Q: A cylindrical tube expands as its radius r and height h increase at the rate of 2 in/min and 4…
A: Basic product rule of differentiation is used.
Q: -2 S² g(x) dx -6 if g(x) is an even function.
A: We need to evaluate integral.
Q: of x³ (4+x²)² dx ; Use rationalizing substitution
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Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of: 1 (1) limx-o[: 1-cos x 2 sin²x (2)…
A: We have to find the limit using L Hospital rule.
Q: 3. (x³+xy²-y)dx + (y³+x²y+x)dy =0
A: We need to find the solution for (x3+xy2-y)dx+(y3+x2y+x)dy=0
Q: Q3 :(A): By using "L' Hopital rules"; Find the limits of : 1 (1) lim,-ol1-cos x sin2x (2) lim,…
A: 3)1) limx-0[1/(1-cosx) -2/sin2x ] 2) limx-0(tan-1x-x) /x3 Repost the next question.
Q: B. Solve one of the following inequalities. Write your answer as an interval or union of intervals.…
A: Please see the answer below.
Q: Q2: Solve the following integrals: (3) √ √dx dx (4) fxe* dx
A: The objective of the question is evaluate the indefinite integrals.
Q: 9. (x²-x+y) dx - x dy = 0 10. (2y² + 2y + 4x²) dx + (2xy + x) dy = 0
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Q: If A, B, and C are 3×3 matrices; and det(A) = 5, det(B) = −2, and det(C) = 3 then compute: det…
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Q: Use polar coordinates to find the limit. [Hint: Let x = r cos(8) and y = r sin(8), and note that (x,…
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Q: Determine where the vector function r(t) = i + (14t) j is continuous. Use symbolic notation and…
A: Please see the below picture for detailed solution.
Q: Q4: Answer two only: 2 1 -1 (A): I A=2 -2 Find AB and AC : - 1²/2 3 11 -2 -2 and 2 -- }
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Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the…
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Q: For the vectors u = (6, 3, 4√5) and v= (3, 0, 5√5), evaluate the following expressions. a. 3u + 2v…
A: See this solution in below
Q: g(x) dx = (Simplify your answer.) 7 4g(x)dx= 2 (Simplify your answer.) 7 [g(x)-f(x)]dx = (Simplify…
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Q: Determine the intervals on which f'(x) is positive and negative, assuming that given figure is the…
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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x 2…
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Q: f(a+h)-f(a) h a. Use the definition mtan = lim h→0 b. Determine an equation of the tangent line at…
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Q: Exercise (b) the centroid of the region bounded by the graphs of the equations Step 1 The region is…
A: Please see the answer below.
Q: C): Solve the following equations:- (1) sin 2x + 2 sin² = 1 (2) sech x - 4 tanh x = 1
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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: Evaluate the function at the given values of the independent variables. Simplify the results. f(x,…
A: Topic = Functions
Q: The line graph shows the average number of awakenings during the night for men and women of…
A: To find the difference between the average of awakening during the night.
Q: Q1: Answer two only (A): Solve the following linear equations by Cramer's rule: x+y+2z=1 2x-y-z=0 x…
A:
Q: Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die…
A: The objective is to solve the above question.
Q: (B): Find the tangent equation to the curve y = sin² x at point x =
A: I have stated the used formulas in the solution.
Q: 10.¹ (3x² - y²) dx + (xy − x³y¯¹) dy = 0 2 du
A:
Q: 04: Answer two only: (A): IF A-2 10 1-2 -1 Find AB and AC. 3 and C-0
A: Given :A=420210-2-11B=2312-2-2-121C=31-3026-121
Q: 3. Find the Laplace transformation of the function: f(t) = cos (2wt) cos (3wt). Hint: write cos(20t)…
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Q: Use the comparison theorem to compare Enter your answer using either ≤ or >. F = = [₁* (√x + I + 2)…
A: We will use comparison theorem to compare the given two Integrals.
Q: Sketch the function. 4 k(x) = -x² +6x²-8 Part 1 of 4
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Q: [3 37 tan5 x sec4 xdx Х
A: Given:
Q: 7. 0 , e5) a dx
A: Please see the below picture for detailed solution.
Q: 2 The function f(x) ==, x0, is one-to-one. X Find an equation for f(x), the inverse function. ...…
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Q: (B): Find the tangent equation to the curve y = sin² x at point x F.
A: We can find the tangent equation at the given point as below.
Q: (B): Find the tangent equation to the curve y = sin² x at point x = = 33.
A: The curve y=sin2x at point x=π3
Q: 11, 0-20² 2. 3. चं 5. T S cos 2x dx sin(²³) cos²(:-) / dx 2x-1 4x dx dx 6. 7. 8. S [² (x² + 0²³) dx…
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Q: Q5: Find dy dx (1) In(x - y) = xy + y³; for the following functions: (2) y = tan³√/cot(7x);
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Q: You go to the doctor and he gives you 15 milligrams of radioactive dye. After 16 minutes, 5…
A: I am attaching image so that you understand each and every step.
Q: dw (C): If w = tan x and x = 4t³ +t; Find dt
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Q: Q3/ Solve the following Second order differential equations. 2- d²y dx² +3+ 2y = e-x + e-2x -
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Q: 6 ∞ 9 cos (7) x² dx I
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Q: (a) Find S 1+ (x + 2)² dx and 1+ (x + 2)² dx.
A: Concept: Integration: The summing of Discrete Data is indicated by Integration. To determine the…
Q: The marginal cost for printing a paperback book at a small publishing company is c(p) = $0.012 per…
A: Given data÷ Marginal cost cp=$0.012 per page Where p=number of pages
Q: Find the Taylor or McLaurin series for the following functions f(x) = ln(1+x), a = 0
A: According to the question we need to find out the McLaurin series.
Q: Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. b…
A: We need to solve for the remaining angles and sides of the triangle.
Q: 12. (2xy³ + 1) dx + (3x²y²-y¹) dy = 0
A:
Q: Find the Taylor or McLaurin series for the following functions X f(x) = 1 + x², a=0
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Q: Q2: Solve the following f (1) 7x² +14+15 (x²+3)(x+7) dx :
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
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