Differentiate the fol y = (sin x)(lnx) a)

Q: Find the distance from the point A to the line through points B and C. Then show that the triangle…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 8 y = 2√x + 4 dx *- (√x +++1)x dy…

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Q: y 3 2 1 -1 -2 -3 -4 1 2 3 4 5 6 X

A: We can find the Domain and Range of the function.

Q: d the equation of the tangent line to the curve y = 5x cos x at the point (7, e equation of this…

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Q: Find the area under the curve y=sin2xcosx for the given limits; sketch the area. Hint: integral in a…

A: Topic:- application of integration

Q: 12. Given the vector equation [x, y]= [3,1]+[3,-5] find a) the parametric equations b) the symmetric…

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Q: Please correct me if i'm wrong. The points where f(x) appears to concave downward appears to be…

A: Given , the point where f(x) appears to be concave downward appears to be (-2 , 2.9 )

Q: Question 5 (i) Use the diagram below to find sin(0), cos(0) and tan(0). (ii) If sin (500) -1…

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Q: A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: 3 If ƒ (x) = 2 + x, evaluate Σƒ (k+1). k=1

A: We can answer the question as below.

Q: You have an investment of $22,400.00 that you want to double in 11 years. If interest is compounded…

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Q: f(x) = -2x² + 7 7x 10 - if x ≤ −1 if x > -1

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Q: 7 Find the area under the curve y = x over the interval [1, 5]

A: Please refer to the image below

Q: Evaluate the indefinite integral sin² t cos³ tdt = + C

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Q: dy 18. x dx (1 + x)y = xy²

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Q: -10-8 6 4 2 2 4 6 8 10 2 4 6 8 10 X

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Q: A. x(1 + y²) ź dx = y(1 + x²) z dy dy B. = x + y dx C. dx E. F. Which of the following are separable…

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Q: 2.4 Write functions of the following graphs. 2.4.1 2.4.2 + -3 -2 -3 N 0 -1+ 34 2+ 0 - 2

A: Above question is solved

Q: Obtain the General Solution of the following differential equations. 1. x²y y' = ey 2. (xy + x)dx =…

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Q: Consider the function f(x) = 6x¹0+ 3x5 - 2x³ - 3. An antiderivative of f(x) is F(x) A is and n is…

A: The given function fx=6x10+3x5-2x3-3 use the integration formulas, ∫xndx=xn+1n+1+C∫dx=x+C

Q: egrate the following by hand, shc 9 (a) 3 3 √x³ - 24+8) dx

A: We can solve this as follows:

Q: On the line y = 2x + 1, what value of Δy corresponds to Δx = 3? Δy =

A: y=2x+1 We have to find ∆y corresponding to ∆x=3.

Q: Consider the function f(x) = r? – 5 +4 x + 1 a. Find the first derivative. f'(x) = b. List any…

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Q: The derivative of f(x)=sec x is Select one: a. sin x COS X O b. C. O d. sin ² x 2 COS .X sin x cos²x…

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Q: y(x tan x + In y) dx + tan x dy = 0.

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Q: Find the limit, if it exists. lim X-- 12-1 xº-1

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Q: Which of the following is a possible equation for the following trigonometric function?

A: To find which of the given equation is possible equation for the trigonometric function.

Q: The sequence {(1 + 1)^² +1} 2n O O converges to e² is divergent ez converges to e 2 O converges to e

A: Sequence

Q: 4) Differentiate each of the following: a) y = - cos²x c) f(0) = sin(20 — π) b) y = sin(20) - 2…

A: Differentiate the following  a) y=-cos2x b) y=sin2θ-2cos2θ c) fθ=-π2sin2θ-π

Q: ve passes through the point (0, 9) and has the property that the slope of the curve at every point P…

A: Topic:- application of integration

Q: The graph below is the function f(x) Find lim Find lim I→-1- Find lim 4 3 I→-1+ in 2 01 I-1 es 1 2…

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Q: c) lim f(x), limf(x) y limf(x). -3 -2 -1 4 3 2 0 y = f(x) 2. 3

A: Check for the corresponding values where the graph is continuous and check for both sided graph…

Q: 1. The graph of y = f(x) is given below. -4 2 2 a) Find lim f(x) or state why it does not exist. 7+1…

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Q: The derivative of f(x)=- Select one: O a. O b. O C. O d. cos x-sin x x² x cos x -sin x X x cos x +…

A: The objective of the question is determine the derivative of the given function and choose the…

Q: 5-4-3 2-1 10 9 8 7 6 5 1 y 4 32 3+ 2+ 1 2 234 3 4 5 -6 1 2 3 4 5 X

A: Please see the below picture for detailed solution.

Q: Given that answer= 5 f(x) dx = 3' what is 11 f(w)dw?

A: Property of Integral : 1.∫abf(x)dx=I ⇒ ∫abf(w)dw=I   2.∫abf(x)dx=I ⇒ ∫baf(x)dx=-I

Q: A manufacturer can produce 2700 cell phones when a dollars is spent on labor and y dollars is spent…

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Q: 04115

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Q: If what does the following integral equal? 4 1₂ 3 h(v)dv= 9 [h(v)dv = 15 - 3 and 9 Ione h(v)dv= = =…

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Q: 1 1 X

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Q: EQUATIONS 5y" - (y) = y³ sin æ 4 x yy" + 2x = tan x ºr + (5) - w = 4et St2 88 SM - (SM) dy³ xt' +…

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Q: Find the length of one turn of the helix given by r(t) == cos(t)i + sin(t)j + 1 1 99 25 -tk.

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Q: 6) Evaluate dx (x+1)(x² + 4)

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Q: Find the length of the Arc length= curve r(t) = (71, 5, √¹4²) for -4 ≤ t ≤ 4. 2

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Q: Solve x (az + √2) dx y (az + √2) sin (ay²) dy + (az − √2) dz = 0 4√/2ln |az + √2 = C 4√/2ln|az +…

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Q: 1. Evaluate. a) lim x--2 ³-2x² +12 x² +1 x² -8x+7 b) lim x-7 2. What is the average rate of change…

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Q: Solve the differential equation dy da - y²+7xy+16x² x² a. x + y = O b. x Y = ; when x = 1, y = 1 5…

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Q: Please show me how to find the x value.

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Q: 19. 2x³y = y(y² + 3x²).

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Q: 1. (x³ + xy²)y' = y³ Ssangen job10 2. (2x + y)dx= xdy 3. x³y' + x²y-y²= 2x4

A: Topic:- differential equation     Definition:- The order of a differential equation is defined to be…