: Evaluate each of the following indefinite integrals. (a) J5t – 10t-6 +4 dt (d) Say (b) Jx° +x° dx w+...

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Q: 1- メー」 メ メ+ 2- you 3- 3+13 y= メー/3

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Q: Determine, without graphing, whether the given quadratic function has a maximum value or a minimum v...

A: Topic:-  calculus

Q: 1. Find the equations of the normal and osculating planes of the curve x = Int, y = 2t, z = t? at th...

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Q: P3.A: Find the area bounded by the curve y = (X 2)(x+ 1)(2x - 1) and x-axis.

A: Given curve is y=(x-2)(x+1)(2x-1) area between curve and x axis is required to find.  

Q: The weekly cost for a small confectioner to produce g chocolate bars is C(q) = 1700 + 0.12q + 0.001g...

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Q: Draw a graph of a function that satisfies the following properties.  1) f(x) 0 for x>0 3) f(0) = 0...

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Q: cosh(2.r) - 1 6. (a) Show that sinh (r) %3D 2

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: 23. Solve for x: 3ax-1=4 24. Solve for x: 3ax-4a =7+3ax 25. Solve for x: 3ar-4ax =7+3a

A: As we know from the fraction rule: a-b=-ab 23). Given: 3ax-1=4  ...(1)  

Q: ()- 2y on [–10, 15]. Determine the absolute extrema of f (y) = sin

A: Here we have to find the absolute extrema.

Q: 4- y 2- 4 10 12 -2- -4 (a) I f (2) da = 10 (b) f (x) dx = 12 (c) A f(2) da = -5

A: To solve the following problem

Q: S The graphs of the polar curves r1(0) = cos 0 and r2(0) = 2 sin 0 are shown in the figure above. (a...

A: The given curve are: r1θ=cosθ       and       r2θ=2 sinθ

Q: 4. Find the linear approximation for f (x,y) at the point P(2,-5). Use this to %3D estimate f(2.05, ...

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Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. So e VE dæ ...

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Q: х - у ·+1 х+у y 2. ||

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Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if, 5x'-2y 8x +3y 2. The fun...

A: Solution ) A function f(x,y) is homogenous of degree 7 in x and y if and only if f (kx , ky ) =k7f(x...

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