Q: No calculators. Using the Shell method only, find the exact volume created by rotating the region…
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A: tan = y/x tan = y component/x component here y = -2 x = -3
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Q: If 15,18 log (14¹) A = B = = C: = = A log(x) + Blog(y) + Clog(z) then
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Q: t) The volume of the solid obtained by rotating the region enclosed by y = 12x - 4x², y=0 bout the…
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Q: Let [ 13.5 f(x) dx = 8, 45 f (a) f(x) dx = 3 J4.5 9 (b) (5f(x) - 2) dx = J4. f(x) dx = 3, and Enter…
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Q: 2. Find the equation of the line tangent to the circle x² + y² + 6x - 2y - 15 = 0 at the point…
A: Here the given circle is , x2+y2+6x-2y-15=0 We need to find the tangent to this circle at the point…
Q: Find the indefinite integral. x + 7 √x² + 14x5 Step 1 J To find the indefinite integral dx x + 7 x²…
A: Topic = Integration Fill the blanks with du = (2x+14) dx
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Q: 150 Find the consumers' surplus for a product if the demand function is given by D(x) = 3+x Answer…
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Q: 2) Consider the DE: y" + 25y = 0 A) Verify that y = C₁ cos 5x + c₂ sin 5x is a solution of the given…
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Q: Determine whether S is a basis for P3. S= (3-t, t3, 9t2, 8t + t, -1 + 3t) OS is a basis of P3. OS is…
A: Please see the below picture for detailed solution.
Q: Step 3 Rewrite the integration in terms of u and v. 110 Step 4 (cos w)ew dw = (cos w)ew - Again…
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Q: Find a bif a= (4, - 1,5) ar . b = (-3, 8, 5).
A: Here we will find whether given vectors are orthogonal or not,
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Q: Use logarithmic differentiation to find the derivative of the function f(x) = (sin 7x)/x c) Coal is…
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Q: Let f(x) = 8 n=17² Find the intervals of convergence for f. (Enter your answers using interval…
A: According to bartleby guideliness we can answer only the first 3 subpart of the question. Also we…
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Q: 8. Solve the differential equation: d'y 3: dx² -4+y=0 dx
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Q: Consider a linear system (a) (b) 2x + 3z = k²2 - k-6 3x - 2y = k²-9 x + 2y + 6z = 2k - 6 For what…
A: A linear system is said to be homogeneous if all the constant terms are zero.
Q: 3 1. f ³√x² dx
A: Solution : Given that integral is
Q: Given r''(t)=4e2ti-9cos(3t)j+4k, r'(0)=2i+4k, and r(0)=i+j+5k, find the formula for r(t)
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Q: For f(x)= x+1 and g(x)= find X a. (fog)(x); b. the domain of fog a. (fog)(x) = (Simplify your…
A: The given functions fx=xx+1 and gx=11x
Q: Given the ODE (cscy)dx + (cos²x)dy = 0. A one-parameter solution of it is: O cosy + tanx = c siny =…
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Q: 2. 01 S -1-1 (x+y+1)dxdy
A: The Solution is given below
Q: Suppose the speed of a car approaching a stop sign is given by v(t)=(t−13)2, for 0≤t≤13, where t…
A: The given data is: vt=t-132, for 0≤t≤13 (a) Find v'7
Q: Approxima using the (Use symbolic notation and fractions where needed.) approximation based on…
A: Given: x14 at a=16
Q: Q2/ A. Find the following limits. Answer four only. x+3 i. lim x-3x²+4x+3 X+) √2+1! x-1 lim x-1…
A: Since you have posted multipart questions i can do first three subparts as per our company…
Q: III. Use the Laplace transform to solve the initial value problems. (a) y" + 3y + 2y = 0; y(0) = 1,…
A: As per bartleby guidelines we only give first three question answers. Please repost for other…
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Q: lim 0-4 In[(1 + h)² + 1] - ln(2) y
A: To evaluate the given limit .
Q: Find the exact length of the curve. 1.2 y = 1x²-1⁄In(x), 2 4 1 ≤x≤ 8
A: This question can be solved using the concept of length of curve using derivatives.
Q: Solve the following initial value problem. Provide your answer below: f(x) = ƒ"(x) = 36x² + 6x – 10,…
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Q: find f f'' (x) = 2 + cos (x) , f (0) = 7 , f (pi/2) = 2. f (x) =
A: I am attaching image so that you understand each and every step.
Q: Use the difference anti-an to show that the given sequence {a} is strictly increasing or strictly…
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Q: Express the integral in terms of the variable u, but do not evaluate it. So e15x-14 dx; u 15x - 14…
A: ∫01e15x-14dxLet u=15x-14.=∫-141eu115du=115·∫-141eudu=115eu-141=115e-1e14=e15-115e14
Q: B. A rock is vertically thrown upward from the surface of the moon at a velocity of 24 m/sec. 2 The…
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Q: Use the formula for the binomial series: (1 + x) = to obtain the Maclaurin series for 1 (1 + x)5° 1…
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Q: The pH can be calculated using the equation pH = -log(H"), where H" is the hydronium ion…
A: We can find the hydronium ion concentration as below.
Q: Consider the function f(x, y) rectangular region D = | 1,1|×|-1,1]. Which of the following…
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Q: 3 5. S (t + ²1) ²³ dt t
A: To evaluate the integral.
Q: 08 06 04- 02 } } yex dxdy = y=0x=y² 0.2 04 06 08
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Q: Given f(x) = 3x³ +22x² - Part: 0 / 2 Part 1 of 2 -21x-40, answer the following. Factor f(x), given…
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Q: F(t) = 4(t+1)²
A: we have f(t) =4(t+1)2 =4(t2+2t+1)
Q: 2. Find the equation of the line tangent to the circle x + y + 6x - 2y - 15 = 0 at the point (1,-2).
A: x2 + y2 + 6x -2y -15 = 0 given we have to find equation of tangent line to circle for that first…
Q: DA bacteria Culture that exhibts exponential double in size growth in 10 days. ㅋ Find the growth…
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Q: Given the bivariate data: X12356 65431 (a) Draw a scatter diagram for the data A - Xy IN² 4 . . -10…
A: We have to calculate the least squares line.
Q: Consider the region B under the graph of y= * E[5,7], and above the x-axis. 2² +7 x+5 } Estimate the…
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Q: Given f(x) = 3x² Rn = 6, find a formula for Rn on the interval [2, 5]
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Q: find the limit, if it exists. If the limit does not exist, explain why. limx→2 1−|x|^2/1−x^2
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