2. Find the equation of tangent line and normal line to 3x y3 + 2y =1 at (0.2) (15 points)

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

A:

Q: x² – 16 Evaluate lim x4 2- Vx O -32 None of these 1 O 32 O does not exist

A: Given  Lt   x²-16/(2- √x)        x->4

Q: Зx-5 The function f(x) = is discontinuous for what value of x? 3 2-3x x = 4/3 O x = -2/3 X = 2/3…

A:

Q: Find the derivative with respect to x if f(x) = e -14x The derivative with respect to x if f(x) =…

A:

Q: Give the augmented matrix for the following system of linear equations. -3x1+10x2-6x3-4x4+8x5 = -4…

A:

Q: Write an equivalent exponential equation. 2 log 8 4= 3 The equivalent exponential equation is (Type…

A:

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

A: Solution:

Q: s e8*(x³ + x²)sec² (x*e3* + 1) dx

A:

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

A:

Q: Find the value of x for which the value of the function f(x) = x +3x2 - 2 is minimum? %3D Answer:…

A:

Q: Write an equivalent exponential equation. 2 log 8 4= 2 /3

A:

Q: What is the value of csc(0) if the terminal side of the angle 0 intersects a circle at the point…

A: At first we want to find radius of the circle.

Q: given

A: Please refer to the image below

Q: EXACT VALUE OF C IN INTERVALS QUESTIONS (such that f(c) = fave) A. 3x2+2x - 4, [-2, 4]  B. 5cos(x)…

A: As per our guidelines we are supposed to answer 3 sub-parts , kindly repost the remaining part as…

Q: Find all the complex fourth roots in rectangular form of w = 100 cos 57 - + i sin Zo (Type your…

A:

Q: Given f(a) = 1- 홀 (3 + 4a) + 용(3+ 4z)2 - 꿈 (3+ 42)3 then f'(x) = 27 (3 + 4x) 8. 흥(3+ 4z) + (3+ 4z)2…

A: topic - derivative of a function

Q: Consider the function Z = 2x²(1 – e-) where x and y are given to be 5 and In 5 respectively. Find…

A:

Q: Differentiate. f(x) = e 13x f'(x) = |

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: (x^3)dx+(y^3)dy=0

A:

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

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A:

Q: Use the graph below to find exact values of the indicated derivatives, or state that they do not…

A: Topic:- function and application of derivatives

Q: A rectangular lot having an area of 5000 sq meters is to be fenced on three sides Find the minimum…

A:

Q: 23. Exterior angles on the same side of the transversal form a lincar pair. 24. Vertical angles are…

A: 23. True True  here G+D=180  and A+F=180  24. False   vertical angles are just equal to each other ,…

Q: 8 Consider the function f(x) - 7. Let F(a) be the antiderivative of f(x) with F(1) = 0. Then F(r)

A: Find the integration and the put x= 1

Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

A:

Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y?, (7, 3, 40)…

A:

Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

A: topic - application of derivatives

Q: Which of the following represents the recursive formula for the Arithmetic Sequence? -35, -32, -29,…

A:

Q: 4. (Straightforward) Determine if each of these differential equations is exact, and if so, solve…

A:

Q: Consider the following. u = (1, 2, -3), v= (5, -1, 0) (a) Find the projection of u onto v. (n. 264)…

A: Find your answer below

Q: At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 18 knots and ship…

A:

Q: Substitution Method dy xy = 0 (7) (x² – y²) (8) 2xy = x² + 2y² - - dx dx (9) (1 1 3r sin v)dr r2 cos…

A:

Q: The integral of the given function fan* tan3x dx is Vsecx tan5x tan?x а. 5 + C 3secx tan5x b. tan³x…

A: Given query is to eveluate the integral.

Q: Directions: In implicit differentiation, we differentiate each side of an equation with wo variables…

A:

Q: Suppose that fand g are continuous and that f (x) dr = - 2 and g (x) dr=8 Find | [5f (x) +8 (x) ]dr…

A:

Q: Find the gradient of the function at the given point. In(x2 - у) - 3, (2, э) Vz(2, 3) = %3D

A:

Q: Find the intervals of concavity and point(s) of inflection of the function on the given interval. f…

A:

Q: Answer the following True or False, sin dt 圭 dt 0. 1 t? t cos O True O False

A:

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

A:

Q: 3- Evaluate the integrals: Lia - 1. x(x - 3) dx 2. 2x + 3) dx 3. 3. 4. 299 dx

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: a) Find the degree 3 Taylor polynomial T3 (2) for the function f(x) = 4 cos(r) centered at the point…

A: The function f(x)=4cos(x) centered at the point a=π4

Q: Question Using Trigonometric Substitution, evaluate: S e4*/1+ e2xdx Your answer

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find two numbers whose difference is 40 and whose product is a minimum. (smaller number) (larger…

A:

Q: Bernoulli Equation (10) y'+3x²y = 4x²y² (11) (x²y* – 1)dx + x³y³dy = 0 (12) x2 4y + 2xy = 5y3

A: Note : As per our Guidelines , we can solve first question . Please repost remaining question.…

Q: Solve the initial value problem. dv 8 t> 1, v(2) = 0 dt

A:

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

A:

Q: dy = 8x - 7 and y(9) = 0. dx Find the function y(x) satisfying

A:

Q: 4. V40-4v-v dv

A: