Find the divergence of the field. 2xyzk F = 5ye 2xyzi + 5z e 2xyzj+5x e² div F =

Q: T - Compute u v if u and v are unit vectors and the angle between them is 73 2 u*V= (Type an exact…

A: In this question, we want to find the dot product of the given vectors u and v.

Q: Define the points Q(3,2) and R(8,- 10). Carry out the following calculation. Find the unit vector…

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Q: Evaluate the limit using the Basic Limit Laws and the limits limx→explq = cq and limx→ck = k. (Use…

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Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

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Q: Solve the differential equation. y' - y = 3ex

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Q: Evaluate the integral. Select the correct answer. none of these 2xcos(2x) 4x²-2 4 8 2xcos(2x) 2 +…

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Q: h(x, y) = x²7xy - y² relative minimum relative maximum saddle point (x, y, z) = (x, y, z) = (x, y,…

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Q: 7. f sin4xdx

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Q: Find a basis for the row space and the rank of the matrix. -2 -4 4 4 3 6-6-9 -2 -4 4 5 (a) a basis…

A: Use the fact rank(A)= dim rowspace(A)

Q: 6. f cos(3x + 4)dx

A: We have to solve the given integration

Q: A model rocket is launched vertically upward from the ground with an initial velocity of 14 ft/s.…

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Q: A rock is thrown vertically upward with a velocity of 256 ft/s, so its position function can be…

A: A rock is thrown vertically upward with a velocity of 256 ft/s, Its position function can be modeled…

Q: y=1/(AX+B) Make a differential equation

A: Given :y=1Ax+B

Q: How did he get the value (jw) ² x 10) = Uw)² x1w) = w2x/m) 1 inside the circle wa) A е (b-a) [ (@jwb…

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Q: -1 Find the derivative of the function: y=6 sin ¹¹ (x²). y'= y'= O y'= 12x y'= -X 2x 2 + X 12x 4 4 X…

A: Given y =6 sin-1 (x2 )

Q: 10 3x Find the derivative of f(x) = x¹0e³ª. f'(x)= =

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Q: Y=1/5x^3-square root of x^2+1.Find the graph, the concavité upward and downward, point of…

A: The given function is f(x)=15x3-x2+1 To graph the function and find the interval where the function…

Q: 1 For what values of x is f(x) = concave downward? A B C D f(x) is never concave downward on its…

A: The given function is: fx=1x4  For what values of x, f(x) has concave downward.

Q: Write the trigonometric expression as an algebraic expression. cos(arccos 5x − arctan x)

A: Topic:- trigonometry

Q: The auxiliary equit of the given diff- is m² + 6m +8 = 0 2 2 m² tym+ 2m +8=0 m (m+4) +2(m+y) = 0 (m…

A: Here I will show you two different method to solve the value of   m

Q: Determine the domain of the function of two variables. 7 4y - 2x² g(x,y)= {(x,y) | y*}

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Q: saddle point is wrong, please correct

A: The given two variable function gx,y=x2-y2-3x-4y

Q: Find the solution of the given initial value problem: y(4) + 2y” + y = 11t + 6; y(0) = y′(0) = 0,…

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Q: Question 9 Find the derivative of y=e^ cos2x, and use it to find the equation of the line tangent to…

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Q: 15. Find the volume of the solid generated by revolving y-axis, the area enclosed by the parabole y²…

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Q: (8) A ITI system is described by the D.E. y +6 Y+8y=2XL) find h(t) then find y(t) if X(t) = té²t…

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Q: O F5 F1 O F4 F-1- F3 F2 Some antiderivatives of a certain function are graphed here. Although there…

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Q: etermine the rule on the flow diagram 56 7 9 11 72 88

A: Concept: Flow diagram: An action sequence, system movements, and/or decision points are visualized…

Q: Find the minimum distance from the point (0,0,0) to the plane 9x+4y+z=5.

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Q: T ecosx sin2x dx = A. 0 B. e-¹ C. 4e-1 .e-¹-1 E. 2e-1 F. None of these.

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Q: A definite integral property says f₁² ƒ' (x) dx + f² ƒ' (x) dx = S² ƒ' (x) dx. What is ff'(x) dx? O…

A: Given graph of f'(x)

Q: Identify any extrema of the function by recognizing its given form or its form after completing the…

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Q: Compute (-3,-5, -1) (3,1,-4). (-3,-5, -1) (3,1,-4)= (Simplify your answer.) |

A: (-3,-5,-1)*(3,1,-4) here dot product is given  and we have to multiply this vector  formula use:…

Q: 3. The value of A. B. C. D. [xsản xdx (1 - x²) 3/2 + C -sin-¹ x - √1 − x² + ² - (1-x²) ³/² + C sin-¹…

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Q: Identify any extrema of the function by recognizing its given form or its form after completing the…

A: Given question:- Identify the extrema of function by recognizing its given form or its form after…

Q: Given H(jw) -(4+jw) 6+5jw-w² an rewrite as:- (jw+4) -+₁) 6+ (jw)² + 5jw (jw+ 4) (jw+3) (jw+2) (jw+3)…

A: Topic:- application of calculus

Q: INFORMATION NEEDED TO ANSWER THE QUESTION IS BELOW, AND THE QUESTION IS AT THE END. THANK YOU! Gas =…

A: We Will Get Equilibrium Point When Quantity Demanded Is Equals To Quantity Supplied. Mid Point Of…

Q: For every 2 x 2 matrix A, we have det (A)² = (det (A))². O True O False

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Q: 1. f 2²x²+1 dx

A: In this question, we want to evaluate the given integral.

Q: 1. y" - 2y' - 3y = 5e¹, y(0) = 1, y'(0) = 0 2. y" + 2y + 5y = 3 sin(2x) 3. y" - 4y + 4y = -7x+4x²,…

A: Since you have posted multiple questions. As per guidelines we"ll solve only  first question. If you…

Q: Use the given transformation to evaluate the integral. 11² 9x² da, where R is the region bounded by…

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Q: (jw+4) (jw+3) (jw+2) B + (jw+3) (jw+2) A(jw+2)+B(jw+3) (jw+3) (jw+2) Ajw+2A+Bjw+3B (jw+3) (jw+2)…

A: In this question, we want to know how to get the given equation 1 and equation 2 from the given…

Q: a. faxy, b. fxyx, and c. fyxx. 4 33. f(x, y) = x²y³ – e ²x

A: Solve the following

Q: Find c such that f(c) equals the average value of f(x) = 4x + 6 over [-7, -2]. Provide your answer…

A: Given: f(x)=4x+6

Q: Consider the system of linear differential equations We want to determine the stability of the…

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Q: [(8-3sin2x)+ cos2xdx

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Q: x³y''' – бу = 0.

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Q: Consider the vector function r(t) = . (a) Find the unit tangent and normal vectors of r(t).…

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Q: The loudness, L, of a sound (measured in decibels, dB) is inversely proportional to the square of…

A: Here we have to find the loudness.

Q: An appliance company can sell x refrigerators at a price of p(x) = -0.02x + 500 dollars per…

A: We need to find rate of change of profit.