Find the equation for the tangent line to the function f (x) = 7x² − 2x at x = 1.

Q: If a projectile is fired with an initial velocity of vo meters per second at an angle & above the…

A:

Q: The complex equation wn = z have solutions in the form of wm=r1/n (cos((θ+2πm)/n) + i sin ((θ +…

A:

Q: If the function f(x,y) is continuous near the point (a,b), then at least one solution of the…

A:

Q: The substitution best used in: da +x+³x is

A:

Q: Which of the following improper integrals are finite and well-defined? (Tick all that apply) (A)…

A: The answer is in step 2.

Q: dy The general first order linear equation can be written in the standard form+p(t)y=g(t). The…

A:

Q: Let f(x) = 5x2-3x and g(x)=6x+5. Find f[g(k)]. f[g(k)]= (Type an expression using k as the…

A:

Q: dy dt Given y' + 2ty=2te-2, p (t) = 21 and hence the integrating factor is µ(1) = e 21 ore ¹². Given…

A: The given differential equation is: y'+2ty=2te-2t

Q: Suppose f(x) = -5x - 10 and g(x)=√x²-3x +9. (fog)(x) = (fog)(5)=

A:

Q: -2x Find an equation of the line tangent to the graph of G(x) = 5e The equation of the line is y= at…

A: Equation of tangent line

Q: Find the indefinite integral on the domain of positive real numbers. Enter an exact answer. Remember…

A: The given integral ∫4x+65xdx. We have to find the value of integral.

Q: Compute the volume of a solid obtained by rotating a region below the graph of y = -∞ < x < ∞0. (Use…

A:

Q: Let f(x) Find the critical points of F and determine whether they are local minima or local maxima.…

A:

Q: . For an arbitrary function f, we define f*(=) = lim h→0 f(a+h)-f(z-h) 2h if this limit exists. Let…

A:

Q: Find f[g(x)] and g[f(x)]. f(x)=√√x+4, g(x)=12x² - 8 f[g(x)] = g[f(x)] =

A: Given query is to find indicated composite function.

Q: why is the calculation in the attached image? i know you can switch the lim x->+infinity to…

A:

Q: Given f(x) = (x-3)/(x+5), find the f"(-1). Round your answer to two decimal places. Your Answer:…

A: Here is the solution:

Q: Which vector is not collinear with [a,b,c]?   a)  [-a,-b,-c]   b)  [a+1,b+1,c+1]   c)…

A:

Q: i cant see the rest of the solution

A: To find the integration.

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A:

Q: Find the determinant of the following matrix. B = 1 1 -4 2 -2 4 3 -2 2 4 0 0 -4 23 0 0 0 0 0 0 3 0 3…

A: To find the value of given determinant.

Q: Evaluate the following integral. In (3x/2) S 11e cose dv In (7x/6)

A: This is a problem related to integration. Please follow the procedure given below.

Q: Evaluate the function for the following values of x. f(x) = 3x if 0 ≤x≤ 15 x + 15 if 15 30 Enter…

A: f(x)=3x,  if 0≤x≤15x+15, if 15&lt;x≤300.5x+30 if x&gt;30

Q: A rectangular field is to be fenced off along the bank of a river, and no fence is required along…

A:

Q: Find all values of x for which (-1)-(3x-1)" Σ n² #m] converges absolutely.

A: Solve the following

Q: 1. A left Riemann sum, a right Riemann sum, and a trapezoidal sum are used to approximate the value…

A:

Q: Solve the differential equation: (x+y)dx+(2x-y)dy=0

A:

Q: 5 -x + y = 1/2/2 6 1 -X 10 -3 1 < x < 2

A:

Q: Find an equation of the tangent line to the curve y=x√x that is parallel to the line y = 6 + 9x.

A:

Q: 5) write an equation of f(x) X 1 6 [ f(x) 10 26 42 58 12/26 42

A: Given: x 1 3 5 6 y 10 26 42 58

Q: Find the angle between u = - 9j and v=8i-3k in radians. Round to two decimal places. OA. 1.57 OB.…

A:

Q: 22. sin x 2 dx -11 + x²

A:

Q: Which equation represents the graph? *****

A:

Q: 5. Radioactive decay. Gold-198 has a decay rate of 25.72% per day. The rate of change of an amount N…

A: This is a problem related to integration of the function. Please follow the procedure given below.…

Q: If D(p)=5400-60p and S(p) = 400+40p are demand and supply functions, respectively, find the…

A:

Q: What is the y intercept of the slope of the tangent line to the function f(x) = sin(7x) + cos(14x) +…

A:

Q: 1. Given the inverse demand function P= 60 - 4Q, find MR (marginal revenue) function. 2. If TC=8Q+Q²…

A:

Q: Test the convergence of the following series: (a) n=1 n+2" n²2" (b) 00 COS (nπ) n

A:

Q: Evaluate the integral. BeBy S 4+eBy dy

A: We can answer the given integral in the below steps.

Q: Solve the following differential equation, give the general solution. 5ydx - x(y-4)dy = 0

A:

Q: Find af/ax and Əf/ay (x+y+4) f(x,y) = e

A: f(x,y)=e(x+y+4)∂ ∂x(ex)=ex∂ ∂x(constant)=0

Q: Find the Taylor series generated by f at x = a. f(x) = 5*, a=1 Choose the correct answer below. Ο Α.…

A:

Q: Starting with an initial value of ​P(0)=20​, the population of a prairie dog community grows at a…

A: Given query is to find the population after 13 months and the population function.

Q: Find the length of the following curve. x² 32 y= +4 Inx, 2 ≤x≤4 The length of the curve is (Type an…

A:

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A:

Q: If a function s(t) gives the position of a function at time t, the derivative gives the velocity,…

A:

Q: Write the vector equation for the line of intersection between the planes ₁:z-z=2 and 7₂: z-y = 1.

A:

Q: I'm not sure I can read the answer correc

A: If f 'x&gt;0 then fx is increasing.If f 'x&lt;0 then fx is decreasing.

Q: पी T [-3, 3] Graph of f b The graph of the function fabove consists of four semicircles.if g (2) = /…

A:

Q: Find lim f(x) if x →∞ 4x - 1 X f(x) 5.

A: