аx2а (х2а+1)* dх ax²a

Q: Find the solution of the given initial value problem in explicit form. sin(2r) da + cos(6y) dy = 0, ...

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Q: For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates the ...

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Q: 7. Determine which of these positive integers are a) 1,5,7,11,13,17,19,21, 23,25, 29,31 b) 1,5, 7,11...

A: We know that  Two numbers are said to be relatively prime if their greatest common divisor is one. F...

Q: Given that is the series (k +1)4/4k+1 1+ k: 1 lim k→+0 lim k→+0 4 (-1)*;4 4k is the series condition...

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Q: Consider the integral arctan(x)dx where -Is. a<bs I. Making the substitution u=-2x , determine the d...

A: We have to find new function and upper bound

Q: The figure to the right shows d 1 - sin x and y 4 1 sin x + 4° || 1 sin x? Find values 4 Which graph...

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Q: If f(x)=10sin(x)+3cos(x) , find a function g so that g"(x)=f(x) given that g(0)=0 and g(2)=12 . g(x)...

A: Given query is to find g(x).

Q: In the decomposition a = aTT + aNN, what do aT and aN represent?

A: Solution: Given data, a = aTT + aNN

Q: Solve the exact differential equation. If the given is not exact, determine the integrating factor t...

A: We have to find complete solution of differenrial equation

Q: A trough is 3 m long, 5 m wide, and 4 m deep. The vertical cross-section of the trough parallel to a...

A: Find your answer below 

Q: 6. Let T: R → R be defined by T((a, b,c)) = (a, a – b,b + c). Determine whether T is a linear transf...

A: 6. T:ℝ3→ℝ3 be defined by Ta,b,c=a, a-b, b+c

Q: line perpendicular to another line y=7x; P(9,21) The ec ation of the normal line

A: We will find equation Of normal line. 

Q: 2-4 (2+4) Ba+C True or false? can be put in the form Explain. 2+4

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Q: Find a number a so that the tangent lines to y= x° + 11x +x + 13 at x = a and at x = a+ 1 are parall...

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Q: Evaluate the integral below by following the steps given. 1 xp= x2 I || 6/ a.) Show that the substit...

A: Given: I=∫19-x2dx  ...1   As we know from the trigonometric identity: sin2θ+cos2θ=1 And ∫a·fxdx=a·∫f...

Q: Describe the surface of 4z2 – 4x² – y = 4 - |

A: The general equation of a  hyperboloid on two sheets is given by x2a2-y2b2-z2c2=1 notice that there ...

Q: Find the Taylor polynomials of orders n = 0,1,2,3, and 4 about x = x0, and then find the nth Taylor ...

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Q: 1. Given that r(t) = t²i+tj + 2k. Sketch the curve with the given vector equation. Indicate with an ...

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Q: Let sk En(0.1)" n=1 Find s9.

A: Given that sk=∑ n=1k n (0.1)n -(i) Our Aim is to find s9=?

Q: A population of protozoa develops with a constant relative growth rate of 0.7943 per member per day....

A: A population of protozoa develops with a constant relative growth rate of `0.7943` per member per da...

Q: Find average rate-2x^2+3x+5. X=-3 to x =9

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Q: Let R = [0, 12] × [0, 12]. Subdivide each side of R into m = n = 3 subintervals, and use the Midpoin...

A: The solution is given below

Q: 12

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Q: ge false. If true, you must explain why. If false, you must give a concrete counterexample (with num...

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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral wi...

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Q: 2xyy'=1+y^2 solve using separation of variable (diff eq) when y=3 and x=2

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Q: 12. Let F (x, y) : that = esin x+cosy (cos x,– sin y) and C = {(x, y): x² + y² 0. Show [ F- dR = 0 ...

A: Here we will use the Stroke's Theorem to prove the result.

Q: R has degree 4 and zeros 3 − 5i and 3, with 3 a zero of multiplicity 2.

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Q: 15 1야 -5 10 /15 -20 -15 -10 20 -5 -10 -150 -20 lim f(x) x--5 -5 lim f(x) 10

A: Topic = limits

Q: INTEGRAL Evaluate the following: S(a- S (a – x)-³dx 3.

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Q: dy Which of the following is the general solution to the differential equation dx e x+ In x = C y ex...

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Q: 1 — п b. 2n + 1 n=1

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Q: 2. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction...

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Q: Obtain f (x) as a polynomial in x using Newton's divided difference formula for the following data. ...

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Q: Find the points on the curve y-9x closest to the point (0, 4). ) and (O

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Q: Given the series: 1. k+3 does this series converge or diverge? diverges converges If the series conv...

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Q: 3. Given that r(t) = 3 sin ti+3 cos tj+4tk (1) Find the length of the curve for 0 <t<T/2 (2) Reparam...

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Q: (MULTIPLE CHOICE) Which of the following is(are) differential equation (s) with homogeneous coeffici...

A: To determine which of the following is(are) differential equation(s) with homogeneous coefficients.A...

Q: 10. Using the method of undetermined coefficients, write the form of the assumed particular solution...

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Q: Edit Find a formula for the graph shown in the figure in terms of sin x or cos x. 15 5 -10f(x)+ 5 37...

A: Here mid line is y=5. Amplitude is 10 ( graph is above and below the mid line 10 units.)

Q: 1 2x-9 13 Evaluate lim 1 x→-2 - 2x+8 4

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Q: Determine the approximate root (x_r2) of the f(x) = 0.35x^4+2x^3 -x^2+0.36x +4, upto 2 iterations us...

A: f(x) = 0.35 x4 + 2x3- x2 + 0.36 x +4 f(-2) = -9.68 &lt; 0 f(0) = 4&gt;0 Hence, a root lies between -...

Q: The exponential growth model of a population in a certain city is A= 20e0.05t where A is the size of...

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost o...

Q: Suppose that A= 2i + j, B= i – 4j + k, and Ĉ =j+k. What is the direction of vector A? A A. 26.6 E of...

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Q: A population of viruses is increasing at a constant relative growth rate in the bloodstream of its h...

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Q: Find the horizontal and vertical asymptotes of the curve. You may want to use a graphing calculator ...

A: Given query is to find horizontal and vertical asymptot for the function.

Q: Use technology to evaluate the given expression. Take 1.5 7.9 1.4 -2.32 5.4 and B = 5.8 0 A = \ 44.4...

A: A=1.4-2.325.444.4012.8AT=1.444.4-2.3205.412.8B=1.57.95.805.46.94.2B=4.2×1.54.2×7.94.2×5.84.2×04.2×5....

Q: a 3+ 1 S (z2 +4 ) dx. Which of the following is equal to the given integral? O not integrable O z + ...

A: Given: ∫ x3+1(x2+4)2 dx To form a partial fraction which is equivalent to the given integral:

Q: Use the second fundamental theorem of calculus along with the chain rule to find d sint dt dx 1 o si...

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Q: 34. Give linearly independent functions that are annihilated by D°(D – 2)(D+3).

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