Find the derivative of the following function. -2 y = (3x+7)³

Q: Exercise 1 Given are the following planes: plane 1: 3x4y+z = 1 0 plane 2: (s, t) = ( 2 ) + ( -2 5 s+…

A: In the above diagram, the angle between the normal vectors α is what we are calculating using the…

Q: (1) (4 points) Give a parametrization c: R R³ of the line through the points P = (1,0,-1) and Q =…

A: Step 1:Step 2: Step 3: Step 4:

Q: Example: Solve y" + 2xy' + 2y = 0 around x0 = 0.

A: The general terms can also be included in the solution as shown below..…

Q: Let F = V where (x, y, z) x2 1 + sin² 2 +z2 and let A be the line integral of F along the curve x =…

A: Approach to solving the question: Given Field and Scalar Potential:F=∇φ   ,…

Q: 1. Show that the vector field F(x, y, z) = (2x sin ye³)ix² cos yj + (3xe³ +5)k satisfies the…

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Q: the correct answer is A please explain

A: Step 1: To find the center of mass of the homogeneous body Ω={(x,y,z)∈R3:x2+y2​≤z≤2−x2−y2} We will…

Q: 15. Please solve this and show each and every step please. PLEASE no chatgpt can I have a real…

A: The given function is F(r, s, t) = ln(r+t) * (r+s+t). This is a multivariable function, which means…

Q: 2sec^2x-2sec^2x•sin^2x-sin^2x-cos^2x=1

A: Step 1:It is needed to prove the following identity:2sec2x−2sec2x.sin2x−sin2x−cos2x=1 Now, the…

Q: Find particular solution to the differential equation.

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

Q: Find the one sided limit 2 lim Flx) where f(x) = (x²-4_x<l X73- 2 34-x² 1<x<3 3x-1 358

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Q: the correct answer is A could you show me how to solve this using gauss theorem of divergence

A: Step 1: Compute the Divergence of F: div F=∂x∂​(5x−3y)+∂y∂​(2x−5y)+∂z∂​(x2+y2+3z)=5−5+3=3. Apply the…

Q: Find the slope of the line secant to the curve F(x) = 13-x³ (from x=1 to x=2]

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

Q: Which of the functions shown below is differentiable at z = 2? Select the correct answer below: о…

A: The third graph (straight -line function) is differentiable at x =2    because it is a smooth…

Q: Question Find the following limit. Select the correct answer below: 1 2 0 4 5x lim sin (2x)+tan 2 x→

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

Q: Example(1): (Adiabatic humidification and cooling of air). Air has to be humidified and cooled…

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Q: The graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = -1.…

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Q: Use the method of disks to find the volume of the solid that is obtained when the region under the…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the following limit or state that it does not exist. 2 3x² +7x+2 lim X-2 6x-8 Select the…

A: Given Limit: limx→2​6x−83x2+7x+2​ Step 1: Check Continuity at x = 2 A limit exists if the function…

Q: 3. Given the function h(x)=(x²+x-12 if x≤1 3-x if x>1' a) Graph the function h(x). Make the graph…

A: Part ABased on the given equation, the graph of the function should look like this: Desmos is used…

Q: 1. Please solve this for me and show every single step. I am studying  and got stuck on this…

A: The function to be integrated is f(x)=4x+3.

Q: Q2 A/ State the main field tests which may be carried out to investigate shear strength of a soil…

A: ### A. Main Field Tests to Investigate the Shear Strength of a Soil LayerTo determine the shear…

Q: #4, #11, #25

A: 4 1125

Q: #34

A: 34. We convert y-2/3 into radical form:1. The fractional exponent can be rewritten as:…

Q: Velocity of a Ball Thrown into the Air The position function of an object moving along a straight…

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Q: Number 19. please show work

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Q: Is the function f(x) continuous at x = 1? (z) 6 5 4 3. 2 1 0 -10 -9 -7 -5 -2 -1 0 1 2 3 4 5 6 7 8 9…

