If the Wronskian W of f and g is t'et, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary constant. Enter an exact answer. g(t) =

Q: Find the indefinite integral. (Use C for the constant of integration.) 15 COS x sin x dx

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) =  x...

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Q: 1. What does the following numerals represent? 51651 五万六百五 Input the numbers in decimal system. Do n...

A: 1. What does the following numeral represent = 50605 The number is =  5 times 10000 plus 6 times 100...

Q: A $25, 000 vehicle depreciates $1500 a year as it ages. Repair costs are $1500 per year. (a) Write f...

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Q: Find the area of the shaded region. y x = y° - 10 y 10 75 15 4' 2 -30 - 20 - 10 x = 5 y- y -5 - 10

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where approp...

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where approp...

A: This question is based on indefinite integral using partial fraction.

Q: 2. Find the equation of the plane tangent to the elliptic paraboloid z = point (1, 1,3). 2.a2 +y, at...

A: To find out the equation of the plane tangent to the elliptic paraboloid. 

Q: II. Solve the following problems. 1. Find the equation of the ellipse with foci at (-2,0) and (2,3) ...

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other ...

Q: Find the indefinite integral using the substitution x = 8 sin 0. (Remember to use absolute values V6...

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Q: Let fit)=F(t), where F(t) = 412- 5t + 5t Evaluate the following integral using the Fundamental Theor...

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Q: Which of the following is the general solution to the differential equation (x³ + xy)dy - (y² – x²y ...

A: First we will make it exact then solve it

Q: Evaluate the integral. 고-36 x² – 36 . 6cos- (승) +0 /x² – 36 - dx = Vx² – 36 – 6cos¬! + C x² – 36 (9)...

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Q: dy Find using implicit differentiation, for the equation æ4 + yt = 7 is dæ O O O

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Q: Find the first order partial derivative with respect to y of the function f (x, y) = x³y² + 3æe". 3a...

A: Differentiate given function with respect to y treat x as a constant. 

Q: dx Ji slx+4) 1 (r+4

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Q: (x² - x') 6. Reciprocal Substitution -dx 3

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Q: If f (x) =2r3+6x- 2, then what is f'(1)? %3D

A: We know that; The Sum/difference rule; f±g'=f'±g' The Power law; ddxxn=nxn-1 And c·f'=c·f' ; where c...

Q: 1- yy' = 2y– x;

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Q: SVx In(x)dx

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Q: dy 3 - dx2 4 y = 1/2 dy/dx = -1 when x = 1

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo_and then find the nth Taylo...

A: Taylor polynomial of f(x) of degree n about x=a is given by, pn(x)=∑k=0∞fk(a)k!(x-a)k

Q: e Wallis's Formulas to evaluate the integral. 'T/2 .3, cos xp (x),s

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Q: Find lower bound for f(n) = 5n².

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Q: Find the indefinite integral using the substitution x = 8 sin 8. (Remember to use absolute values wh...

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Q: (u) đu . Evaluate the Integral tanh

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Q: Which of the following differential equations that involves differentials? ô²y ¸ ô²z d*y + 5 y dx d²...

A: In this question we have to find which differential equation involve differential.

Q: " cos Inx dx Evaluate the Integral A - sin Inx + C B sin Inx + C cos Inx + C sin Inx D - + C

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Q: Analyze and sketch a graph of the function over the given interval. Label any intercepts, relative e...

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Q: Find the area of the surface generated by revolving the curve y = Osxs2/2, about the x-axis. 18' The...

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflect...

A: The graph is shown below:

Q: Given f(x, y) = ln /æ²y³. What is the value of fy (1, 2)? If the answer is a fraction, write your an...

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Q: Write out the form of the partial fraction decomposition. (Do not find the numerical values of the c...

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Q: Let v = (5,7). Which of the following is the direction of v? Arctan Arctan Arctan Arctan

A: Given v=(5, 7) We have to find direction of vector

Q: Given the power series, (x+7)" determine its radius and Σ 2n Vn2 – 1 interval of convergence. 3 n=2

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Q: Find the coordinates of the centroid of the solid generated when region bounded by x2 + y2 – 2y = 0 ...

A: The given curves are: x2+y2-2y=0 y=2-x

Q: Express your answer in rectangular form both in EXACT value and approximate value. Round off approxi...

A: z = -256 - i2563We need to find 9 roots of 'z'.   -------------------------------------------  

Q: a. V3cosxcscx = 2cosx

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Q: Let P(-1, 1, 3) and Q(-3, 1, 5) be points in R3. Find the components, magnitude and direction angles...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: This is problem of sequence calculation. Based on the general formula and test available we will ans...

Q: A company rents cars at $45 a day and 12 cents a mile. A second rental company's cars are $60 a day ...

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Q: Justine and Ashley are partners in solving problems involving derivatives. They agreed to solve the ...

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Q: Graph the continuous function with the following properties. f is even f'(0) and f"(0) are undefined...

A: We have given some conditions:f is evenf'0 and f''0 are undefined but f' is differentiable everywher...

Q: If f (x) =2x³+6xr- 2, then what is f'(1)? %3D

A: Solve the derivative of the function for given value

Q: Lim as x approaches 0  1-cos(5x)+sin(3x)/x

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Q: 2х + 7, х 7 From the following results, determine whether the function f(x): is continuous at x = 7...

A: I am attaching image so that you understand each and every step.

Q: Sketch the region enclosed by the given curves. y = 3/x, y = 12x, y = 12 x > 0 y y 8- 8- 6 4 2 4 8 1...

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Q: Given f(x) = 2/x + 5 and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x)).

A: Let's find. 

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflect...

A: To find the relative maximum.

Q: Assume that the following relationship is known to be true for two angles A and B: sin A cos B - cos...

A: The given relationship,     sinA cosB-cosA sinB=0.133599