1. lim (10²-3log x-2(logx)²) X-10

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Q: Answer the question below: Given: Let h(x, y) = In(xy² + 3x). Suppose k = h(x, y), where x = a² + b*...

A: Given K=h(x,y)=ln(xy2+3x)where x=a2+b4 and y=a2b6+3a  

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Q: /1 + dt and g(y) f(x) dx, find If f(x) g"(T/6).

A: We have to find value of g"(π/6)

Q: Je2x sec2(e2x+1)dx ktan (e2x+1) + C, find the exact value of K. If the solution to is equal to A B -...

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Q: Sow) du. #glu)- u+1 Using u-substitution, the integral reduces to a new integral evaluate the new in...

A: Topic:- integration

Q: 2 10 10 dx x5 x5

A: Given, a ∫2x+10x5dx b ∫122x+10x5dx We have to solve for parts (a) and (b).  

Q: Compute P,(f,0)(x) for the following function: f(0) = 42, f"(0) = 23, f) (0) =19, f®)(0) = 17, f("(0...

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Q: 1. J sec x csсх 2. S sin*x dx 3. S e2*(Vx + 1) dx

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Q: 2. Find the equation of the tangent line to the curve at the given point by eliminating the paramete...

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Q: x²+ Consider dx. Using u-substitution and transformation of integrand, then the power formula (x*+ 8...

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Q: Pinocchio’s nose length y (in inches) is dependent on his lie count (s). Geppetto has modeled this ...

A: Given equation, yy=as where, y is Pinocchio’s nose length (in inches) s is his lie count a is a magi...

Q: Question 9 5x2 tan( 3x) dr. ifu=3x*, then the resulting integral is SFlu) du. Find Given: A 18 none ...

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Q: and Vk are convergent series Vk) are convergent series and tl E(uk + vk) = L Uk k=1 k=1 Σ E(ur – « v...

A: In this question we will use basic concepts of algebra i.e summation of infinite terms. Solution of ...

Q: d) If the coefficients are rounded off of - 0.31x + 2.73 find the absolute and relative in y x + 0.3...

A: Find absolute and relative in y

Q: (x + 1)2 and the line (x+1)?, 1, where a is the same constant. 4. Let Si be the area of the region b...

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Q: sin 3x Given: -dx_what is the appropriate formula to find the integral?- cos2(3x) (4-3 sec 3x) A du ...

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Q: Evaluate the integral. x² + x + 1 dx Jo (x + 1) (x + 2)

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Q: d) If the coefficients are rounded off of 0.31x + 2.73 find the absolute and relative in y x + 0,35 ...

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Q: an+1 to determine if the sequence {ne" } is strictly increasing or strictly decreasing. an Use the r...

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Q: Tes n=1

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Q: 5.50% compounded semi-annually.

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Q: The area of the rectangular piece of cardboard shown below is 209 square inches. The cardboard is us...

A: Given problem:- The area of the rectangular piece of cardboard shown below is 209 square inches. The...

Q: cylindrical can is to have volume 1500 cubic centimeters. Determine the radius and the height which ...

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Q: tan (In |4x2|) -dx is b in cos (In |(2x)*|)|+c. The integral of What is b?

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Q: Situation 1: Find the area bounded by the curve x^2 = y + 2 and the line x + y = 0 1. Using Simpson'...

A:   A=∫-21 (-x-x2+2) dxA=[2x-x22-x33]-21 A=2(1+2)-12+2-13-83 A=112 A=5.5 square units

Q: Solve the components of the given equation of conic sections and sketch the graph: a. x2 + 4y2 – 6x ...

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Q: Given: V5x2 - 3 xdx. If we let u= 5x² - 3, which of the following u-substitution formula is applicab...

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Q: Is the series convergent or divergent? Prove in no more than two sentences. +oo 1 n=1

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Q: Find the centroid along the y-axis of the plane area bounded by the equation y^2=4x, x=1 and the x-a...

A: Given curve is y2=4x ,x=1

Q: Consider (x8+ 8x5+ 16x2) ² -dx. Using u-sub

A: Given: - The integral is, ∫x2+1xxx8+8x5+16x22dx To find: - The values of k and n. By using u-substit...

Q: 12x +1 S dx. (2x - 1)2 (3x + 2)2 Evaluate: (2x – 1)3 (3x +2)3 A) + C 3 8 in |(2x- 1)2 (3x+2)2| + C 1...

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Q: Does the following power series converge for all real values of x? (-1)"x" n n=1 It converges for al...

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Q: Calculate F. dS where F = (e" sin y, e" cos y, yz²) S is the surface of the box bounded by the plane...

A: We have to find double integral of F. ds

Q: What are the new limits of integration after applying the substitution u = 5x + z to the integral s ...

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Q: Find the solution of the following Differential Equations 2) (xdy – ydx)/x² = 4) 2.x In(y)dx+ yx'dy ...

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Q: B. Prove that the given equation is a solution to the given DE: 5. x= 2t + C; y = Ct + 3 ; 2(y')2-xy...

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Q: sin(2a)dx + cos (3y)dy 3 0, у(т/2) — п/3 ||

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Q: The sequence

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Q: 1. Let (r + 2)², if I 0. (a) Give the r coordinate(s) of the possible point(s) of discontinuity of ...

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Q: A closed right circular cylindrical tank is to have a capacity of 128??3. Find the dimensions of the...

A: Volume of cylindrical tank is 128π m3.

Q: Given the following power series, find the radius of convergence. HINT: Determine if you want to use...

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Q: Use the formula for the binomial series: (1 + x)" = 1+mx+ + 21 = 1+ £in to obtain the Maclaurin seri...

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Q: Prove that the sum of the first n natural numbers is given by this formula: n(n + 1) 1+2 +3 +. .. +n...

A: As per our guidelines, we are supposed to answer only one question. Kindly repost other questions as...

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: Ratio Test :  Suppose ∑ak be an series and            ρ = limk→∞ ak+1ak , then(i)  If ρ <1 , then...

Q: Do the following: (a) Construct the table of values; (b) graph the function; and (c) find the indica...

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: Solve the following Sturm-Liouville problem by finding the positive eigenvalues and its correspondin...

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Q: Is the series convergent or divergent? Explain in minimum of two sentences. +00 n2 – 1 n2 +1 Un n=1 ...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 7 (1 -7)° (...

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Q: Solu) du. rg(u) = Using u-substitution, the integral u+1 reduces to a new integral , evaluate the ne...

A: Explanation of the answer is as follows