Determine the point(s) where f(x)=has horizontal tangent line(s).

Q: Use Descartes' Rule of Signs to determine the possible numbers of positive and negative real zeros.…

A: To find number of positive real roots of a polynomial f(x) we find changes of sign of coefficients…

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

A: NOTE: Refresh your page if you can't see any equations. . the given value of x is x=0 so the…

Q: Question 7 dy The Integrating Factor of the differential equation + y tan x = sec x is dx (A) B COS…

A:

Q: Question 19 Referring to the D.E in question 18, (y - x + xy cot x) dx + x dy = 0, what is the…

A:

Q: se logarithmic differentiation to find the derivative of y = sin(6x)¹+3x. y =

A: Find the derivative of the y= sin(6x)1+3x

Q: (b) Is the function f(x)=z+z+1| continuous at every z? Is it differentiable at every z? Sketch the…

A: Explanation of the answer is as follows

Q: i do not understand how 25c3 is equal to 3450. please can you explain?

A: There is a mistake on calculation of  C325see below the correct calculation

Q: xy + 4 = x+y

A: To differentiate implicitly with respect to x.

Q: 1. Use the graph of f in the given figure to do the following: (a). Find the value(s) of x in the…

A: Given Graph:-

Q: Determine whether u and v are orthogonal, parallel, or neither. u =(2, 27) ✓ = ( 1²/²1 - 1²/1) V O…

A:

Q: Which of the following equations is an EXACT Equation? A(y² + 2xy-2y) dx = 2(x + y) dy = 0 B 2xy +…

A: We need to choose correct option.

Q: Use the method of cylindrical shells to find the volume of the solid formed by rotating the region…

A:

Q: For y=f(x)=2x3​, x=4​, and Δx=0.05 find   ​a) Δy for the given x and Δx ​values, ​b) dy=f ′(x)dx​,…

A: We have given  y=fx=2x3 x=4 and Δx=0.05 (a)   Δy= fx+Δx-fx         Δy=f(4+0.05)-f4…

Q: Find and simplify dy dx y = sec³ (sin(e³x))

A: Topic = Derivative

Q: 1 Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(x) 0.502 the…

A:

Q: Evaluate the following limit. If needed, enter oo for ∞ and -00 for - ∞. lim *→∞ 7x³ 6x² - 9x 25x -…

A:

Q: Find sin(), cos(4), and tan 2 cos(x) 180° < x < 270° sin (4) - COS cos (4) = tan (*) = = 24 25' from…

A: given cosx=-2425by half angle formula sinx2=±1-cos(x)2given that 180&lt;x&lt;270so 90&lt;x2&lt;135…

Q: aph the solution to the following system of inequalities. 3x-y>-2 y<-2x-5 then give the coordinates…

A:

Q: 2. Given Q(x) = 27x³ +1. a) b) c) Show (3x+1) is a factor of Q(x). Factorize Q(x) completely into…

A: Given Qx=27x3+1

Q: (c) (d) 120 x² + 3x + 1 x² - 4 [ 21 dx x arctan x dx

A:

Q: If_f(x) = xcotx , then f(л/4) = Ов A. K B. 2 С. 1-л/2 D. 1 + л/2

A: See this solution in below.

Q: Find the volume of the solid formed by rotating the region enclosed by ey-axis. x = 0, x = 1, y = 0,…

A:

Q: For the equation given below, find 3 x³y2-3 r2y = 5 dy dx

A:

Q: 1. If u = x tany², z = 3te", y = (a) (b) ди Əs ди dt In s 1+1 Find the following using chain rule.

A: Part a Given that : u=x tany2x==3testy=lnst+1 Consider: ∂u∂s=∂∂sx tany2=∂∂xx tany2∂∂sx+∂∂yx…

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter JNE.) x². lim x-0…

A: Please see the below picture for detailed solution.

Q: The monthly demand function for a product sold by a monopoly is p = 2,100 -² dollars, and the…

A: Concept: The revenue function is given by  R(x)=x×demand function The cost function is given by…

Q: What is the B of f(x, y) = tan (x3³+ 2xy)? [sec ² (x²y³+ 2xy] (3x²y² +2x) [sec² (x²y³ + 2xy ] (+²+*+…

A:

Q: Explain what it means to say that "The limit as x approaches -6 of f(x) is equal to 8." (Note: I am…

A: Given  The limit as x approaches -6 of f(x) is equal to 8

Q: Graph the solution to the following system of inequalities. 3x+4y2-16 -2x+3y<-6 Then give the…

A:

Q: Use Δy≈f ′(x)Δx to find a decimal approximation of the radical expression.   \sqrt{38}

A: The  solution of the problem is given in the next step.

Q: Find and simplify dx y = (ln x) ³x²+2

A:

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A:

Q: To evaluate x ln(x) dx using integration by parts, what should we set du to be?

A:

Q: Find the component form of v given the magnitudes of u and u + v and the angles that u and u + v…

A:

Q: When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium…

A:

Q: Given f (x)=√4x +1: A. Find f'(x) using the limit definition. B. Find the equation of the tangent…

A: Given that  f(x) = √(4x+1).   (A) find f'(x) using limit defination. (B) find the equation of…

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A:

Q: (3) Determine whether each integral is convergent or divergent. If it is convergent evaluate it. (a)…

A:

Q: Two airplanes are flying in the air at the same height. Airplane A is flying east at 400 mi/h and…

A:

Q: 1. Use the graph of f in the given figure to do the following: (a). Find the value(s) of r in the…

A: As per the rules we can answer the first question and rest can be reposted.

Q: -Improper Integrals if we want to integrate a rational function using partial fraction…

A: We have given  To find integration using partial fraction decomposition  Let,  I =∫pxqx dx If degree…

Q: 27. Use the method of completing the square (then u-sub) to integrate the following function.…

A:

Q: Find an equation of the ellipse satisfying the ff: ditistus one of the foci is at (-1,0);…

A: We need to find equation of ellipse.

Q: A typical cup of coffee contains about 80 mg of caffeine and every hour approximately 16% is…

A:

Q: 8. The function f(x, y) = x² + 4y² - 8x + 16y - 2 has one critical point. Determine its location and…

A: We have to find critical point and its location Topic:- Application of derivative.

Q: Find the following information for each vector, Graph component form, magnitude and direction angle…

A:

Q: Consider the points A(3, −3, 3), B(4, −5, 0), C(−3,−4,0), and D(6,2,-6). (a) Find the volume of the…

A: a) volume =231  b) diatance= 231619

Q: Use Figure 1 to evaluate the trigonometric function. Enter the exact answer. tan B = B 11 Figure 1 A…

A:

Q: Question 7 Find the values of a and b if f(x) = bx³ - 1, if 3x + a, if O a 3 and b = 1 O a = -3 and…

A:

Q: Assume that lim f(x, y) = 2 (x,y)-(2,5) lim g(x, y) = 3 (x,y)-(2,5) Evaluate the following limit.…

A: We have, limx, y→2, 5fx, y = 2limx, y→2, 5gx, y = 3 To evaluate: The value of the limit limx, y→2,…