A: *The function f(x) is continuous at x = 1-&gt; This is the correct answer since the function is…

Q: Show all steps. Correct answer is : 3.1415926535898

A: SOLUTION:

Q: Use the following graphs to evaluate the given one-sided limit. Answer exactly. y = f (x): y = g(x):…

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Q: 4. In Theorem 5.4 in the Lecture Notes we proved that if F: RN → Rm is differentiable at x = RN then…

A: #####(i)The proof of the continuity of  F  at  x  relies on the differentiability of  F  at  x . The…

Q: Let a = (4, -2, -7) and 6 = (2,5, 3). (ã − ò) × (ã + b) =

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Q: Can u give rough map of any room u can choose cm on top

A: Detailed explanation:I've created a rough layout for a cozy bedroom with dimensions and furniture…

Q: Help me with step by step solution and accurate answer as soon as possible pls

A: We solve this problem as follows:  Step 1: Define f(x)=3x​Since the derivative of xn is nxn-1, the…

Q: Solve the given differential equations by using the principle of superposition (D2 − 1)y = sinh x

A: Step 1:Step 2:Step 3: Step 4:

Q: 15. Find the exact value. (a) log4 16 (b) log7 1 49 (c) logs 3/25

A: Step 1:Step 2: Step 3:  if you have any related queries, feel free to ask !!! Step 4: thankyou 🙏💛

Q: Show that the function f(x, y, z) = ex²+y²+z4 defined over the domain D = {(x, y)| x² + y² + z² =…

A: Given function: f(x,y,z)=ex4+y4+z4 defined over the domain: D={(x,y,z)∣x2+y2+z2=1}, has 6 global…

Q: Question 1 Let f(x) = 15 and g(x) = +5. Find the following functions and simplify your answers.…

A: Verify: Since)log4​(x+2) is undefined for x=0 the only valid solution is x=4096Answer: x=4096

Q: MATH 122 WORKSHEET 3 February 5, 2025 . Solve the following problems on a separate sheet. Justify…

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Q: Find the ane sided limit lim 2 x+1-3x-3

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Estimate the integral of lnx dx with upper bounds of 5 and lower bounds of 1 sing the Trapezoidal…

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Q: == 1. A separable differential equation can be written in the form hy) = g(a) where h(y) is a…

A: For (a) y' = -1/3, we can rewrite it as dy/dx = -1/3. This is already in the form h(y) = g(x) where…

Q: The 60-lb collar A can slide on a frictionless vertical rod and is connected as shown to a 65-lb…

A: I hope this is helpful.

Q: Evaluate the integral by using a substitution prior to integration by parts. 7) sin (In (6x)) dx

A: Step 1: Solving Without the Factor of 7We must assess the integral:…

Q: Find the parametric equation for the line where the planes -4x+y+3x= -11 and -2x+y=3z = 7 intersect.

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

Q: could you explain this please

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Q: Question 8 Use the graph of f to evaluate the following: 6 f(x) 5 4 3 2 1 -1 1 2 3 4 5 -1 t The…

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Q: 2. Consider the vector force: F(x, y, z) = 2xye²i + (x²e² + y)j + (x²ye² — z)k. (A) [80%] Show that…

A: May this answer helpful to you.

Q: please find the general solutions to the following ODEs: 1. dy/dx + k^(2)y  where y is a function of…

A: //The answer above is the detailed solution of the given problem //Feel free to ask doubts if any…

Q: find the speed of the object when t=2. Give the answer in decimal form and round to 2 decimal…

A: The position vector function is given as &lt;3t-1,t2&gt;. This function describes the position of…

Q: Find the distance (d) from the point (8, -7, -1) to the plane 3x+5y-3z = -60.

A: Step 1: Step 2: Step 3: Step 4:

Q: 3) Prove that in extracting real mode ø, from a complex measured mode o, by maximizing the function:…

A: I hope you are finding the material engaging and informative. If you have any questions or…