a. If z=sin(5x + 3y) Find az dz and 一 dx ду b. Ifz (3x+2y)(4x-5y) Find 8z and дх C. A cylinder has dime 419 θα

Q: 3 Approximate 10 using the linearization, L, for f (x) = ✓✓✓ centered at C = 8, given below. L(x) =…

A:

Q: For the given matrix A and basis vectors, determine the matrix B for the transformation Ax relative…

A: Solution:

Q: O 0 208 3 Find the directional derivative of f(xy.z)=xyz at (214) through the direction of (1,2,2)…

A: First, we define the function f(x,y,z)=xyz and the point (2,1,4).

Q: Simplify

A:

Q: f(x)=3x² 2 0 ≤ x ≤ 1 a) Verify that (x) is a probability density function b) Find the CDF F(x) c)…

A:

Q: 8

A: The equation of the line given is in the form x-2y-1=0, which can be rewritten in the…

Q: Can you evaluate and explain the steps of the following equation

A: ANSWER ​​

Q: Because of prevailing winds, a tree grew so that it was leaning 9° from the vertical. At a point d =…

A: The problem involves a tree that is leaning 9 degrees from the vertical. We are given the distance…

Q: Solve this differential equations related problem

A: ### Part (a): Deriving the Formula for dx2d2y​Given that  f(x, y) = 0  implicitly defines  y  as a…

Q: (1)

A: given, r=secθcscθNow lets diffierntiate the given r with respect to θ. so, dθd​(sec(θ)csc(θ)) This…

Q: Determine the measure of angle A in triangle ABC, where vector A(1, 1, 8), vector B(4, −3, −4), and…

A:

Q: 1½-sin² x 2 x. Find the second derivative of y = ½ sin Oy" = COS x Oy" y" = cos² x - sin² x о 2 y" =…

A:

Q: ۲/۱ العنوان не 2. Solve the following partial differential equation: ac/dt = Da²c/ax² Transcribed…

A: The given equation is a partial differential equation (PDE) of the form:a∗dcdt=D∗a2∗d2cdx2where 'a'…

Q: Write the differential for y = (3x − 1)³. 2 dy = 9(x − 1)² dx - - О dy = 9(3x − 1)² dx - О dy = (9x…

A: 1. Given,  y = (3x - 1)3 Diffentiating w.r.t x dxd​((3x−1)3) Apply/the/chain/rule:…

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

A: 17) The velocity function is 3t^2 -12, and the acceleration function is 6t.18) The point on the…

Q: 5 -10-8 -6 14 -2 2 4 6 8 10 3 4 5 6 7 1

A: Step 1:To find  limx→−2−​f(x)The expression refers to the left-hand limit of f(x) at -2. Meaning we…

Q: QUESTION 9 [10 marks] A pentagon having vertices (0; 1), (2; 2), (4; 0), (2; -2) and (0-1) is…

A:

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

A:

Q: Evaluate the given integral by making an appropriate change of variables. SL 7 x4y 7x-y R dA, where…

A: Step 1: Step 2:

Q: Evaluate the following limits when they exists: x+x3x²+1 (a) (5 points) lim→>-1 x+1

A: To evaluate the limit limx→−1​x+1x4+x3−x2+1​, we first check if direct substitution leads to an…

Q: 14

A: First, we need to identify the type of limit we are dealing with. In this case, we are dealing with…

Q: i need someone to help me. when i graph and draw discs, they only touch the absolute value of x. how…

A: In this problem, we can use the washer method.V=π∫ab​[R(x)2−r(x)2]dx First, we need to graph the…

Q: K Use technology and the following matrices to find the matrix products and answers for parts a…

A:

Q: Hello please help me answer this integral calculus question. Use the graph to answer each section of…

A: Step 1: Step 2: Step 3: Step 4:

Q: Evaluate the integral. 1 (u + 3)(u – 4) du - 0

A:

Q: Let f(x,y) = 3x + 3xy, find f(0, - 3), f( − 3,2), and f(3,2). f(0, -3)= (Simplify your answer.)

A: f(0,−3)=1

Q: How can y = e-x for x >= 0 (and only for x >= 0) be sketched?

A:

Q: Find fx and fy for f(x,y) = y In (x + 8y). II

A: Step 1:​f(x,y)=yln(x+8y)​Step…

Q: Solve using Lagrange Multipliers. Then In that same spirit, calculate the exact shortest distance…

A:

Q: A. find dy/de if 0+5 y = 8 cos 0 y = ln B. find dy/dx if C. Using the rules of logarithms, rewrite…

A: Step 1:Let z(x)=f(g(x)). Then the chain rule states: z′(x)=f′(g(x)).g′(x) (A.) It is provided…

Q: Solve (b)

A:

Q: (4)

A: Solution-

Q: the answer I have is probably wrong. write it in a similar format though.

A: The given curves are y = e^x and y = 5 - e^x. The limits of integration are x = -1 and x = 2. The…

Q: Cal 3 Q14

A:

Q: Evaluate the integral (4√x + √√x)dx. О 8 x 3/2+5/4+C ုဖိ/2 ○ 1/2 ³/2 + 1/2 ²/3 + C 003 23 1/05 ☐ No…

A:

Q: Question 6 please

A: Step 1: Step 2: Step 3: Step 4:

Q: ☐ ☐ 16. For the differential equation 33 dy dx = = 2(1+ y²) (sin 2x), find a specific solution that…

A: Yes, the solution presented is correct and follows the proper steps for solving the given…

Q: 3. Compute the line integral of f(x, y, z) = x² - 4y + z³ along the path C = (2t,t +2, t²), 0 ≤ t≤…

A: To compute the line integral of the function  f(x,y,z)=x2−4y+z3  along the path  C=⟨2t,t+2,t2⟩  from…

Q: 2. For each of the following functions, give the domain and range using interval notation, showing…

A: Step 1:Let's solve each part one  by one:(a) The given function is:f(x)=16−x2​x−2​We know that; the…

Q: Write the inequality in interval notation and graph. X≥ -1 The interval is Choose the correct graph…

A: To express the inequality x≥−1 in interval notation and graph it, follow these steps: Inequality:…

Q: 9 Supose S₁₁ h ( x ) d x = S₁ f ( x ) dx = −1. f f (x)dx dx = 5, an = 4. Evaluate the following…

A:

Q: 1-4√65%+24

A: Step 1:Step 2: Step 3:if have any related queries and questions ,feel free to ask!But please provide…

Q: (1)

A: If you have any questions let me know in comment box thankyou.

Q: 2. Use the product rule (and maybe the chain rule) to find the derivatives of the following…

A: Solution of the given question is like as

Q: Help by write cartesian transformation in homogeneous coordinates that scales the object by two in…

A:

Q: Please answer questions 1-9.  This is not graded just a review.

A: Step 1:Step 2:Step 3:Step 4: step 5

Q: ey f(x, y, z) = 2x / -42³e" + In (x³-2). Let f (x Find fx, fy and fz.

A: Step 1: Find fx (Partial derivative with respect to x)To find fx​, we differentiate f with respect…

Q: From a calculus perspective, a monotone function is a function whose derivative never changes sign.…

A:

Q: b Find 60 such that - So (x − 1)dx = b == = 0.

A:

Q: Which of the following five areas are equal? Provide all work to validate your answer. 1. The area…

A: Step 1:Step 2: Step 3:  Step 4: