Find the directional derivative of the function at the given point in the direction of the vector v. g(u, v) = u²ev, (3, 0), v = 3i + 4j Dvg(3, 0) =

Q: Find the first partial derivatives of f(x, y, z) = z arctan (1) at the point (1, 1, -5). af A. of…

A: A)25​B)−25​ C)4π​Explanation:

Q: dy Use implicit differentiation to find without first solving for y. dx x2 4 dy da + = 25 y² = 1

A:

Q: No hand written responses. I need help with a step-by-step breakdown in laymen terms for each part…

A: A. C.B. D.C. -60D. C. Explanation:Approach to solving the question and detailed explanation: (A)…

Q: Calculus I May I please have the solutions for the following? Thank you

A: Answers are given belowExplanation:Step 1:Step 2:Step 3: Step 4:

Q: 20. Given a = [3, −5, 1], b = [−2, 4, −1] and d = [7,3,-2], find a) b.z b) ax c c) 0, the angle…

A:

Q: a. · b = . ) Find a ⋅ b if |a| = 2, |b| = 2, and the angle between a and b is - radians.

A: a⋅b≈3.76Explanation:The dot product of A and B is,a⋅b=∣a∣∣b∣cosθ Given the…

Q: By setting one variable constant, find a plane that intersects the graph of z = 2y2 - 6x² + 1 in a:…

A:

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: To find the volume of the solid that results when the shaded region is revolved about the indicated…

Q: graph  linear inequality t >0

A: The objective of the question is to graph the linear inequality t > 0. This inequality represents…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: 5)Option A is correct answer  6) Option D is correct answer Explanation:

Q: Gamers Empire is considering marketing one of two new video games for the coming holiday season:…

A: a) Constructing a decision tree:                              Decision                             /…

Q: Find the fourth degree Taylor polynomial, P4(x), for f(x) = ln(x + 1) centered at x = ( = 0.

A: f(x)=ln⁡(x+1) centered at x=0.Taylor series centered at x=a is given as f(x)=∑k=0∞f(k)(a)k!(x−a)k

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS. THIS IS TRUE OR FALSE

A: 11. TRUE 12. TRUEExplanation:Approach to solving the question: Detailed explanation:

Q: how did you pring the 2^2n out?

A:

Q: What is the slope of the normal to y= x-2 * at (2, 0)? x+2

A: Given a rational function.y=x−2x+2To find: slope of the normal to y=x−2x+2 at (2,0)

Q: 3. (7 pts) Sketch the region bounded by the curves. Find the exact coordinates of the centroid. Show…

A: The objective of this question is to find the exact coordinates of the centroid of the region…

Q: What are the Test Statistic and P-Value?

A: a. The null and alternative hypotheses are, H0: μD​ ≥ 0 Ha: μD​ < 0 where D = AFTER - BEFORE b.…

Q: Suppose you need to know an equation of the tangent plane at a surface S at the point P(3, 1, 4).…

A: Answer is given below:  Explanation:Question 1:Answer:   Now 50 %D -S> Univen It) - 24+ 21 , 1 -…

Q: 3. Find the limit, if it exists lim x→0 ex - 1 sin(x)³

A: Need to find out the limit, it it exists.

Q: 2. Here, ƒ is the function given by f(x) = Find the limit, if it exists lim x→2 = arcsin (#) f(x) −…

A: The given function is To find

Q: -Given two parallel planes, calculate the distance between them ₁ =5x+2y-12-2 2=15x+6y-3z+5 x = 0 Y…

A: (.) Given parallel planes are,       (.) Distance between two parallel planes  and  is..

Q: 17. Find the intercepts of the plane 2x + 6y − 3z - 12 = 0. -

A: Intercepts are : 6, 2, -4Explanation:

Q: Below is the entire graph of function f. Graph f, the inverse of f.

A:

Q: Consider the following. f(x, y, z) = x²yz - xyz, P(6, -1, 1), u = (0, (a) Find the gradient of f.…

A: Consider the following.a) Find the gradient of f.b) Evaluate the gradient at the point P.c) Find the…

Q: https://mylab.pearson.com/Student/PlayerHomework.aspx/homew 118flushed=true&c Find the linearization…

A:

Q: = Water is flooding into a basement at a rate of f(t) = -2√√t + 5. Water is being pumped out at a…

A: a) 6.2288 ft3        b) -0.989 ft3/hr         c)  Volume max. @ t=1.457 hrs,    Total amount of…

Q: Please review and solve problem 1 part 'a' and 'b' and explain how the answer was found. Problem…

A: All solutions to the given question are explained in the explanation section.Explanation:Solution 1…

Q: ☐ Let 60, 61. Which of the following must be true if y = log(x)? Check all that apply. ☐ y = b² 1 y…

A: Option C is correct Option D is correct Explanation:

Q: Find the equation of the function below. Y 5 3 2 10 TT/2 Π 3п/2 2TT 5TT/2 3TT 71/2 4TT 911/2 5TT -2…

A: Here given that a graph and we find the equation of the function by using  this graph.

Q: 1an with a₁ = 2, an+1 = an with a₁ = 3, an+1= 1+sin(n) n 3n-1 2n+5 an an v. vi. n=1

A: (v) Given that the series is                  Thus, the series is convergent by the ratio test.

Q: I need help with each section of this problem.

A: A) Option A is correct answer  B)i)7ii)7 C) Option B is correct answerN(t7)= 9Explanation:

Q: Find the derivatives of R(v)=(14v²-3v) 2 H (w) = (6-Sw) Find dy/dx and dx/dy from 6x2-x3y²+4x=0

A:

Q: For each function graphed below, state whether it is one-to-one. Graph 1 Graph 2 Graph 3 One-to-one?…

A: To find whether the given graph is one to one ?

Q: 4. Find the inverse of the function, s(t) = √3 - t² - 6

A: To find the inverse of a function y=f(x) , use the following steps .Let y= f(x)Swap the variables x…

Q: Use implicit differentiation to find Əz/ǝx and Əz/ǝy. x8+ y + z³ = 8xyz дх 88 || მ მყ ||

A: The required answer is given below.Explanation:

Q: (8 points) Suppose the terrain of a hillside is represented as the graph z = f(x). Suppose f(a) = c…

A: I have given detailed solution below thanksExplanation:Step 1: Step 2: Step 3: Step 4:

Q: please give the proper answer at the end for each other, because i uploaded the question last time ,…

A: (a) (2−3π​, 2−π​)(b) (−π, 1)(c) (0.57, 0.079)(d) (−6.18, −π)∪(0, 0.57)Explanation:Let us make a…

Q: Two helicopters leave a heliport at the same time. The first flies 190⁢km/h in a direction of 290…

A: The distance between the two helicopters after three hours is 369 kilometersExplanation:Step 1:…

Q: Question 5 Let f(x)=√√4x+1. (a) Find the equation of the tangent and normal line to the graph of ƒ…

A:

Q: Hello  Could you help with this problem:  Let S be the surface given by the equation y (see picture)…

A: (x,y,z)=(cosz,sinz,z),−2π​<z<2π​Explanation:Step…

Q: Solve sin(x) = 0.64 on 0 < x < 2π There are two solutions, A and B, with A < B A = 0.6945 B = Enter…

A:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Solution is attachedExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Compute the characteristic polynomial det (xI - A) of A. Show that landa = 5 is an eigenvalue of A.

A: 1)The characteristics polynomial  is x3−3x2−9x−52) λ=5is an eigen value of matrix AExplanation:

Q: Calculate all four second-order partial derivatives and check that fxy = fyx. Assume the variables…

A: Answers:  ∙fxx​=25y2e5xy∙fyy​=25x2e5xy∙fxy​=5e5xy(1+5xy)∙fyx​=5e5xy(1+5xy)Explanation:Step 1:

Q: Let f : R → R be a function defined as f(x) = ⌊x⌋, where ⌊x⌋ denotes the greatest integer less than…

A: Greatest Integer function: The greatest integer function is a function that results in the integer…

Q: Check all of correct statements about differentiable functions. The derivative of the product of two…

A: We have to find the derivative of algebraic operations on two differentiable functions. Let f(x) and…

Q: Find the volume of revolution by rotating the region bounded by y=4^x, y=0,x=0,x=2 about the line…

A: Region is bounded by y=4x,y=0,x=0,x=2Rotating the region about y=−1Using the washer method

Q: Fill in the blanks and evaluate the following indefinite integral. 2x dx = (x+4)2 -S dx = (x+4)2 x+4…

A:

Q: Find volume by revolving the region bounded by y=sin(x) and y=0 between x=0 , x=pi about the y axis…

A: To find volume by revolving the region bounded by between  about the y-axis by using shell method.

Q: Compound Interest Match each formula for A with the correct name. Match each variable with its…

A: Compound interest formula: A = P(1+rt)Variable description:A: Final amountP: Principal amount…