Calculate the 3x3 determinant: 3 2 -5 -3 4 -3 -6-7 -4

Q: Calculate the partial derivative of fz (x, y, z) g (x, y, z) = sin(x² y − z) + cos(x² - yz) -

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Q: 11

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Q: Write the first-order differential equation in standard form. (Use yp for y'.) y' = x7y + sin(x)

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Q: Hello please show step by step . The calculus question is asking you to estimate the value of the…

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Q: Using the attached theorms, Solve dx/dt =2x+4y , dy/dt=-x+6y

A: Reference: Differential Equations, Linear Algebra

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

A: Given that,t=0 and t=15 are the intervals of,v(t)Area under the curve, v(t) is,Area =…

Q: Which of the following is the equation x² + y² = 4 in spherical coordinates? Or² = 4 Op² = 4 Op²…

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Q: I need

A: Step 1:Step 2:Step 3:Hope this helps!

Q: Determine whether the integral is convergent or divergent. If the integral is convergent determine…

A: Step 1:​I=∫04​(4−x)3/21​dxI=t→4−lim​∫0t​(4−x)3/2dx​​Step 2:​I=t→4−lim​∫0t​(4−x)−3/2dxUsing the Power…

Q: Calculate the differential df of the function f = tan(x). Use it to find an approximation for the…

A: Find the derivative of f(x):  Compute f′(x), which is the derivative of tan(x), giving sec2(x).…

Q: Please answer parts a and b

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Q: 40. Find the area enclosed by the ellipse x2 4 y2 + = 9 1.

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Q: Fast please.

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Q: Find the parametric equations for the tangent line to the curve defined by r (t) = at the point (1,…

A: Step 1: Step 2: Step 3: Step 4:

Q: 1. A Challenge on Implicit Differentiation dy Assuming that y is function of x, calculate for the…

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Q: If f(x) = (x+4)sin(√x+4), what is the average off on the closed interval [0, 5]? Round to 3 decimal…

A: Approach to solving the question: Detailed explanation:Key references:

Q: 1. (a) Differentiate and substitute to show that y = x - x-1 is a solution to the differential…

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Q: (a) Consider the graph of a function y = f (x) that passes through the points listed in this table:…

A: Step 1: Write the formula for the trapezoidal rule If we want to estimate the area under the curve…

Q: 4

A: Step 1: Provide the given graph of the derivative:  Step 2: Recall the concept of critical numbers…

Q: Of all rectangles of area 441, which one has the minimum perimeter? The rectangle that has the…

A: To find the rectangle with the minimum perimeter among all rectangles with an area of 441, we first…

Q: Evaluate the line integral f(x2+2y2)ds for C: the line segment from (1,2) to (4,6)

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

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Q: The following system is reduced to the given matrix below using the Gauss-Jordan elimination method:…

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Q: 2.1

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Q: Write the appropriate rotation formulas so that, in a rotated system the equation has no x'y'-term x…

A: The objective of the question is to find the rotation formulas for the given equation x^2 + 4xy -…

Q: To test this series for convergence ∞ 2n +4 4n n=1 You could use the Limit Comparison Test,…

A: Step 1: Step 2: Step 3: Step 4:

Q: Practice

A: Thanks for your patience!Kindly comment if any clarifications required.

Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. lim X-∞ 1+…

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Q: Suppose R is the solid bounded by the plane z = 5x, the surface z = x², and the planes y = 0 and y =…

A: To rewrite the iterated integral in the form dzdydx

Q: Find the breadth of a rectangle whose perimeter is 50cm² and length is 20cm

A: Step 1: Step 2: Step 3: Step 4:

Q: Question 4 The traffic flow rate past a certain point on a highway is q(t) = 3000+ 2000 - 300t² (t…

A: Step 1:In this case, we want to find the number of cars between t = 0 (8 AM) and t = 2 (10 AM), so…

Q: A stone is thrown straight up from the edge of a roof, 925 feet above the ground, at a speed of 12…

A: Step 1:Step 2: Step 3: Step 4:

Q: Question 6 Evaluate the following Integrals. (a) |√1-de dr 422 (b) 25 √1+x² dx (c) s sin (1/x) -da…

A: Step 1: Step 2: Step 3: Step 4:

Q: I need help on question 5.

A: The objective of this question is to analyze the given parametric equations, find the derivative…

Q: In Exercises 1-8, write the equation of the plane with normal vector n passing through the given…

A: Step 1:​Plane having the normal vector: n=⟨−1,2,1⟩Plane is passing through the point: a=⟨3,1,9⟩​Step…

Q: Please help me with this question. I am having trouble understanding what to do. Please show all…

A: The objective of the first part of the question is to prove that the sum of two functions, f1 and…

Q: Let f (x) = csc x cot x. Compute the area A of the region between the graph of f and the x axis on…

A: The given function is:f(x)=csc(x)cot(x) Now the region is: Now the area of the required region is…

Q: Write the first-order differential equation in standard form. (Use yp for  dy/dt.) dy dt…

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Q: ok i need you to create me a full explanation/analysis on this question, I already have the answers…

A: Step 1: Step 2:  Step 3: Step 4:

Q: Find two positive numbers such that the sum of twice the first number and three times the second…

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Q: c. - f'(1) = (3e³ – 2p¹³) In (5p¯² — *√p) -

A: To differentiate the given expression f′(1)=3e3−2p−1/3ln(5p−2−p−1/4), we'll need to apply the chain…

Q: 3. Find the length of the axes of the ellipse defined by the equation (x-3)² (y+2)² + 9 nearest…

A: The objective of the question is to find the lengths of the axes of the ellipse defined by the given…

Q: Practice

A: Given values:Forces:F1 = 19 NF2 = 32 N Angle between them:θ = 118o Introduction:We know, resultant…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: 1. Area is found by the formula A=∫ba​ydx and mass per unit length is density multiplied by the area…

Q: Calculate the integral and write your answer in simplest form. 6 dx

A: To simplify the problem we can rewrite the given integral ∫4x3​6​dx as ∫x43​6​dx. Then apply the…

Q: Using the attached theorms, Solve the following parts: a) dx/dt =7x-y , dy/dt=5x+3y  b)dx/dt =-x+3y…

A: (a) Given system of linear ODE's is in the following :dtdx​=7x−y,dtdy​=5x+3yStep 1: in matrix form…

Q: Let f (x) = 5 x² Compute the area A of the region between the graph of f and the x axis on the…

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Q: 4. Match each of the slope fields below (SF1-SF4) with a differential equation (A-D). Try to do this…

A: A. For dxdy​+p(x)y=f(x), the solution isy=e−∫p(x) dx(e∫p(x) dxf(x)…

Q: FIND M'(3) = Page 2 of 4 -1 6 2 g(x) • F(x) LET M (x) = F (g(x)) AND V(x) = 9 (f(x)) 6 FIND V'(3) =

A: Step 1: Step 2: Step 3: Step 4:

Q: Π . For 0 < x <- , if y = (sin x)*, then find 2 dy dx

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