DERIVATIVE PRACTICE PROBLEMS Take the derivative with respect to x for each of the following functions: 1. f(x)=18x 5. f(x)=20x 2. f(x)=-4x² 6. f(x)=-9x 3. f(x)=-x 7. f(x)=10 4. f(x)=x/2 8. f(x)=4x+2x² 9. f(x)=2-5x 10.f(x)=3x8x -1 Take the partial derivatives with respect to x and z for each of the following functions: 1. f(x, z)=2x+5z 5. f(x, z) = 2xz 9. f(x, z)=xz 2. f(x, z)=3xx²+2 6. f(x, z) = -x 10.f(x, z)=x¹² z 1/2 3. f(x, z)=5x²+z³ 4. f(x, z) = 4x¹-z 7. f(x, z) = x²z 8.)-10x-2z

Q: Simplify

A:

Q: Can you answer part c and d please

A: I have solved this qus in my notebook. so I am sharing the pictures for you

Q: :+B solle العنوان Anothe A. ∫ x2 sinxdx B.∫(x2 +1)inx dx C. fe* cosx dx [X+)) メー ۲/۱ T 江 M

A: Step 1:Step 2: Step 3: Step 4:

Q: Help me solve this assignment question s please

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: To determine whether the sequence {0,3,0,0,3,0,0,0,3,...} converges or diverges, let's analyze its…

Q: Calculus I May I please have the solutions for the following questions? Evaluate the integrals.…

A:

Q: Find the critical point(s) of y = (1 − x²) 5. — x=0, x=1 x=-1,x=0, x=1 x=1 x=-1, x=1

A: First Question-Concept to be used:Critical points of a function y=f(x)are points where the function…

Q: Course Name: Calculus and Analytical Geometry-1 Course code: MAT-132 Solution must be handwritten…

A: Step 1: identify n=6, a=x, b=y, and k= 4 Step 2: substitute to the formula Step 3: simplify the…

Q: (1)

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

Q: =) Find the value of the following 1: tan 150 2: cos Let |A|18 unit with angl 0 = 150 Write as…

A: Let's solve the problems shown in the image one by one:  1a: tan⁡150∘tan⁡150∘ = tan⁡(180∘−30∘)Since…

Q: How can y = sinh(x) in the vicinity of x = 0 (with appropriate labels) be sketched?  Is the method…

A: Step 1:Sketching y = sinh(x) near x = 0 Understanding sinh(x): The hyperbolic sine function,…

Q: : +♡ العنوان olle Anotsma A) find 2rty+ siny = 2r² B) use the chain rule y = 2u2-3u+4 U =2x-2 to…

A: Given the equation 2rty + sin(y) = 2r^2, we can't solve it directly for y because it's a nonlinear…

Q: (a) For what values of k does the function y = cos(kt) satisfy the differential equation 25y" = -9y?…

A:

Q: Provide detailed steps and explanation in legible format.

A: Step 1:Given: Angle of inclination θ=27o           Mass of the truck m=2500lb Step 2:The forces…

Q: 2. Use Green's Theorem to find the flux of F(x, y) = (-y², xy) across the square with vertices…

A: Green's Theorem:The circulation of vector field F=<M,N>in a closed path and the flux of the…

Q: Find the value of k so that the following curves y=(x^4)/k and y=-3x^3-2x^2 intersect at more than…

A: To find the value of k such that the curves y=kx4​ and y=−3x3−2x2 intersect at more than two points,…

Q: Evaluate the limit: lim In 2x In 3x x x О 32 ○ 1 The limit does not exist 23 #33

A: ###(1)To evaluate the limitlimx→∞​ln3xln2x​,we begin by breaking down the logarithms using…

Q: We seek to maximize the volume of a cylinder, V = πr²h, but its radius and height sum to one, i.e. r…

A: Question 1: Volume of a Cylinder in Terms of r Given:The volume of a cylinder: V=πr2hThe constraint:…

Q: Cal 3 HW 11.4 Q7

A: Step 1: Given three vectors are: u=⟨5,5,5⟩, v=⟨5,1,0⟩, w=⟨0,0,6⟩we have to find u⋅(v×w).i.e., first…

Q: Example 7: Find lim sin(a+h)-sin in a h→0 h Solution // lim h→0 sin(a) cos(h) + cos(a) sin(h) –…

