tody + y² = 0 dt

Q: Q.3) 3+4x+20 dx = a) Q.4) f sin5x sin4x dx = tan-(+) 4 a) = (cosx - cos9x 9 cos9x c) (cosx +°%$*) +…

A: ∫1x2+4x+20dx∫sin5xsin4xdx

Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does…

A:

Q: Find the values of xER for which the function given below is both defined and continuous. f(x)= In…

A: We need to find interval where function is defined and continuous.

Q: Suppose that x² + y² = 82. dy (1) Use the method of implicit differentiation to find dx dy dx (2)…

A:

Q: (c) f cos³ 4tdt

A:

Q: 28 Suppose cos(x) = and csc(x) < 0. Give all answers as exact values (no decimals 35 a. The terminal…

A: Use Trigonometric identities

Q: Name: OPEN ENDED QUESTIONS: Prove each Identity: 15 A. Seco Sine Tane + Cote Sin²0 15 B. Csc²0…

A: A detailed solution is given below.

Q: б бу-гу2 -14-292 y dx dy

A:

Q: Find the regions where sinx sx.1

A: Topic:- trigonometry

Q: 1. 2y" — 7y" + 12y' + 8y = 0

A: Note:- As per your request i am solving here question no. 1

Q: 2. Evaluate the double integrals by iteration. whre B is the region 0≤x≤ 1, ² ≤ y ≤I JA dA

A:

Q: Given the function f(x) = 4x + 3 Find the difference quotient Find f'(x) by determining lim h→0 Find…

A:

Q: (x² - 2x + 3)dx

A: Given ∫01(x2-2x+3)dxTo evaluate the integral:

Q: Q.14) A sequence {()L a) converge to 3 b) diverge lecreasing

A: According to the guidelines, we are answering first question. Please repost the remaining.…

Q: A box, with a square base is to have a volume of V = 360 cubic inches. The cost for the materials of…

A:

Q: S xdx 2 -7-8x-x²

A:

Q: H.W: Find the center of mass of a solid of constant density & bounded below by the disk R: x² + y²…

A: We need o find center of mass.

Q: 20 Let f(x)= . Using the definition of derivative at a point, f'(9) = x the expression needed to…

A: Given :f(x)=20xf'9=limx→9f(x)-f(9)x-9

Q: əz дz Find and ax if z is defined implicitly as a function of x and y by the equation ay + +z6+…

A:

Q: You've been asked to calculate the mass of a conical pile of sawdust measuring 7 meters high with a…

A:

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². If we revolve R about the line y =…

A:

Q: 13. dx √ex-1

A: Given: I=∫dxex-1   ...1   As we know that; The Chain Rule: fgx'=f'gx·g'x And ∫1x2+1dx=tan-1x+C

Q: Vertex: Axis of symmetry: X f(x) = −(x + 1)² + 2 -10 -8 -6 -4 -2 10- 8- 6- 4 2- -2- -4- -6 -8- F~ 2…

A: Concept: Vertex: on the parabola, the greatest and lowest pointsAxis of symmetry: It's the straight…

Q: S₁x² Sö 2 (a²-x²) ² dx

A:

Q: expr lim x→-8 -2x² - 20x - 32 x + 8 - 32)

A: Given problem:-

Q: 3a A particle has velocity of t² v = (-15t-3)m/s 4 Find the acceleration a, after t seconds…

A:

Q: State whether the following series is Convergent or Divergent. n! n=1 Convergent O Divergent

A:

Q: 5. fe²x sin x dx

A:

Q: (3²+ 3a)dA, where D is the region in the 3rd quadrant between the circles 2² + y² = 1 and x² + y² =…

A:

Q: tersection point A rectangle is to be inscribed in an isosceles right triangle in such a way that…

A: A rectangle is to be inscribed in an isosceles right triangle in such a way that  one vertex of the…

Q: Find the center of mass of a lamina as pictured below, with inner radius 3 and outer radius 5, with…

A: Given problem:-

Q: Write the equation to represent the distance of the rider from the vertical axis after t seconds?

A:

Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x): |x-1| In its domain. a.…

A:

Q: The marginal cost function for a commodity is given by C'(x) = x² + 2x + 1 where is the number of…

A:

Q: Find the equation of the tangent line to the curve y=5√x at the point (4, 10). The equation of the…

A:

Q: = Find the equation of the tangent line to the curve (a lemniscate) 2(x² + y²)² = 25 (x² - y²) at…

A:

Q: Question 4 (a) An object is moving with position vector r(t) = cos(ot)i+sin(at)j + at³k. (i)…

A:

Q: 3) The correct solution of the center of mass bounded by x=y² and x= 2y = y² if the density is 6 = y…

A:

Q: 8. If the slope of the line (k + 1)x + ky − 3 = 0 is -2, find k.

A:

Q: Use the graph of g to find the value of each expression. (If an answer does not exist, enter DNE.) y…

A: Given, Graph of g(x)

Q: 2 Find the equation of the tangent line to the graph of f(x) = - at X The equation of the tangent…

A:

Q: Certain pieces of antique furniture increased very rapidly in price in the 1970s and 1980s. For…

A: Find the rate, in dollars per year, at which the price is increasing.

Q: Let f(x) √5 + 2. Using the definition of derivative at a point, a. enter the expression needed to…

A: f'(x) = limh→0f(x+h)-f(x)h ( first principle derivative)f(x) = 5x+2Apply first principle derivative…

Q: 7) The solution of 5-2x = 3, is: a) In b)logs (3) d) logs (3)

A: As you mentioned question no 7 solved

Q: 9. If the slope of the line determined by the points (x,5) and (1,8) is -3, find x.

A: Given that the slope of the line determined by the points (×,5) and (1,8) is -3. We have to find the…

Q: Q.18) A series (-1)4+1 2k+1 , is: a) diverge by alternating series test c) converge by comparison…

A: I have appended the formula used in the solution part of the question

Q: xe dx 2 (1+x) ²

A:

Q: Đi bỏ xes xdx = dx 2) √ √9+4x² = a) 6e5-1 25 ¹ (²3) + a) cosh-1 c b) 1+4e5 25 b) (4e5-1) 25 c). sinh…

A: Using following formulas

Q: 19 18. sin x cos x dx 1-3cos 2x dt 1+ e-t

A: The given integrals are;  19) sinxcosx/(1-3cos2x)  18)1/(1+e-t).

Q: Given that lim_ f(x) = 1 lim_g(x) = -2 lim_h(x) = 0, X→2 x → 2 X→2 find each limit, if it exists.…

A: