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Q: Given f(x)=x + 2vx. Use the definition of derivative to find f'(x).

A: Given that        f(x) = x + 2√x Here by using the definition of derivative we have to find f'(x).

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Q: Let fx) = 10x +4-15 ex, Then the equation of the tangent line to the graph of fa) at the point (0,-1...

A: I am attaching image so that you understand each and every step.

Q: 1. SSin³ 3x Cos² 3x dx 2. JSin* 2пу Сos$ 2пy dy 3. JSin8 3пx Сos83пх dx 4. STan“ x dx

A: 1) Given:        ∫sin53x cos23x dx Using powers of sine and cosine :      substitute u=3x→dudx=3→dx=...

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Use a graphing utility to find the polnts of Intersection of the graphs of the equations. Check your...

A: Given query is to find intersection points.

Q: Question 2 Find the domain: X-y f (x.y) = x2+x-6 O {(x, y): x# -3 and x # 2} O (x, y): x - y 0} O En...

A: The function should be well defined. For this function to be well defined, denominator must not be e...

Q: 2vx +x=1 lim X→00 Зх — 1 zero infinity another answer

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Q: Question 13 Find the domain of the vector-valued function. 4. r(1) =i+V7-1j+ In(1-5)k 1-8 O 17,5) O ...

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Q: Evaluate the integrals of the functions graphed by using the formulas for areas of triangles and cir...

A: Area of triangle =( base *height )/2 Area of semicircle = (π(r^2))/2

Q: Find the angle between u = and v = . If needed, round your answer to the nearest tenth.

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Q: Problem 2. Find all pairs (s, t) of Gaussian integers s, t e Z[i] that satisfy (7+4i)s+(11+2i)t = 3+...

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Q: -x³ +10x² – 5x+15 -dx x²(x² +5) | 4. Partial Fractions dx 5. Half-Angle Substitution | 3+5cosx

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Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a...

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Q: 2. S(2 – 3e*) dx

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Q: 1.n f csc n² d0

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Q: Find an equation of the line tangent to the graph of y sin x – 3y = 4 at the point %3D (, 4) .

A: y2sinx - 3y = 4 at (π/2 , 4) we have to find slope of function 2ysinx(dy/dx) + y2cosx -3dy/dx = 4 (d...

Q: Solve by Chain Rule y = tan ( V3x² + In(5X*))

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Q: X 11. Find f (9(x)) and 9(f (x)) for the pair of functions. f (x) = a² + 1 g(x) = x – 10 f (g(x)) =x...

A: The given function is: fx=x2+1gx=x-10 To find the value of fgx and gfx

Q: Integrate the function. dx Jzx (1+x) A sin-1 +C tan-1 C In |x|•C D tan-1 .C

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Q: Let y(t) represent your bank account balance, in dollars, after t years. Suppose you start with $300...

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 1 and x = 3 x-intercept...

A: Question- Write an equation for a rational function with:   Vertical asymptotes at x = 1 and x = 3  ...

Q: find the second derivative of y=[(tane^2x)+(e^tan3x)]

A: The guven function, y=tane2x+etan(3x)

Q: dy If y = (t² + 7t + 5) (2t² + 6), find dt

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Q: The cost of producing a car depends on the price of steel (s) in dollars per pound and the hourly wa...

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Q: A radio active element (x) has a half-life of 38 hours. Initially, X = X0 %3D . Determine the amount...

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Q: (4,-) Find the orthogonal coordinates of point P in a plane whose polar coordinates are

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Q: 2. A triangle has a height that is increasing at a rate of 2 cm/s, and its area is increasing at a r...

A: Area of the triangle , A =12(Base)(Height) Product Rule of Differentiation : du.vdt=u.dvdt+dudt.v

Q: Write an equation for a rational function with: Vertical asymptotes at x = -4 and x = 1 x-intercep...

A: Given query is to find the rational function with given characteristics.

Q: the given Cauchy-Euler equation to a differential equation with constant coefficients. (U

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Q: cosh?x-sinh²x = 1 %3D

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Q: For the demand equation, use implice deferentiation to find dp/de. 18p + 4p +3-x

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

Q: For the function y 8 f(æ) = 1+ x² ' a. Find the slope of the line tangent to its inverse function at...

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Q: Parametric equations for the line through (5, 3, 7) and parallel to the line æ = 3 – t, y = 2, z = 8...

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Q: Given that fCx) = x"hc) h'(1)=6 Calculate f'(-1) =

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Q: 3. What indeterminate form is the lim x. Evaluate the limit.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: for a particular commodity, the demand function is q= 1/4(400-p^3). fine e when p=6

A: To find e when p=6

Q: nd the inverse transform of 52+0.4s–0.21

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Q: 15. S 4cot 5x csc25x dx

A: Student has specifically asked for the solution to Question(15) only. Hence solution to that problem...

Q: uaponbo Duwoyo an pooO *+1 And any Intercepts. (If an answer doc not edst, cnter DNE.) x-Interoept (...

A: NOTE: Refresh your page if you can't see any equations. . to find the x-intercept, take y=0 here ...

Q: With x people on board, a South African airline makes a profit of (960−3x) rands per person for a sp...

A: Given problem:- With x people on board, a South African airline makes a profit of (960−3x) rands per...

Q: 2 + Vx lim x→∞ 2 – V3

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Q: Solve by Chain Rule f(V) = /2y + (3y + 4y²)³

A: The answer is in step 2

Q: 15. S 4cot 5x csc25x dx

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Q: 2. S(2 – 3e*) dx

A: Use simple integration formula.

Q: Find the natural domain and graph the functions(answer all points) f(x) = 1 – 2x – x²

A: The domain of a function is the set of input or argument values for which the function is real and d...

Q: 1 2 5. 2 . 5 +1. Va) da Find + C

A: Given: I=∫-5·x6+1x-2x6+1·xdx We know that; The Sum rule; ∫fx±gxdx=∫fxdx±∫gxdx The Power rule; ∫xndx=...

Q: 3 7 htx) 7 22 h'(x) 5 10 90. Selected values of the increasing function h and its derivative h' are ...

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Q: A population P obeys the logistic model. It satisfies the equation dP 7 Р(11 — Р) for Р >0. 1100 dt ...

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Q: A balloon leaving the ground 60 ft from an observer rises vertically at the rate of 10ft/sec. How fa...

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