Given the function below find the value of f(-4). * if x < -5 х — Зх-? if х>-5 2x² + 1 f(x) = O -67/16 None of these O -7/16 O -193/48 О 3з

Q: Find the equation of the tangent line and the normal line of the curve at given point: 1. y? = ,…

A:

Q: V3 - 2s ds 02 40

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

Q: Evaluate each of the following indefinite answers in simplest form (factored form) 3dt 1. (2t +8) Jt…

A:

Q: Match the differential equation with its direction field. y' = sin(10x) sin(10y) y \ 20y 0.34 15 0,1…

A: Here, to match the graph of the given differential equation: y'=sin(10x)sin(10y)

Q: Streaming Music Consumers are spending more on music from digital sources than they do on CDs.…

A: f(t) =3.7+ln(t+1)(a)in 2012 , t=0f(0)= 3.7 +0.84 ln(0+1) = 3.7+ln1=3.7+0f(0)=3.7Amount spent by…

Q: 1. State the equation(s) of all horizontal, vertical, and slant asymptotes (if any) for each of the…

A:

Q: Given: -8 17 sine =

A:

Q: (2) Use logarithmic differentiation to find . Do NOT use the quotient rule here. e4x y = (x3 + 4)3…

A:

Q: 3) roțațion 90° counterclockwise about the origin

A: We know that,  90° counterclockwise rotation: (x,y) becomes        (-y,x)

Q: (sec3x The integral of the given function f (sec dx is \tan3x. cot³3x cot3x + C 3 а. 9 cot3x cot3x…

A: cot2x+1=csc2x sec(x)tan(x)=csc(x) ddx(cotx)=-csc2x ∫xndx=x(n+1)n+1, for any real number n.

Q: Consider the function f(t) = 3 sec?(t) – 4t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A:

Q: Find, correct to three decimal places, the point on the curve y = 9 In x + e at which the tangent…

A:

Q: 2x + 5x 1. Ar + Ba + Cz² + D¤ Consider the function f(x) = An antiderivative of f(x) is F(z) where A…

A: Answer is solved in step 2 using integration.

Q: For the graph shown, identify a) the point(s) of inflection and b) the intervals where the function…

A: Given graph:-     To find:- For the graph shown, identify a) the point(s) of inflection and b) the…

Q: The integral of the given function f x2 dx is (9-x2)2

A:

Q: given point 1. y = 2x° - 3x² - 2x + 5 ; where x 1

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

Q: (8x? + 2x) dx = 2x + x? Select one: OTrue O False

A:

Q: 4. [V40-4v-v² dv

A: Please see the answer below.

Q: -Arctan + dx The integral of the given function S (x²+4)2 is Arctan + C 8(x²+4) 16 b. - Arctan- + а.…

A: Given:   ∫dxx2+42

Q: Given vectors a = (-1,-2),5= (-2,3), c= (3,-1),đ = (-3,2) find the dot product of 5 and d. -12 -1 12…

A:

Q: estion Evaluate:S sin (3x) cos³(3x) dx r answer estion Ising Trigonometric Substitution, evaluate: -…

A: Solution:

Q: Evaluate lim f(x+h)-f(x) h-0 where f(x) = 2 – 3x². h None of these -X 6x O -6x O 3x

A:

Q: (x +2y-4) dx + (ax-4y ) ay Solve by Coerlaents linear in two variable

A:

Q: Find the Gauss quadrature rule for f(x)dx z wof(xo) + wif(x1) + wzf(x2). Nodes: Xo = X1 = X2 =…

A:

Q: Find the sum of the critical numbers of f(x) = 3x4 - 4x3 + 2.

A:

Q: Find the radius of convergence about x = -2 and interval of convergence of the series Sn°(ar + 2)"…

A:

Q: How do you take the integral of 2 * sqrt(t^2 + 1) ?

A:

Q: Given the following vectors, add the vectors and find the magnitude and angle of the resultant…

A: 4. Given, v=(5,9) u=(-5,-9) According to given, Resultant(R)=((5-5)²+(9-9)²)1/2 R=0 Angle is given…

Q: 38. f («) — е -3a; c= 2

A:

Q: 2, 22, 23 5 67 8 * 3. Test the series

A: Write the series as summation and use ratio test .

Q: 4 f (x) = x + 2

A:

Q: Find the maximum value of the function f(x) = x³ -9x2 + 15x - 5. Answer: Find the value of x for…

A: In order to find the critical values we need to differentiate f(x) with respect x and then equate it…

Q: 12. f (x) = xe -x

A:

Q: Find Sc F · dr for F = 3yi – (sin y)j on the curve counterclockwise around the unit circle C…

A:

Q: #4. Find the equations of the tangent lines to the relation 3y = x² - 4y when x 2.

A:

Q: dx the correct solution of this integral is:- 1+x A) 2 V5 В) Зл

A:

Q: Use the cylindrical shell method to calculate the approximate volume of the solid formed by rotating…

A:

Q: Find fx , fy and fz. 1 -1 f(x, y, z) = tan %3D \xy²z4, ().

A: Here we will find Fx,Fy,Fz;

Q: |(sinx/cos2x)dx = sec x + C %3D Select one; O True O False 16x e2^3+1 dx = 3e3+1 + C Select one…

A:

Q: Find the fourth degree Taylor polynomial, T4(x), for f(x) at -: Que f(x) = 3 sin(x) Que a) Find the…

A: We have to find Taylor polynomial

Q: dy #1. Use implicit differentiation to find for each of the following relations: dx x' +y' = 6 2.xy…

A:

Q: |(4csc2x - 3sec2x) dx = -4cotx - 3tanx + C Select one: O True O False

A:

Q: -8 17 sine -15/17 -8/17 15/17 8/17

A: Given query is to find the measure of indicated angle.

Q: Find the x values of all the horizontal tangents to the function f(x) = cos.x + /3 sinx on the…

A:

Q: 1 1. Let f (x) = x - 5, g (x) = V5 - x and h (x) = 2x 1 a) Determine the domain of f, g and h. b)…

A: We have to find the function

Q: with A parti cle is moving a cc eleratoN at) = 12t+18. Its positian at time t = 0 IS S© =4 and its…

A: This question is related to integration, we will solve it using given information.

Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: y' + 3xeY = 0

A:

Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated poi…

A:

Q: (b) Use implicit differentiation to find when Sr' + ry - Se'g

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