Q2: The equation of the tangent line to the graph of y=r2 and t=4x² at t=1 is (not that x is positive) a) y-16x +15=0 b) y-8x+3=0 c) 4y + 2x-3=0 d) 4y+2x-5=0 e) others

Q: The output of a factory is changing at the rate of Q' (t) = 2t³ - 3t² + 10t + 3 units per hour,…

A:

Q: Find the first and second derivatives of the function. Check to see that your answers are reasonable…

A: Solution is here

Q: Assume that f(x) is a function defined by f(x) x²-3x+1 2x1 for 2 ≤ x ≤ 3. Prove that f(x) is bounded…

A:

Q: Let g(x)= log4 (13-5x). State the domain of g using set or interval notation. . State the range of g…

A: g(x)=log413-5x Given function g is unbounded when 13-5x=0⇒x=135 The equation of the vertical…

Q: Let y 5x²8x + 4. If Ax = 0.1 at x = 1, use = differentials to estimate Ay Ay ~

A:

Q: Q1: If y=sint and t = sinx, then at x = a) 0 b) c) cosl d) - cosl e) others

A:

Q: 1. Given f(x)=x+5 and g(x)=x²+8x+15 Sketch the graph of y=- _f(x) g(x) Mark the asymptote(s),…

A:

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

A:

Q: Differentiate the function. 5 y = 6e* √ Read It Need Help? Watch It Master It

A:

Q: P3: Calculate the volume of solid of revolution when the region bounded by y = sin 2x and x²-y-2 = 0…

A:

Q: 1 B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In; x²+y²

A: To find all the second derivatives for fx, y=3xy2+2xy+x2 ln1x2+y2.

Q: -S² √√x" dx -2- ។ (X) 5 JX dx -2

A:

Q: A Ferris wheel has a radius of 12 m and rotates once every 16 seconds. Suppose a passenger boards…

A: We can use cosine equation to solve the question

Q: A tire manufacturer estimates that the demand function for their radial tires will be given by P =…

A:

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

A:

Q: The linear approximation at x = 0 to sin(4x) is A + Bx where A is: and where B is:

A:

Q: Use definition of derivative to find derivative of the function f(x)=3/x+2, at x=-1

A: Given f(x)=3x+2    at x=-1To find f'(x) at x=-1

Q: Use the Laplace transform to solve the given initial-value problem. y" + y = √2 sin(√2t), y(0) 13,…

A:

Q: (A) (в Identify the form of the partial fraction decomposition of the rational function -3² +10…

A:

Q: Q/ find the vector whose length -5 and its direction (60°) with x axis

A: Here, the amplitude A=5, and the angle with x-axis is θ=60°.

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

A:

Q: 4. What is the area of the largest rectangle that can be insribed in the first quadrant under the…

A:

Q: Find the general solution of the differential equation: (1 + cos(x))y' - (sin(x))y= 2x 2x Step zero,…

A:

Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

A: Given that     F(x,y,z) = x2i+y2j+z2k ,  We have to evaluate ∫∫sF.dS , where S is the boundary of…

Q: 4. (a) Find the general form of the equation of a line through A (2,-2) and B (-2,3). 4. a) (b) Use…

A:

Q: Evaluate the integrals. a. b. [x√1-x² dx X x sin cos 3 -cos-dx

A:

Q: 3. What is the height of the right circular cylinder with greatest volume that can be inscribed in a…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: The law of Sines. b) Given: A= 36° a = 8 b=5 Find: B-? C-? c-?

A:

Q: Question. R is the region bounded by the functions f(x) = 3e¹ - 1 and g(x) = x² - 6. Find the area…

A: R is the region bounded by the functions fx=3ex-1 and gx=x2-6. To find the area of the region…

Q: Determine the vector and cartesian equation of the plane that passes through the points A(−3, −2,0),…

A:

Q: 2- Explain why the following linear systems are positive definite, then solve them using the…

A: answer is in next step

Q: Find the average value fave of the function f on the given interval. f(x) = 3x² + 8x, [-1, 5] fave -…

A: We have to find the average value

Q: a. ay ty=f"(x) -1 0 1 -2. 3 HINE f"(x) is a linear function. For each of the graphs above, answer th…

A:

Q: Find the vector equation of the plane that contains the line = [2,0,5] + t[2,-1,3] and passes…

A:

Q: Consider the second order differential equation with initial conditions u" - 4.5u' - 5.5u = -4…

A: The given equation is u" - 4.5u' - 5.5u = - 4sin(3t)

Q: x³ cos x dx

A:

Q: Sv x² - 36 dx

A:

Q: Select all that apply. Solve this equation; domain 0° ≤ ≤ 360°; answer to the nearest whole degree.…

A:

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

A:

Q: that the internal of Convergence of the server 24-12-1 Z n=1 (4-3)² not is given by - √/24 x = = =…

A: Using ratio test, to find wheather series is convergent or divergent in which interval.

Q: An invoice dated January 15th , in the amount of $12,500 has the following terms: 2/10, n/30.  This…

A: topic- discount calculation term 2/10 signifies if amount is paid with in 10 days,2% discount will…

Q: II. Solve the following Linear differential equations of order one.  2.)    хdy + (у — ху + 2)dx

A:

Q: C. d. -TT/6 -TT/8 (secx + tan x)2 dx (sin 2x) dx

A:

Q: Consider the following integral. fx²√³+1 dx Identify the definite integral that will result after…

A: topic- indefinite integral

Q: 12 Given that f(x) = 2x 3 + x - 3, evaluate the function f(-2). 11 -69 -21

A:

Q: A vector collinear to ū= is: a. d. 1,-2,-3> b. -1,2,3 > e. [K C.

A: Solution is here

Q: Power series p₁(x) and p2(x) are given below. P₁(x) = 1 + 7x +49x² + 343x³ +2401x² + ... P2(x) = 1 +…

A: Here, to find the series notations of p1(x)+p2(x)

Q: A baseball team plays in a stadium that holds 54000 spectators. With the ticket price at $11 the…

A:

Q: Find the function who’s derivative is dy/dx = tan(x)sec(x) - 9x^2

A: Given: dydx=tanxsecx-9x2   As we know that; The Power Rule: ∫xndx=xn+1n+1+C And the common integral.…

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.