If log, (5x + 6) = 5, then x = You may enter the exact value or round to 4 decimal places. > Next Question

Q: provide a step by step solution to the following equation dy/dx + 2xy + xy⁴ = 0 answer: 1/y³ = -½…

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Q: A long metal sheet with a width of L meters is formed into a gutter by bending up two of its sides…

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Q: convergent or divergent. Please provide detailed solution. a) : E 10" n=1 (n + 1) 52n + 1 00 -5n 2n…

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Q: degrees

A: We will find the degree of freedom.

Q: Graph the function. Use the graph to find the indicated limit, if it exists. x3 x20 lim f(x), f(x) =…

A: Let's find.

Q: x*dy tly' txy) (y+xy)dx =0 3-

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Q: 5. If sin 0 = and 0 in the first quadrant, find cos 20.

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Q: Find the shaded area shown on the picture below. The function graphed there is f (x) = x² – 4 5 4. 3…

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Q: By writing the summation of the two power seriesE 2nc, x"+ E 6c,x* 0, we obtain: Ze + o[2(k + 1)ces…

A: We have: ∑n=1∞2ncnxn-1+∑n=1∞6ncnxn+1=0...(1)

Q: the Area that lies inside r=3+2 sin 0 out side r=2 is

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Q: Using decomposition into partial fractions, 4x2 + 2 -dx x(x² + 2) is equal to In|x (x² + 2)| + C…

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Q: Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

A: Given problem:- Find the angle of the largest right circular cone which can be inscribed in a sphere…

Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) =…

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Q: The integral dx Vx² – 4 3 -2

A: To evaluate the given integral

Q: Find a series solution about the ordinary point 0 of the differential equation y"+8xy'-4y-0 O None…

A: Given

Q: cos(xy) + secy = 5

A: Find your answer below

Q: Find the equation of the tangent line at the given point on the curve. xy? = 36. (1,6) The equation…

A: This question is related to equation of straight line, we will solve it using given information.

Q: 3) [- y" + 3y - 4y = 20, | Given the IVP: У(0) %3D 0, у(0) %3D —5. A) Use the Laplace transform to…

A: Solving

Q: Solving by variation of parameters y"-3y' x the general solution is: O None of them O c_1+c_2…

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Q: Using appropriate trigonometric substitution, dx xV4 – x² is transformed to S sin 0 d0 sec 0 d0 2 2…

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Q: 6. Figure out the following limits without applying L'Hopital Rule. sin(r- 4) V2r -1-1 b. lim (2²…

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Q: re' dy + +1 dr =0 O (y – 1) e + + In z = C 2. O-(y+1) e + Ine =C 2 O (1- y) e + 1. O 2y - e + +In=C

A: To solve given differential equation

Q: Using two or more complete sentences, explain how to find the sum of the geometric series. n-1 4 n=1

A: Infinite gp

Q: The maximum value of x +y subject to the constraint x² + y² = 1 is Write in decimal form (two…

A: We have to find the maximum value of given function.

Q: 9- Find the coordinates of the absolute maximum an d minimum points for f(x)=2x²-x* given x €[0,4] :

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Q: Express the limit as a definite integral on the given interval. -Дх, [1,4] (x;)2 + 9 lim i = 1 dx

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Q: A population of bacteria is growing according to the equation P(t) = 2000e0.05t. Estimate when the…

A: Given query is to find the Indicated time.

Q: Using appropriate substitution, sin³ (3x)cos*(3x)dx is equal to -cos"(3x) + cos"(3x) + c - cos (3x)…

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Q: In two or more complete sentences, explain how to find the third term of the expansion of (2x+y)4.

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Q: 6. The equation 4 (x – 1)2 + 4 (y+ 2)? + 4 (z – 3)² = 1 represents a sphere. %3D 6.1. What is its…

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Q: 5. The partial graph of y = logb x passes through the point P (2,0.5) and Q (a , 2). The value of a…

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Q: The particular solution y, of the differential equation y" + 4y' + 4y = 3x? + 1 is (1/8) (1-2x+6x^2)…

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Q: 8. Amanda invests some money for her retirement. The account pays 9%/a compounded quarterly. How…

A: I have stated the used formula in the solution

Q: y = x* Inx dy : =x³ +4x° Inx dx O Op tion 1 None of these dy - -x -4x° In x dx =x² -4x° Inx dx O…

A: Explanation of the answer is as follows

Q: 5. (1 + e*/") + e*/ dy

A: Solution

Q: Evaluate the following integrals. 4x545 2. 3. fx Vr? - 4dx 4. S(2- sin 4r) dr

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other…

Q: 24 – 44 dy 2+ 4y с.

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Q: Question 2 ( x? Consider the function f(x) = . x2 -1 (a) Find the intercepts of the graph of f (if…

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Q: If Ax) = Vx -1 and g(x) = x+ 1, which expression is equal to fAg(x))? 1+ー1 Wx²+2x (x + 1) - 1 ベズ+x-1

A: Solution:

Q: Express the series using sigma notation -5 + 10 - 20 + 40 - 80.

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Q: Given the following differential equation (E): y" + 2y' + 5y = 0. The solution of (E) is: O None of…

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Q: Using the substitution x = sec 0, dx S: J x2Vx2 _ 1 where x > 1, is equal to

A: We can find the answer as below.

Q: A kite is flying at a constant height from the ground at a speed of 2m/s. If the kite maintains the…

A: Draw a schematic diagram of given figure.

Q: 4. State and prove the law of sines in triangles. 5. Prove lim,0 V2r + %3D 6. Figure out the…

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Q: Solving by variation of parameters y" – 3y' = x the general solution is: None of them c_1+c_2…

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Q: Find the ff value in the matrices. PART I IF P= A+B find the value of the following # 1 P1 # 4 P21 #…

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Q: Solve the second derivative(y") of the following

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Q: x-1 y = log x+1

A: Topic:- derivatives

Q: 12 Indicate a general rule for the nth term of this sequence. 6m, 3m, 0, -3m, -6m, . . . a n =…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: Explanation of the answer is as follows