Simplify the expression. sec @ — csc ө 2) sec 0 sin 0 – cos 0 csc 0

Q: .John can swim at 4km/h in still water. He wishes to swim across a river to a point directly…

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Q: 3. S: (х2+2)2 dx

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Q: Let f''(x) = 2x + 4 and suppose f'( – 1) = 6 and f(– 1) = 3. Find f'(x) = and find f(3) =

A: Given,            f"(x) = 2x + 4,           f'(-1) = 6,           f(-1) = 3

Q: li X•sin 5

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Q: 5. Write, but do not evaluate, an integral expression that would give the area of the region between…

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Q: In a predator/prey model, the predator population is modeled by the function y = 800 cos(2t) + 6000…

A: y=800cos(2t)+6000(a) y'(t)=800×(-sin(2t))×2          =-1600sin(2t)      Suppose…

Q: 4 x ) dx. 4 tan x

A: topic - definite integral using integration properties

Q: Suppose H (x) = V4x-8. Find two functions fand g such that (fog)(x) = H (x). Neither function can be…

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Q: Consider the transfer function: Y(s) s+2V3 H(s) X(s) s2+2s+8 What will be the stationary response…

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Q: An Olympic athlete set a world record of 9.65 s in the 100-m dash. Did his speed ever exceed 37 km/…

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Q: Suppose there is no known formula for g(x) but we know that g (2) = - 1anc; g^ prime (x)= sqrt x^ 2…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

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Q: Consider the function f(x) = 3 – 6x, - 3 < x < 1. The absolute maximum value is and this occurs at x…

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Q: Write the integral in terms of u and du. Then evaluate. (8x + 19)-2 dx, u = 8x + 19 (Use symbolic…

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Q: dx V5+4x-x²

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Q: 6x if x 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: An Olympic athlete set a world record of 9.65 s in the 100-m dash. Did his speed ever exceed 37 km /…

A: Given : Time =9.65 s Distance =100m

Q: (1) Find an equation of the tangent plane to the surface at the given point. f(x, y) = x? – 2xy +…

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Q: Given the function f(x,v) = *ye6-sin²x e cos?x The second derivative f, of f is equal to 0. Select…

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Q: Suppose there is no known formula for g(x), but we know that g(2) = -1 and d (z) = V2 +5 for all x.…

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Q: Let f(x 1 What is the range of f(x)? x-y O [0, ∞) O (0, 0) O All reals O There is no range

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Q: Use any method to evaluate the integral. S 300 dw w?/100 - w? S- w/100 – w? 300 dw (Type an exact…

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Q: x = 7- 2t Which of the following lines is parallel to L: L : y = + t z = 4 + t x = 2+4t L{y= - 1+ 2t…

A: Here we will find the parallel line,

Q: For a certain automobile, M(x) = - .015x + 1.49x - 7.9, 30 sx s 60, represents the miles per gallon…

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Q: Se° cosh@de

A: We have to find the integral

Q: (d) 2. +2 = 0 (e) In enz – 1ln r - 4 = In 3 |

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Q: = 0.3(1- 2) (-)P. dt 200 at time t. he population in equilibrium? he population increasing?

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Q: V4x – 7y – 4 Find lim by rewriting the fraction first. 4х -7у - 16 (ху) ->(4,0) 4x - 7y + 16

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Q: Let f(x, y) = (x² – y²) / (x² + y²). Why does - lim (x,y)→(0,0) f(x, y) not exist? You are dividing…

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Q: Find the following limit. x + 2 lim x→-8- x + 8

A: Given that a limit problem and we solve this problem by using general property of limit.       Here…

Q: graph of Fex) Include all intercepts, asymptotes, extreme points (max/mins) and infléction poin

A: Solve the following

Q: 1. Sx² e**dx

A: 1. To determine ∫x2ex3 dx

Q: The logistic equation d = P(a – bP), Р(а — a > 0, b > 0, is dt Select one: O None of them nonlinear…

A: We have to find if the equation is linear or separable or not.

Q: Evaluate the following limit and show the complete solution

A: Given limit is in the form of 0/0

Q: The slope of the tangent line at any point (x,y) on a curve is 3Vx. If the point (9,4) is on the…

A: This question is based on slope of a curve wich is given as  dy/dx

Q: Simplify your answer. HINT [See Examples 1 and 2.] dy dx Calculate y = x³(4 – x²) dy dx II

A: We need to find derivative.

Q: INTEGRATION OF TRIGONOMETRIC FUNCTIONS AND ITS TRANSFORMATIONS Evaluate the given integrals. Please…

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Q: The function f(x) = x^3 + bx^2 + c has a critical point at (-2, 6). Determine the value of b and c.

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Q: Find an equation equivalent to x²+ y² + 2z²+ 2z - 5 =0 in spherical coordinates.

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Q: 5 li sin lax tan 4x

A: Given query is to find the limit of the expression

Q: Evaluate: S (= + e-5" )dx 1 5x 5 e-5x + C 4 4x 5 5e-42 5x 4 + C 4 5 5x 5 + C - - 4 5

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Q: Find the derivative of the function. -x + 1 r(x) : = |(7x – 4)(x – 8) -

A: Given that a function r(x) and we find derivatives of r'(x) .   We know that d(xn)/dx= nxn-1.…

Q: The total cost function for a product is C(x) = 750 ln(x + 10) + 1800 where x is the number of…

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Q: For a certain automobile, M(x) = - .015x+1.25x-7.5, 30 sxs 60, represents the miles per gallon…

A: NOTE: Refresh your page if you can't see any equations. . and the given interval is  first, we…

Q: Given that x and y are functions of time, find the indicated rate of change. dy dx Find when x= 1, y…

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Q: XYZ company’s cost function for the next four months is C = 500,000+5Q   (a) Find the BE dollar…

A: The cost function of the company C=500000+5Q is given.

Q: Evaluate the first derivative of the following functions: g(x) : = cosx – sinx f (x) = 4x²cosx g(y)…

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Q: Calculate the double integral of f(x, y) over the triangle in the figure below. f(x, y) = 8ex2 y 4 2…

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Q: Evaluate: -ld. dx 1 2 5.027 2 5.205 2 5.025 2 6.025

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