Q: solve the area bounded by the curve y=4x-x^2 and the lines x=-2 and y=4
A: To find out the area bounded by the curves.
Q: 4. Write a formula for a quadratic with the given features: x-intercepts (-3, 0) and (1, 0), and y i...
A: We need to find quadratic formula.
Q: 1 – 2xy)y' = yly + sinx] ; when x = 0, у %3D 1 + cosx 1+y²
A:
Q: (a) Evaluate sin 2z -dz, 3z -ĝi where C is an anticlockwise unit circle centred at the origin.
A: Follow the procedure given below.
Q: lim n - co i = 1
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Q: Find the parametric equations for the path of a particle that travels three quarters of the way arou...
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Q: If the limit of f(x) is 5 and the limit of g(x) is 2 as x approaches a constant k, what is the limit...
A: If the limit of f(x) is 5 and the limit of g(x) is 2 as x approaches a constant k, what is the limit...
Q: The table below shows some ordered pairs for an exponential function f. x 0 1 2 3 f(x) 51.2 6.4 0.8...
A: see below the answer and explanation
Q: S: sec h udu = tan"(sin h u) + C -1
A: Follow the procedure given below.
Q: arctan dx
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Q: Step 3 We have determined the following. 4x2 - 3x g(x) h(x) = ex %3D %3D = 8x - 3 dx [nc»] • ex xp A...
A:
Q: Evaluate using trigonometric substitution ∫x^2/(16-4x^2)^3/2 dx
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Q: Find the point on the line y = 4x + 3 that is closest to the origin. (х, у) %3D
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Q: Determine the eccentricity & type of conic ;write an equation of the directrix corresponding to the ...
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Q: (3'0)1d メニ THE INDEN i3) FEND EQUATEON
A: Question is solved.
Q: 7. If cos 0= where 0< a< 2, what is csc 0? 2 A) +- C) 4-a a В) + D) +- 4-a 2.
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Q: Consider the series. 00 9n Σ 3/5 n=1 (n2 + 1) 9x Let f(x) = Find f' (x). 3/5 (x² + 1) (Express numbe...
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Q: If an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is ...
A: Given query is to find the the velocity using derivative, and velocity at different time.
Q: Express the vector of the form v=vi+ v2j + v3k. AB if A is point (-9, -2, 1) and B is point (-4, -9,...
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Q: 3. (х+1)dy %3D (2хе* - ху-2у)dx
A: Given : (x+1) dy=(2xe-x-xy-2y)dx
Q: In 2004, an art collector paid $84,275,000 for a particular painting. The same painting sold for $27...
A: let the equation be V(t)=V0ektwhere V0 be the initial painting valuet be the timek be the rateV be ...
Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...
A: The given limit limx→∞4x-34x+54x+1
Q: The area bounded by y = x3 + 2x + 1, x = 1 and x = 3 is to be revolved about the x-axis. Find the vo...
A: Given problem:- The area bounded by y = x3 + 2x + 1, x = 1 and x = 3 is to be revolved about the x-a...
Q: 10. An airplane flying 390 feet per second at an altitude of 5000 feet flew directly over an observe...
A: From Pythagoras theorem for a right angle triangle with base a, height b, hypotenuse c we have, a2+...
Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...
A: To find out the limit.
Q: Let s(t)=4t^3+48t^2+180t be the equation of motion for a particle. Find a function for the velocity....
A: This function is related to motion of partical. Solve in step 2.
Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...
A:
Q: In 2011 a country's federal receipts (money taken in) totaled $2.03 trillion. In 2013, total federal...
A: topic - exponential function
Q: The graph of the derivative f' of a continuous function f is shown below. (Assume f' continues to co...
A: As per Bartley guidelines we are supposed to answer only three subparts of one question. This post ...
Q: substitution to convert the integral to an integral of rational functions. Then use partial fraction...
A:
Q: find the area between the curves 2x^2+4x+y=0 and y=2x
A: Given that: 2x2+4x+y=0 and y=2x
Q: Use the rules of differentiation to find the derivative of the fur f(t) = -2t2 - 4t - 5 f '(t) =
A:
Q: S(7x-2)³ dx = (7x-2)4 + C. 28
A: The given integral, ∫7x-23 dx=7x-2428+C
Q: Evaluate using trigonometric substitution ∫(x+4)/(x^2-9)dx
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Q: A portion of the graph of f', the derivative of the twice differentiable function f, is shown in the...
A: f'(x) = 0 at x = 1 and x = 6 Hence, the graph of f has a horizontal tangent line as f'(1)= f'(6)...
