Evaluate using substitution techniques

Q: How much work is done lifting a 10 pound object from the ground to the top of a 30 foot building if ...

A: Given :   Cable weight used 2.5 pounds per foot

Q: Katalin rides her bike through a tunnel shaped like the top half of an ellipse. The tunnel is 11 met...

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Q: 2. Letgx-15x+2,-2,x+2, x0. Does the limx - Og(x) exist? If yes, give its value. If not, why?

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Q: Find a unit vector u in the direction opposite of (-8,-4, -9). u =

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Q: Find the intervals in which f (x) = 2x3 + x2 - 20 x is increasing or decreasing.

A: Follow the procedure given below. 

Q: O Find the linearization Lcx) for fex) 3x -8x+7 when a=

A: We will find the linearization L(x) for the given f(x)=3x2-8x+7 when a=-2 in the following step.

Q: 14)A5ft tall a street light that is 2oft öábove the ground. what is the rate of change of the length...

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Q: Refer to the figure and find the volume V generated by rotating the given region about the specified...

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Q: Use cylindrical shells to find the volume V of the solid. A sphere of radius r V = %3D

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Q: b.2 cos2 3x + sin3x = 1 %3D

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Q: [3 – x2, – 1< x < 2 20. If f(x) discuss its continuity and differentiability. %3D 2x – 4, 2 <x< 4

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Q: Vrite a chain rule formula for the following derivative. for z = f(r, s); r = g(t), s = h(t) O dz dr...

A: We have to find out derivative

Q: Acceleration of a Car The distance s (in feet) covered by a car t seconds after starting is given by...

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Q: 16 Evaluate the integral: x² /x² + 49 (A) Which trig substitution is correct for this integral? Ox =...

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Q: Find the gradient vector of f(x, y) = e®"y at the point (1, In(2)). 6 In(2)i+ 2j O 2i +j 2i + 2j 3 I...

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Q: DIFFERENTIAL EQUATION Find the differential Equation of the family of the curves described. Draw at ...

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Q: Refer to the figure and find the volume generated by rotating the given region about the specified l...

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Q: 4. Evaluatelimx-1x-1x-1. Show your complete solution.

A: Here we can apply L'Hopital for 0/0 form. 

Q: Determine the maximum and minimum points of the given functions below. f(x) = 3x4 – 16x3 + 24x2

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Q: dz Use the Chain Rule to find dt for z = x2 + y2 + xy,x = sin t , y = e'.

A: z=x2+y2+xy ; x=sint , y=et

Q: sec°(x) -dx V cot(x) со X

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Q: 25. Evaluate the following definite integrals. e) L, 3wv4 – w2 dw

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Q: The population of a city is 140,000. The city declines continuously by 4% per year. If this trend co...

A: Given that the population of a city is 140,000. The city declines 

Q: Find the length of the curve x = (y − 5)3/2 from y = 5 to y = 6.

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Q: For f(x, y) = 2x3 + x²y? – 5ya + 10, Find fgi Find fax: Find fxy

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer ...

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Q: x+2x dx r2+1 -2.

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Q: The following bar graph shows U.S. math SAT scores as a function of household income.† A bar graph ...

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Q: The integral represents the volume of a solid. Describe the solid. sin(x) dx O The integral describe...

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Q: 19. Differentiate the following functions. a) y = (3t2 + 2)(3t² – 2t + 1) 12-4t+4 t2-5t+6 b) s=

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Q: 14. Evaluate the following limits. (3-x+x2, 5x+1Y e) lim 2x y-0+ 5x-7 lim 2 f) X0o ( 3x2 x sin x lim...

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Q: Write a chain rule formula for the following derivative. for w = f(p, q, r); p = g(t), q = h(t), r =...

A: Here, w=f(p,q,r), p=g(t), q=h(t) &amp; r=k(t) So, 

Q: A man that is 6 feet tall walks towards a light that is 20 feet above the ground at a rate of 5 feet...

A: Given:      Height of man =6 feet     Height of light =20 feet     Rate of walk by man dxdt=5 ft/sec...

Q: Using the following equation, find the center, vertices (and its axis), foci, and asymptotes. (Note:...

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Q: S Vx + 3(x + 1)dx

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Q: The graph of the function f is shown on the graph below. On the axes beneath, sketch a possible grap...

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Q: Find the limit of the function along the x-axis xy lim (x.y)-(0,0) x2 + y?

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Q: Question 15 15. The first derivative of the logarithmic function f(x)= In (e +3) is 1 A e +3 B e +3 ...

A: Topic:- application of derivatives

Q: The integral -8 sin(x) cos(x) dx can be evaluated in four different ways: (1) The substitution u = c...

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Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman win...

A: we should find the height of the rectangle such that the window will admit the most light.

Q: So 4х cos (2x) dx e x COS

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Q: 3. 2t t dt ST-t

A: To integrate the given vector function. ∫te2t, t1-t,11-t2dt...(1)

Q: Write the first five terms of the sequence: 13 ln n n n=1 Determine whether the sequence converges, ...

A: Given

Q: In getting the derivative of a rational function, just get the derivative of

A: Topic:- derivatives   

Q: Find the area of the shaded region. y y= v x 1 1, 1) X= 27 1 y = 10 15 20 25 2. 4.

A: Given query is to find the area of the shaded region.

Q: Sam's Smoothies serves many kinds of smoothies by blending fresh fruits and yogurt. Alex loves smoot...

A: Given query is to find the amount spend on smoothie.

Q: The population of a city is 145,000. It declines continuously by 3% per year. Assuming this trend co...

A: Decay function is given by y=a(1-b)t where a is initial amount          b is decay factor          t...

Q: e3x (1 – 2e3x)2

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Q: A. Fill in the table and guess the value of the limit. 1. lim f(x), where f(x) = %3D f(x) f(x) 1.002...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 8 ka > 2sin 2 ...

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