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Q: b g(b) Sf(g(x)) • g'(x) dx = S Use the Substitution Formula, f(g(x)) • g'(x) dx = the following…

A: Formula to be used:The substitution formula is given by,∫ab​f(g(x)).g′(x)dx=∫g(a)g(b)​f(u)duwhere…

Q: Find the first derivative

A: We find the first derivative of the function f(x) = tan x + cot x by differentiating each term…

Q: please Help with Calculus question

A: We are given a table of values representing the rate at which a combine harvests soybeans. We need…

Q: use the attached image to graph the linear subspace defined by the kernel.

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Q: Q 9. Consider the region in the first quadrant that is enclosed by the functions y = x², y = x + 2,…

A: To find the volume of the region enclosed by the curves y=x2,y=x+2 , and  x = 0  when it is rotated…

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: Sketch the solid over which the iterated integral evaluated. LL 1 ry+3 cx+4 L. Sits for f (x, y, z)…

A: Approach to solving the question:

Q: solve the initial value problem.

A: To solve the initial value problem (y′+xk​y=0)with the initial condition ( y(1) = 3 ), we can follow…

Q: □ Consider the initial value problem y = 3 + 4 +2, y (0) -3 Fuse Fuller's methool with n = 2 to…

A: Let's solve the initial value problem using Euler's method with  n = 2  to approximate the solution…

Q: Answer question 4 first please

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Q: 2 Find the global (absolute) max/min for f(x) = x² f(x) = x² - 4x on the interval [0,3]. global max…

A: Let's solve the problem step-by-step. Finding Global Max/Min for ( f(x) = x2 - 4x ) on the interval…

Q: An object in motion accelerates according to a a (t) = 2t - 4 m/s² Let v(t) be the be the velocity…

A: Approach to solving the question:Integration of acceleration to get the velocity. Detailed…

Q: find the antiderivative F(x) of f(x) = −7+6 sin(3x). Of(x) = = ― -7x+6 cos(3x) + C ○ f(x) = −7x − 2…

A: ###(A)To find the antiderivative  F(x)  of the function  f(x) = -7 + 6 sin(3x) , we need to…

Q: im practicing for calc 2 and im a bit confused on this question its PFD

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Q: how to find distance between plane and plane, plane and line, plane and a point using corss product…

A: Finding the distance between planes, a plane and a line, or a plane and a point often involves…

Q: Verify that the function is a solution of the initial value problem.

A: Step 1:  Step 2: Step 3: Step 4:

Q: 2. Determine the coordinates of the three i. The line tangent to the curve y = ii. The line normal…

A: Step 1)Let consider B be the point whose x-coordinate is a. we have drawn tangent and normal at B…

Q: Can you explain how to solve step by step

A: Given lines:y=21​xy=6−xFirstly, we find the popint of intersection of the two lines.Using…

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: need help

A: If you have any help please let me know in comment box and then I will help you

Q: Q: + Greven pox) = 3x-4, please do the Following: a) Verify that p(w) is a density Function on…

A: Step 1:Given data :p(x)=3x−4a) Verify that p(x) is a pdf on [1,∞)A function p(x) is a valid…

Q: s(t)=-4.9t2 + 32t+ 21 at t = 3 Time Interval Average Velocity [3,4] [3,3.1] [3,3.01] -2.3 0.211 2.6…

A: Given position function with respect to times(t)=−4.9t2+32t+21The average velocity for a time…

Q: i would apprativce it if you could exlpain

A: Let's go through each region step by step, explaining what each represents and how the plots…

Q: need help

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

Q: : +♡ العنوان solle Anotsmi A: Find the range and domain of of focos2 2x-3 C: If B: Find a formula…

A: Step 1:Step 2:Step 3:Step 4:

Q: 3. Solve a. dy 818 dx = 1+y 2+x b. al dy x²+ y² dx xy

A: a. dxdy​=2+x1+y​  Separate the variables:    1+ydy​=2+xdx​  Integrate both sides:…

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: Solve the following: a. If z = sin(5x + 3y) Find and dx dz ду b. If z=(3x+2y) (4x-5y) Find Oz dz and…

A: a. Given z=sin(5x+3y), find ∂x∂z​ and ∂y∂z​. Solution: z=sin(5x+3y) 1. Find ∂x∂z​:…

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: a direction field is drawn for the given equation. Sketch some integral curves.

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Q: 1. Find the inverse of the following function: f(x) = x² + 2x-4. Restrict the domain of f(x) such…

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Q: solve the initial value problem.

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Q: 15

A: The region extends from x = -1 to x = 1.Divide this interval into two sub-intervals, viz. [-1, 0]…

Q: 3. Use the precise (8-6) definition to show that the following property is true. If lim f(x) = L and…

A: Step 1:To prove the given property using the precise ϵ−δ definition of limits, we need to show that…

Q: A surface is defined by S-xsiny + ycosx Please find and draw the directional derivative of a contour…

A: Approach to solving the question:  Examples: Key references:

Q: Find f. f(x) = f"(x) = x3 + sinh(x), f(0) = 1, f(2) = 2.6 ×

A:

Q: Let F(x, y, z) = xi + xyj+yzk be a vector field in space. Let S be the unit sphere centered at the…

A: Here is the step-by-step explanation We will use the Divergence Theorem, to calculate the flux of…

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: Let f and g be the functions in the table below. N X f(x) g(x) f'(x) g'(x) 1 3 2 4 6 2 1 3 5 7 3 2 1…

A: (a)Consider, F(x)=f(f(x))Differentiate with respect to x. (Use chain rule of…

Q: 5. (12 points) Use the geometry or symmetry of integrals to evaluate the following definite…

A: Step 1:(a) The following formula of integration is known:∫a2−x2​dx=2x​a2−x2​+2a2​sin−1(ax​)+cwhere c…

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: ? Exercise 3.7.6 Consider the function f(x) = (x+2)2(x-2) 2(x-1)(x-3) Draw all the asymptotes and…

A: Step 1: Step 2: Step 3: Step 4:

Q: Substitute y=erx into the given differential equation to determine all values of the constant r for…

A: To solve the differential equation 3y′′+3y′−4y=0 by substituting y=erx , follow these steps:1.…

Q: f(x) = x=3 2 3 ≤ x ≤ 5 9 verify that f(x) is a probability dense function b) Find the cumulative…

A: Step 1: Solution of a. Step 2: Solution of b. Step 3: Solution of c.

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: 3. Solve a. dy 818 dx = 1+y 2+x b. al dy x²+ y² dx xy

A: Step 1: Step 2: Step 3: Step 4:

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: Consider the points on the vertices of a triangle given by A: (0,0,0), B: (1,2,3), and C: (0,3,0).…

A: (a) Use the scalar product (dot product) to find the angle at vertex A in triangle ABC.The vertices…

Q: b Let a = (-3, 0, -1) and 6 = (3, -3, -2). Find the component of b onto a.

A: To find the component of vector b onto vector a, we use the formula: Component of b onto…

Q: A) find dy 2x2y+ sin y=2x² U=2x-2 to find dx dy B) use the chain rule y = 2u2-3u+ 4 dy dx C) Find…

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