A: Step 1:Method1 Method2  Step 2: Step 3: Step 4:

Q: Use a change of variables or the table to evaluate the following definite integral. -2 √ x² ex³ +2…

A: Step 1: Step 2: Step 3: Step 4:

Q: Question 9 (4 points) У х 1 2 3 Use three right-hand rectangles imposed on the graph of y = x2 + 1…

A: Step 1:Step 2: Step 3: Step 4:

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

A:

Q: (0) [² f(x) dr= dx 3 (b) (c) h° f (x) dx = 6° Number 8 f(x) dx: Number y 2 6 0 2 4 -2- -6- 6X 00 8…

A: Step 1: Step 2: Step 3: Step 4:

Q: In computer graphics and robotics, we can define (2D) scaling, rotations, and translations in…

A:

Q: Solve (a) only

A:

Q: Determine the kernel of this transformation using the attached photo below please

A:

Q: find the nth Maclaurin polynomial for the function

A:

Q: I wrote what I don’t understand in red Please have the explanation focused on that Thank you

A: Ans page 1:Ans page 2:Ans page 3:

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: My last digit of student number is 4.

A: Step 1:Step 2:Step 3:Step 4:Step 5:Step 6:Step 7:Step 8:Step 9:Step 10:

Q: 00:57 VIIIGIAU Ivaylo Using the Chain Rule or otherwise find Əz ди = and Əz მა || where z = 3 ⋅ y² +…

A: Given the equations,z=3y2+2xyx=3u+2vy=3vu Let us solve for the following partial derivatives by…

Q: Find solutions to the following initial value problems. 2) y' = 64 b) y = tet AAGA PAAAAAAAAAAAAA…

A: Problem 1: y' = 6y  Step 1: Identify the Type of Equation This is a first-order linear ordinary…

Q: For the given matrix A, find the eigenvalues and eigenvectors, and the eigenbasis (if it exists –…

A: To find the eigenvalues and eigenvectors of the given matrix ( A ), we need to solve the…

Q: For the following double integral, find the average value of the function in the integrand over the…

A: To find the average value of the function 2y over the given region using the double integral, follow…

Q: 2 Consider f (x) = x² - 3x 3x on the interval [0,2]. Assume the conditions for the Mean Value…

A: ANSWER 1:​​     ANSWER 2:​​

Q: Use the method of least squares to obtain a straight line which best fits these data points. a) Fill…

A: Step 1: Defining the problem.The least squares method is the process of finding a regression line…

Q: The figure shows graphs of f, f', f "', and f ""'. Identify each curve. ?v f f' f" ?v f ""' ?v a b c…

A: To identify each curve in the graph as f , f' , f'' , and f''' , we need to analyze the behavior of…

Q: Q3 (4 pts): Determine whether the Mean Value Theorem applies on the given interval. If so, find the…

A: Step 1:  Step 2:Step 3:  Step 4:

Q: Solve (a)

A: You have only asked to solve part (a), In order to find the required values we put the different…

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: Find E(x) and Var(x) of X, where X is the discrete random variable whose probability table is given…

A:

Q: i would apprativce it if you could exlpain

A: Given complex numbers are z=2+3iw=5−i So,  (a)  2z+w=2(2+3i)+(5−i)2z+w=(4+6i)+(5−i) Now, combining…

Q: You must show all necessary work as neatly and clearly as possible and clearly indicate your final…

A: Step 1: Step 2: Step 3: Step 4:

Q: need help with this. I would apprecaite if you explain as well. Thank you

A: Here is the solution: I hope you have a great day! Keep on learning. Thank you, and God bless!

Q: Use the Law of Cosines to solve the triangle. (Let a = 11.6 ft and c = 12.9 ft. Round your answer…

A: Determine the givenB = 50.5°a = 11.6c = 12.9Using Law of Cosinesa² = b² + c² - 2bc cos Ab² = a² - c²…

Q: A. f sin³x cos2x dx B. sin 2x cos 3x dx C. f 8 sin*x dx

A:

Q: Factor the GCF from each term in the expression. 7x(5x+1)+1(5x+1)

A: In the given expression, we can see that (5x+1) is a common factor in both terms. This is because it…

Q: Consider the function f(x,y)=10/x^2+y^2A) Sketch a contour map containing at least three level…

A: .  Show how the curve flattens                as xxx increases.

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

A: