Determine whether the integral is converget or divergent. If it is ca (x-4)3/2 The integral is (convergent/divergent) Show your work separately and submit it using the assignment I Use "pi" to represent the symbol Tt and write exponents using t QUESTION 5

Q: 1. Find: (a) the intervals on which f is increasing, (b) the intervals on which f is decreasing, (c)...

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Q: y′ =x+1/y4+1 when x = 0, y = 0, Find the general and particular soln.

A: Given: y'=x+1y4+1   Use the variable-separable method to solve the given differential equation. Now,...

Q: Let RR be the first quadrant region bounded on the left by the yy-axis and between the graphs of f(x...

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Q: S(x, y, z) = 2x'y²z²

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Q: d Az3+7z+8, -4z3. dz d 3. (x)(3x² – 9) 2.

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Q: What is the equation of the vector in a Cartesian coordinate system that originates from the origin ...

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Q: Find the tangent line to f(x) = (2-4x^2)^5 at x=1

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Q: 2. Find the equation of the tangent line to the parabola y = x² – 8x+9 at the point (3, –6)

A: Given y=x2-8x+9 Formula: dydx(xn)=nxn-1 dydx(k)=0, where k is a constant Consider y=x2-8x+9 Differen...

Q: If convergent evaluate

A: Given, ∫-232x4dx

Q: 3. For each of the following functions, determine whether it is one-to-one, onto or one-to-one corre...

A: Solution is here

Q: Evaluate the integral. Give an exact answer. V2/2 7x2 dx = [Ans] 1-x2 Show your work separately and ...

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Q: dx If x2 + y2 + z2 = 9, dt dy 6, and dt dz when (x, у, z) %3D (2, 2, 1). dt 3, find %D %3D dz dt II

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Q: A. Find the standard (slope-intercept form) equation of the tangent line to the following: f (x) = x...

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Q: Find the volume of the solid obtained by rotating the region enclosed by the curves f(x)=x^2+8 and g...

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Q: 27 4 1422 Evaluate the integral: 36 - (A) Which trig substitution is correct for this integral? Ox =...

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Q: y = x? + C,x + C2e¬*

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Q: Let 0 be an angle in standard position. If P(-1, 2) is a point on the terminal side of 0, what is th...

A: Topic:- trigonometry ratios

Q: 4. Let V(t) be the amount of air in a balloon at any time t, find out whether the balloon is being f...

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Q: In problems 1-8 find the least order DE which has the general function as its general solution: 1. y...

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

Q: S(x5 + 10)®x*dx 4 X.

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Q: 11:55 ll Untitled docu... ΑΛΑΑΑΑ Α ΑΑΑΑΑΑΛΑΑΑΑ Α ΑΑΑΑΑΑAAΑ ΑΑΑ 15. A function ƒ(1) gives the rate of...

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Q: 6. By converting to spherical coordinates, evaluate 22 dz dx dy. 0.

A: triple integral

Q: Let f(x) = |r|. The derivative of f at a = 0: Question 1. a) Equals to +1 b) There are infinite poss...

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Q: (Ā+B) • Č, if à = (1, 2, 3), B = (-2, 3, 0) and Ở = (5, 3, 2) Solve for А. 10 В. 12 С. 14 D. 16

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Q: D 45.5° 11. Choose the best answer. Use double-angle identities, 2u = 48 to find sin 2u. O 0.7431 O ...

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Q: tan-0) = T then tan 0 is equal to O 2 O 4 3 O 1 4

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Q: Suppose R is the region bounded above  by the graph of f(x)=8x−x^2 and below by the graph of g(x)=x ...

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Q: Which of these statements is/are TRUE? 1. If sec A is undefined, then cos A = 0. II. If tan B = cot ...

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Q: 4. (8 points) Find a vector parametrization for the intersection of the plane x +y+z = 3 and the cyl...

A: Use polar coordinates for Parameterization

Q: tan (log x) 2 dx 2 x(1+log*x)

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Q: 7. Find : y = (x* = 5«)a0n 5x, (b). y = x2

A: We can find the derivative as below

Q: From 15-17 determine what type of discontinuity is presented A. Jump B. Essential C. Remove D. No Di...

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Q: Find the angle of intersection of the plane 2x+3y+5z=−32x+3y+5z=−3 with the plane 3x+2y−1z=0

A: Given: - The plane is, 2x+3y+5x=-3, with the plane 3x+2y-z=0 To find: - The angle of intersection of...

Q: dr Evaluate the integral: 3/2 49 - (A) Which trig substitution is correct for this integral? 1. sin(...

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Q: y"+12y'+37y=10(e^-4t) @y(0)=4, y'(0)=0

A: Given: y''+12y'+37y=10e-4t So, we can also write as: D2+12D+37y=10e-4t The auxiliary equation is: m2...

Q: One of the parts in the proposed design of a gadget is a tapered cylinder. It is made by decreasing ...

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Q: Find the General Solution 1. x(x2+1)y' +2y = (x2+1)3

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 7 – 1 - x, and the line perpendic...

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Q: 3. In problems 1-8 find the least order DE which has the general function as its general solution: ,...

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Q: Evaluate S2 sin? x cos3 x dx

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Q: 2. Evaluate the following iterated integrals. (») L rey dy dx In(a² + y? + 1) dx dy (b) 4- y

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Q: Determine whether the lines L1:(x−22)/7=(y−17)/7=(z−19)/7 and L2:(x+15)/8=(y+22)/9=(z+22)/10 inter...

A: NOTE: Refresh your page if you can't see any equations. . the first line is  write the given line i...

Q: *n/3 27. tan'x sec*x dx 28. tan (2x) sec (2x) dx /3 29. tan'x sec x dx 30. tan'x sec°x dx 31. tan'x ...

A: solve integration  

Q: Find the first devdivative 2. 2. u = x2+ 2 ut1 %1 ).

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Q: X-3 -4 x2-3x-40

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Q: . Find the area bounded by the curve f(x) = (2+x)(x – 5), the lines = -2, line = 0 and the x - axis.

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Q: Obtain the solution of the following differential equations. 7. xy′ − y − 5x^4 − 3x^2 + 2x = 0

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Q: Evaluate the integral: ap- (A) Which trig substitution is correct for this integral? Or = 10 tan(0) ...

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Q: 1. Let f(x, y) = sin(x² – y). Compute fry.

A: Given that: f(x, y)=sin(x2-y)

Q: xdy – ydx – /x² – y?dx = 0 -

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