Q4: Let y = √t and a) 2 b) 3 c) 4 t = x² then y(") = 0ifn= d)5 e) others

Q: 9- Solve the question. Lim cos(2x)/x хэл

A:

Q: Q2: The population of a state is known to grow at a rate proportional to the number of people…

A: Given ,  The population of a certain state is known to grow at a rate proportional to the number of…

Q: Determine the average rate of change of the function on the given interval.  f(x)= 3x2-4 on [1,2]

A:

Q: Given the velocity field V = (5x)i + (15y+11)j + (19t) k m/s, determine the path of a particle which…

A:

Q: Determine where the following functions are discontinuous, if anywhere. 0 x = 0 f(x, y): otherwise…

A: We need to find continuity of given function.

Q: The doubling time of an investment is the amount of time it takes to double in value. If an…

A: Topic:- algebra

Q: Homework Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule.…

A:

Q: 3x52x³ +5x² - 2 2³ +1 4. ·[3.25 da

A:

Q: It is estimated that the rate of change of the population of a certain town will be P' (t) = 4+…

A:

Q: Find the area that lies inside both curve: r = 1 – cos(θ) and r = 1 + cos(θ). Draw.

A:

Q: The graphs of a quadratic function and a cubic function are shown below. Both graphs have integral…

A: Given problem:-

Q: The Kirk Kelly Kandy Company makes two kinds of candy, Kisses and Kreams. The profit, in dollars,…

A:

Q: 8 kg/m, where x is measured in meters from one end of the rod. √x+1 The linear density p in a rod 3…

A:

Q: Evaluate the integral 2 ક્ષ ;-) Sa Say e dxdy

A:

Q: Differentiate and simplify this function h (z) = (ez - 1)1/2

A: Given function is: h (z) = (ez - 1)1/2

Q: passes through the point P(3,7,2) and is perpendicular to the plane 3x − 5z – 7 = 0. -

A: The given point is P3,7,2 and the given plane is 3x-5z-7=0.We need to find the vector equation of a…

Q: 4. ABP is a triangle, M is a point on AP. AB = a, AM = 26, and MP = 6. N is the midpoint of BP. C is…

A: We have to find PB→ and prove that M,N and C lie on the same line.

Q: 5. Using the least squares approximation, the best fit an exponential curve y = = ea(x-b) to the…

A: answer is in next step

Q: 9- Solve the question. Lim cos(2x)/x X->T

A:

Q: A) 0 B) 3 (C) 2 (D) 4 E 5 F) 1 Use polynomial long division to write 2x² + x³ 3x² + 4x-9 x² + x =…

A:

Q: A ramp is inclined at 12° to the horizontal. A cart is pulled 8 m up the ramp by a force of 120 N,…

A:

Q: Use Euler's method with step size 0.4 to estimate y(2), where y(x) is the solution of the…

A: Here, the given function is: y'=3x+y2, f(x,y)=3x+y2, h=0.4, x0=0, y0=-1

Q: find dy dx ² +F y = 3 casch + Cosa 3 and x = Sin²³ o

A:

Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values…

A: Given function f(t)=7 cos(t), -3π2≤t≤3π2 We need to plt the graph for the above function

Q: 3. Evaluate 5 sin rdr

A:

Q: Express the function n, lim n→+∞ 4k² in closed for and then find the limit. n³

A: We will first write this function in closed form then we will calculate the limit of the function.

Q: 5 Given h(x) = x³ + px² − x − 4, find a value for p so h(x) has an inflection point at x = -4.…

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

Q: John Jones just paid $3,202.50 for a lawn mower/tractor. If the percent markup based on cost is 83%,…

A: topic - percentage

Q: Find the value of k for which the constant function r(t) = k is a solution of the differential…

A:

Q: Q4/Find x and y that make the equations equal to zero: 5x+2y-4-0 6x+8y-2-0

A: Simplify both equation for x and y .

Q: A company produces a special new type of TV. The company has fixed costs of $480,000, and it costs…

A:

Q: 10- 11- 12- In 2 log₂x X 2 log10 (x + 1) x + 1 dx x log10 x 0 S -dx -dx

A:

Q: Find the equation of the tangent line to the polar curve r = 2 – sin(θ) at θ = π/3. Draw

A:

Q: A fruit farmer finds that if she plants 50 trees per acre, each tree will yield 75 boxes of fruit…

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

Q: The height y (in feet) of a ball thrown by a ch 1 -x² + 6x + 5 - y = 14 where is the horizontal…

A: The height of the ball is given by  y=-114x2+6x+5 in feet where x is horizontal distance from child.…

Q: f (x) = 2x+7 if -5=Xcl 8 If X = 1 14X=3 if 11x-2 31 If x > 3 IS this continuous at X=1 ? formula…

A: Any function f(x) is continuous at x=a if  lim x -> a f(x) = f(a) i.e. Functional value at that…

Q: Evaluate the limits - im 1 lim x→-2 X

A: limit x→-2 1x3

Q: hav is that not the function defined by ху f(x, y) √x² + y² if differentiable at (x, y) + (0;0) if…

A: We have to show that f(x,y) is not differentiable at (0,0)

Q: Find the tangent line(s) to the parametric curve given by a = t¹ - 9t² and y=t² at (0, 9).

A:

Q: Question 1 of 9 Calculate the future value of each of the following investments. Round the answers…

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

Q: Differentiate and simplify this function f (x) = x2/3 sin(x)

A: We have to find the derivative

Q: Find the two values of k for which y(x) = ex is a solution of the differential equation y'' - 14y' +…

A: Solution is here

Q: 2 1 x^²({( ²² - ² - ) } L 3 S S

A: Given that,      L-12s-1s32

Q: Calculate the are bounded by the curves: C. y = e2x and x - 2y + 5 = 0

A: Area

Q: Question Given the function f(x) = 4x² + 6, find the value of c such that f(c) equals the average…

A: Given function is f(x) = 4x2 + 6

Q: Using Chain Rule method Find the derivative of: 5 2. F= x³ + x² + x + 1 1. F(x) = ln Cos(x²)

A:

Q: The result of the following dot product (- 2j + 3k) · (−2ī +2j - 2k) is b. -6 c. 0 a. -10 d. 10 e. 6

A:

Q: 3-Evaluate the integrals in Exercises: 2√3 So dx √4 + 4 + x² 0 4- 6 dx 5. Sot v Jo V1 + 9x² cos x dx…

A: We have to evaluate the integrals.

Q: 3. Given f(x) = cot(x) sin(x) and g(x) = cos³(-x)(sec² (x)-1) sin² (x) a. Prove that f(x) = g(x).…

A: Given that,  fx=cotxsinx and gx=cos3-xsec2x-1sin2x

Q: + 1 -оу-х -oy=x2

A: