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Q: dx 4. d) Integrate (a2 + 9)3/2

A: Please refer the attached image for complete solution. THANK YOU.

Q: Jerome will be buying a used car for $11,000 in 2 years. How much money should he ask his parents fo...

A: Explained below 

Q: Does a(n)= n^2sin(3/n^2) converge?  If so, to where

A: The given question can be solved as shown in step2.

Q: 7VJ – 4 r64 dy 3. Evaluate

A: ∫1647y-4y3dy=∫1647yy3-4y3 dy                              =∫1647y12y13-4y13 dy                      ...

Q: Express the limit as a definite integral on the given interval. lim n → ∞  n   3xi* + (xi*)2 Δx, [...

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Q: 10. Given f 3D (x'y. уг3, -2:3x), find а) сurl F b) div F

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Q: Use differentiatial to estimate the value of 124 square root power of 3 . Answer in 3 decimal place

A: Given : 3√124

Q: If f(x) = ax3 + bx2, determine a and b so that the graph of f will have a point of inflection at (1,...

A: Given f(x) = ax3 + bx2

Q: 00 n (b) 5 – 2 37 n=3

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Q: Suppose that a particle moves along a straight line with velocity v(t) = 7 – 4t, where 0 <t < 1.5 (i...

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Q: The traffic flow rate past a certain point on a highway is q(t) = 1300 + 2300t – 270r where t is in ...

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Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to ...

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Q: B a A b Note: Triangle may not be drawn to scale. Suppose a = 7 and A = 10 degrees. Round answers to...

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Q: Solve the problem. Suppose that fand g are continuous and that s ) dx = s and S g) dx = 10. Find S E...

A: Given that f and g are continuous functions and∫37fxdx=-5 and ∫37gxdx=10.We need to find ∫73gx-fxdx

Q: 6. Let y'(t) = sint+ cos 2t, y(0) = 4 the tofowg s) Solve the given initial value problem. Verify th...

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Q: Find polar equation for the Cartesian equation 20y = 8x. o a.r = 0.38 o b.r = 1.19 O c. theta = 1.19...

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Q: Suppose that the number of bacteria in a certain population increases according to a continuous expo...

A: Answer:  The hourly growth rate parameter of bacteria as shown below : 

Q: if x 2 7- a? if æ < -1° – x2 If f (x) x→-1- |

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Q: if x 2 7 x2 - If f (x) I→2 exists. Enter DNE if the limit does not exist.

A: limx→a f(x) exists if and only if limx→a+ f(x) = limx→a- f(x) exists and same.

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is model...

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Q: Suppose u (3, 2, – 4) and ī = (-5, –4, –4). Then: | u + v=| v= u= 7u= 2u 3v=

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Q: Let C be the curve parameterized by r(t) = (x(t), y(t)), for a <t < b, with starting point P and end...

A: GIVEN: r(t) = {x(t), y(t) }

Q: Solve the right triangle using the information given. Round answers to two decimal places, if necess...

A: Solve the triangle

Q: Find the area of the region enclosed by the given curves. y= arctanx, x-axis, x=1

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Q: An open box is to be made from a square piece of material, 12 inches by 12 inches, by cutting equal ...

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Q: Resolve the following vectors into components: (a) The vector v in 2-space of length 7 pointing up a...

A: Topic:- vector representation

Q: Evaluate: lim cot 0 a) 0 b) +o0 O c) 1 O d) -00

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Q: Find all distinct (real or complex) eigenvalues of A. Then find the basic eigenvectors of A correspo...

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Q: Solve the equation below; a) 5/[s(s+0.5)] b)5/[s²(s+0.5)] By partial fractions

A: (a) The function is  5s(s+0.5)

Q: 4 VectorProduct 10.4: Problem 9 Use the geometric definition of the cross product and the properties...

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Q: Find the 58th term of the arithmetic sequence with a = - 7 and d= 4. 179 235 221 192

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Q: Find polar equation for the Cartesian equation 15y = 4x. %3D o a.r = 1.31 o b. theta = 1.31 O c.r = ...

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Q: Calculate v 9 – 7i. Give your answer in a + bi form. Give the solution with smallest positive angle....

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Q: Find an equation of the ellipse having a major axis of length 12 and foci at (0, 4) and (-4, 4). 몸 O...

A: See the details solution in below

Q: Write the system of linear equations represented by the augmented matrix. (Use variables x, y, z, an...

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Q: Given ğ = – 9ỉ – 4j and 7 = 31 – 73, find ğ + q. %3D %3D - g+q =

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Q: find an equation of the tangent line f(x)=x+(6/x)    points (x,y)= (-6,-7)

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Q: Find the volume of the parallelopiped with adjacent edges PQ, PR, PS where P(-2, -1, -3), Q(0, 2, 0)...

A: The given points P-2,-1,-3, Q0,2,0, R-3,-2,-4, S4,-3,-1

Q: (a) Find an approximation to the integral 2 (x2 − 11x) dx   0 using a Riemann sum with right endpoi...

A: By using the general formula of Reimann sum calculation for integration. We will use all the points ...

Q: v = -10i + 4k w = 7i – 5j – 4k Compute the dot product v. w.

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Q: The figure shows a rectangular box in three- dimensional space that contains several vectors. (The v...

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Q: The acceleration of an object (in m/s?) is given by the function a(t) = 5 sin(t). The initial veloci...

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Q: The traffic flow rate (cars per hour) across an intersection is r(t) = 400 + 600t – 270t2, where t i...

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Q: Find the general solution of (1 + x?)y' + xy = x-1(1 +x²)-/½

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Q: | 9V In(x) dx, n = 6 (a) the trapezoidal rule (b) the midpoint rule (c) Simpson's rule

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Q: Consider the following region R and the vector field F. a. Compute the two-dimensional divergence of...

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Q: Rewrite the polar equation r = 6 cos(0) as a Cartesian equation.

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Q: Find the volume of the solid generated by revolving the shaded region about the given axis. About th...

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Q: Given the planes  π1 : x − 2y + 3z + 1 = 0 and π2 : 2x + y + z + 2 = 0. Let L be the line of interse...

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Q: Find the area under the curve for the parametric function defined by the equations x(t) = t³ +t + 1,...

A: Given parametric function is  x(t)=t3+t+1 and y(t)=t2-t  where t€[1,2]