Q: Solve. |x-8=24 Select the correct choice below and, if necessary, fill in the answer box to complete…
A: option (A) is correct. see below the calculation
Q: ..suspended a mass of 10 kg from a ceiling by two cords that make angles of 30° and 45° to the…
A: This question can be solved using the concept of component form of vectors.
Q: Use algebra to evaluate the following limits. 3x4 - 5x² x² 2x² - 2x-12 a) lim x-0 b) lim x+3 x²-9
A: Here we will use basic limit laws and algebra to find the limits.
Q: Question 7 Find the partial derivative of z with respect to x 8: da = -2x (3x²+1) sin(x²) + 6xcos…
A:
Q: If f is the function given by ƒ(x) = √²* √t² — t dt, then ƒ' (2) = 7 a. 2√12 b. √2 c. √12 d. 2√12 B…
A:
Q: dz - 6² 7 4 16 + Consider the integral 7² +16 du ONI - S = (2-16) a) I= /0 du O b) I 117 So u (u -…
A: Given :I=∫01dz7z+16
Q: Cos y dy 1-siny
A: The given integral is: I=∫cos2y1-sinydy As we know that; The trigonometric identity: sin2x+cos2x=1…
Q: 1. The radioactive isotope hydrogen-3 has a half-life of 12.3 years. a. If a sample of 80 mg of…
A:
Q: 1 f(x) = X g(x) = Inx A) In[f(x) + c C) Inf'(x) + c 1 1+2e-x A) In|1+2e C) Inje*+1| + c 5. f(x) g(x)…
A: We can answer both the question as below.
Q: Evaluate the limit given below. lim 9ti+ 1²-16 1²-4t j+ k 2 (→ 4
A:
Q: If 5 5 f(x) dx = 4 and 2 Š² f(x) dx + O -2 O 10 O 2 0 0 4 g(x)dx? g(x)dx = 6, what is
A: Given
Q: B)Solve the differential equation da x+4y
A:
Q: Evaluate f(2x² + 3x + 1)5 (8x + 6) dx
A:
Q: dx 5 - 2x Evaluate: S O2 ln |5-2x + C -2 + C 5-2x O -1 2(5-2x) + C On 15 - 2x + C
A:
Q: Fill in the blanks: Use integration to find the volume of the solid obtained by revolving the region…
A:
Q: Find the area of the region enclosed by the graphs of the polar curves given by 8/4, 0 = 0 and r cos…
A:
Q: Q6A)If y=sin-¹ find Zxy.
A: partial derivative
Q: Find the first derivative of e O - (3x+2)e-³r x3 O (3x+2)e-31 x4 O(x-2)e-³x x3 O- - (3x²+2)e-3x x3…
A: To find the derivative of the given function.
Q: Given f(x) = -7x - 2, find f' (5) using the definition of a derivative. Provide your answer below:…
A:
Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x³ - 18x²…
A:
Q: Find area bounded by y=0,y=√x-x² using double integration.
A: To find the area of the given region.
Q: 5. Find the general solution of the differential equation using GeoGebra (D² +9)y=2 sina
A: General equation of differential equation.
Q: Q1/ Determine the interval of convergence and the radius for the following power series (x - 2)" Σ…
A:
Q: (b) Use L'Hopital's Rule to find the following limits: e-1 x (i) limx→0 (ii). lim-0 x-y fl (x > 0, y…
A:
Q: Find the area enclosed by the curves f(x) = 33 - x² and g(x)=x². The area (rounded to two decimal…
A: The region bounded by the curves fx=33-x2 and gx=x2
Q: Find the coordinates of a point on the parabola y=−x² where the slope of the tangent is 5. x+3x+4
A: The given parabola is y=-x2+3x+4 We need to find the coordinates of the point on this parabola where…
Q: Find the derivative: g(x) = 6x² e- X O g'(x) = 6xe (2-x) Og'(x) = -12xe** O g'(x) = 6xe (2-x) O…
A: We have to find derivative of given function.
Q: x - ln x + 1| + C
A:
Q: Classroom activity 9.1 the monthly income earned by each of the following workers paid by the hour…
A: We have to determine the monthly income.
Q: 13. Integral √x dx
A: Here we have to find the integral.
Q: 10. Find r(t) if = (4t3+ 4t)i + 6tj + 3t²k, r(0) =i+j.
A: We have to find out r
Q: Find the unit tangent vector T(7) for the line tangent to the space curve r(t) = (12 cost, 12 sint,…
A:
Q: 1fd³y ydx 'y da (21)
A:
Q: Suppose that Mark is flying a kite with the string tied to his glasses (so that it’s easy to measure…
A: To find how far above the ground the kite is flying.
Q: Prove the limit below exists, by using the Binomial Theorem and the Monotone converge ONLY. Do not…
A: Prove the limit below exists, by using the Binomial Theorem and the Monotone converge ONLY. Do not…
Q: Solve for m ffm m(8xy + x?)dxdy =3, 0<y<x<1
A: we can solve as follows
Q: B)Prove (cose + i sine)" = cosn0+ i sin no
A: See the details solution in below
Q: Q5A) Find volume of body from above Z = √√4-x² - y2 and below Z = Triple integration. 1 using
A: Given
Q: Sketch the graph of f and use your sketch to find the absolute and lo f(x) = sin(x), 2 absolute…
A:
Q: (a) Assume that f(x, y, z) and F(x, y, z) are arbitrary differentiable functions such that f(x, y,…
A: Given
Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…
A:
Q: 14. Integral 2 dt 31-4
A: Given, ∫23t-4dt
Q: Find the general solution of the differential equation y" — 4y' + 104y = 0. NOTE: Use c₁ and ce as…
A:
Q: Graph the linear inequality. 4x-y < 4 CIB Use the graphing tool on the right to graph the…
A: Here we will draw inequality,
Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.
A: We need to find area.
Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…
A:
Q: T The position vector r(t) = 4ti + 2tj+ t´k describes the path of an object moving in space. Find…
A:
Q: ƒ(s) = 4s - 18 9-s² What function f(t) has Laplace transform: 5s (s - 2)² +
A:
Q: Draw a graph to match the description given. f(x) has a positive derivative over (-∞, -1) and…
A: Here, given that the function f(x) has a positive derivative over -∞,-1 & (-1,7) and a negative…
Q: e” was very happy as he was going to six flags. He pictured the perfect roller coaster and wondered…
A: Solution is here
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