Q: Prove and derive how this hyperbolic function is formulated.
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Q: Cost OF REMOVING Toxic WASTE A city's main well was recently found to be contaminated with trichloro...
A: We have to find C'(80), C' (90), C'(95), and C'(99).
Q: Find the 1.crit numbers, 2.open intervals where the function is increasing and where the function is...
A: We need to find critical point and interval of increase and decrease.
Q: Swond of tnow ite uoy soriit eri bno bemo =) ACTIVITY # 1 Determine if each statement is a prepositi...
A: A preposition is a statement which is either true or false but not both.
Q: Write the following in terms of sine, using the cofunction relationship. cos(5π/9)
A: We have to write in sin form.
Q: Jse the Quotient Rule to find the derivative of the function. cos(t) f(t) (t)
A: We will use the quotient rule of differentiation to find the derivative.
Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the d...
A: We will solve by using alternative form of derivative as shown below
Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...
A:
Q: Consider the following. y 6 y = f{x) 4 2 (a) By reading values from the given graph of f, use five r...
A: Given:-The graph of y=f(x) is Note: The values of f(x) can not be observed accurately at each point...
Q: EXERCISE 2.3.6 Let f(x) = x and g(x) = 11r. Find Dlf(x) +g(x)]. %3D EXERCISE 2.3.7 Find D (x6-7x5 + ...
A: Given that: 6. f(x)=x-4 and g(x)=11x37. Dx(x6-7x5+13)8. f(x)=-9x2 ...
Q: What is the domain and range of the function g(x) shown in the graph below? a. Domain: -9 ≤ x ≤ 11 ...
A: Given query is to find the domain and range of the function.
Q: Evaluate the indefinite integral. cos x tan³ x dx 3
A: ∫cosxtan3xdx=∫1-cos2xsinxcos2xdxLet u=cosx=∫ -1-u2u2du=∫ -1u2+1du=-∫1u2du+∫ 1du=--1u+uSubstitute...
Q: Find the dimensions of a rectangle with area 1,331 m2 whose perimeter is as small as possible. (If b...
A: Area of a rectangle is 1331 m2, whose perimeter is small as possible.
Q: Let g(x) = = X-f(x) S(x) , find g'(1),if f(1) = 4 and f'(1) = 2
A: Given that g(x) = -x-f(x)f(x). We have to find the value of g'(1). Given that f(1) =4 and f'(1) =2. ...
Q: Where is the graph not differentiable? a. x = -2, -1, 0 b. x = 0 c. x = -2, -1, 0, 1 d. x = -2, -1,...
A: Given query is to find where graph is not differentiable.
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- If a function f is an even function, then what type of symmetry does the graph of f have?How do you prove c), i.e. the third bullet point, using lim(x ->a) [ f(x) - f(a) ] / [ x -a ] with the domain (-inf, 1)? Is a = 1?The graph of a function f for which f(2) exists and lim f(x) x-->2 exists, but the two are not equal. Construct an example of this
- The graph of a function f for which neither f(2) nor lim f(x) x-->2 exist. give an example of this statement.Give an example by sketching the graph of a function f that satisfies all the given conditions. lim (x--> -3) f(x)=+oo, lim (x--> -oo) f(x)=-2, f(0) = 0, f is even.Sketch the graph of the function defined piecewise by the formulaf(x) = {0, x ≤ −1 ; √1 − x^2 , −1 < x < 1 , x, x ≥ 1 ) A positive number _ and the limit L of a function f at a are given. Find a number δ such that|f(x) − L| < _ if 0 < |x − a| < δ. limx→3 x^2−9/x−3= 6; ϵ = 0.05
- Draw a simple graph of a function f satisfying the followings: limx→2−f(x)=∞ ; limx→2+f(x)=−∞ limx→−1+f(x)=−4 ; limx→−1−f(x)=3 limx→0+f(x)=−∞ ; limx→0−f(x)=2 limx→6f(x)=0 ; limx→−4f(x)=0 limx→∞f(x)=12 ; limx→−∞f(x)=∞ ( Please do not try to formulate the function, just draw a simple graph which satisfy all above properties. )Sketch the graph of a function g that is continuous on its domain (−5, 5) and where g(0) = 1, g ′(0) = 1, g ′(−2) = 0, lim x→−5+ g(x) = ∞, and lim x→5− g(x) = 3.Suppose that a function ƒ(x) is defined for all x in [-1, 1]. Can anything be said about the existence of lim x approaches 0 ƒ(x)? Give reasons for your answer.