y S(x) = 88 + 51lx2 - 0.5x3,

Q: Evaluate the definite integral. 1 xp 9 + (x + 5)2

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Q: Choose the statement below that is FALSE (only 1 is false) and explain why it is false. 6 #1: 12 #2:...

A: Use basic property of integral.

Q: 5. S V16dy = 6. J 2 V8dc 7. J 3 27dx

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Q: II. Find There is no need to simplify. dr cos-(sin r) – sech(tan- r) 1. y = ecosh z 4r (log3 r) (csc...

A: Given problem:-   To find:-  dy/dx of given function

Q: (2+x, x<2 15. Given the function g(x) = l6-x, x22 Find g(2). a 1 b. 2 C. 3 d. 4 16. (Refer to item #...

A: We have to choose correct option

Q: x? tan x² dx A True B) False

A: We know that eln xm= xm

Q: A 25-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot o...

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Q: Find the area of the triangle with vertices P(1, 4, –2), Q(0,0,0) and R(4,5, 1). NOTE: Enter the exa...

A: We can find the area as below.

Q: Evaluate the given integrals. 5. S(1 – cos 0) csc²0 d0 -

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Q: The equations for two planes are given below. a) Determine a possible value of k for which the plan...

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Q: The graph of f' is given to the right. Determine x-values corresponding to local minima, local maxim...

A: We have to find x value for different points. 

Q: dy +xy 1-y, y(1) = 0 dx

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Q: f(x) | f'(x) || g(x) | g'(x) -1 -7 16 -4 4 -2 1 -1 8 -1 10 11 Assume that f(x) and g(x) are differen...

A: Topic:- function and it's Derivatives

Q: 11. Evaluate the lim a. +00 b. -00 C. d. Indeterminate

A: Given:        limx→0-1x4       =limx→0-1x4

Q: 3. Determine the acute angle, to the nearest degree, between the planes T : 3x+ 2y - 4z +5 = 0 and 7...

A: π1: 3x+2y-4z+5=0comparing with Ax+By+Cz+D=0Direction ratios of normal=(3, 2, -4)n1→=3 i + 2 j - 4 kn...

Q: Find the following derivative 1 g(x) = 2* · (x² + 1)

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Q: The slope of the tangent line to the curve y 2x at the point (- 5, - 250) is: The equation of this t...

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Q: Evaluate the given integrals. dx 3. Csc 3x-cot 3x

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Q: Activity 4: 1. Find the indicated derivative for each of the following functions and evaluate as ind...

A: We know, ddxxn=nx(n-1) , for any real number n. ddxcos x= -sin x ddxsin x= cos x

Q: etermine f(x) given that f'(x) = t* – t³ + t2 +t – 1

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Q: Using the partial fractions technique, the function fx)= 22x+58 can be written as a sum of partial f...

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Q: After 100 years, 1/32 of the original amount of a substance remains. What is the substance half-life...

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Q: The population of a country will quadruple in  4 years. If its current population is  15000, what wi...

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Q: Find the coordinates of the centroid of the solid generated when region bounded by x2 + y? – 4y = 0 ...

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Q: Find the area of the parallelogram that has u = 2i – 2j + k and v =j+3k as adjacent sides. %3D NOTE:...

A: We know that, the expression for the area of the parallelogram with adjacent sidesu→ &amp; v→. A=u→×...

Q: (a) Prove that L 6. f(t) dt = f(h(z))h'(z) – f(9(z))g'(z). [Hint: Rewrite the integral part using an...

A: Given

Q: 5. The velocity of a moving object, in feet per minute, is given by: v(t) = t? 7t - 7t + 10 a. What ...

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Q: Question 8 1 and g(z) = I - 4 16 find the domain of f(g(z)) Given f(z) : %3D %3D I + 3 Domain: Ques...

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Q: (1) As x→ t0, the end behavior of the polynomial p(x) = 3x°(1 – 2x + x°) can be resembled as (A) p(x...

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Q: Evaluate the given integrals. 2. S sin?x sin 2x dx

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

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Q: 33)4=3x-9xA 20c+4

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Q: Use the given graph of the function f to find the following values for f-!. 1. f'(-4) =| 2. f'(-3) :...

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Q: A rectangular box with a volume of 931 ft° is to be constructed with a square base and top. The cost...

A: Solution is given below:

Q: An inverted cone has a height of 15 mm and an initial radius of 16 mm. The volume of the inverted co...

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Q: 1. Evaluate the integrals and sketch the region of integration. 1) º, S(+y +1)dædy 2) So , 1 sin ydy...

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Q: Solve this problem on separate paper. Make sure to show all supporting work. Use the price-demand eq...

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Q: 1. Use the Euler, improved Euler and Runge-kulta methods to Solve the folllowing ODE s: 42 y =0 C. y...

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Q: tan'y - ycosx = sin? x + find y',y" If

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Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact answe...

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Q: Question 3 Find the center and radius of the circle whose equation ís z² + 4z + y² – 1 = 0. The cent...

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Q: A retail store estimates that weekly sales s and weekly advertising costs x (both in dollars) are re...

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Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the l...

A: topic- application of derivatives

Q: Find the area of the triangle with vertices P(1, 4, –2), Q(0,0,0) and R(4, 5, 1). NOTE: Enter the ex...

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Q: The sides of a square increase in length at a rate of 3 m/sec. a. At what rate is the area of the sq...

A: lets the size of square is l so the rate of change of length = dl/dt = 3 m/sec area of square = l2 r...

Q: Which is the better base for working with exponents and logs : e or 10? Justify your answer.

A: log with base e is better for working with exponents.

Q: Write an equation for the polynomial graphed below -5 -4 -3 -2- -3+ -4 -5+ y(x) = %3D

A: We see that the curve passing through the points 1, 4, -4.  

Q: 2х + у dy 3+ 3у? — х dx 3.

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Q: Solve the following system, if possible. T1: X + 8y - 2z = 5 T2: 4x + 7y + 2z = 0 T3: 5x - 10y - 10z...

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Q: Find the values of constants a, b, and c so that the graph of y = ax° + bx + Cx has a local maximum ...

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