= Find the angle between A (3,-2, 3) and B = (1, -3, -3).

Q: Use separation of variables to solve the differential equation explicitly for u. du dt = 4 + 4u + t…

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Q: Find the coordinates of a point on a circle with radius 25 corresponding to an angle of 135∘ (x,y)…

A: We have to find out the coordinates

Q: Find the limit. Ilm x-1x²+3

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Q: 16) .    Find the solution to the initial-value problem. y' = ey − x, y(0) = 0 y =     PLEASE SHOW…

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Q: 1. f(x)=(2x-5) ¹ (4x+3)²

A: We need to find derivative.

Q: Use the definition Prove that: d dz sin z = cos z The low f(z) = lim Δz→0 f(z+Az)-f(z) Az

A: Topic = Derivative

Q: Let R be the region bounded by y=x², x=1, and y = 0. Use the shell method to find the volume of the…

A:

Q: If an object is moving along a linear path with v(t) = 3t2 + 3t 5. At time t = 0 the position of the…

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Q: Find the one-sided limit (If It exists). (If an answer does not exist, enter DNE.) -(x². 9 X + 8 Ilm

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Q: Given the curve x = a² - y² over the interval 0 ≤ y ≤ a/2, find the surface area of the solid formed…

A: Solution is given below:

Q: Find the following for the given equation. r(t) = (e-t, 8t², 3 tan(t)) (a)_r'(t) = (b) r"(t) = (c)…

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Q: Find the limit. m (5x³-3x+2)

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Q: Question 2. ABCD is a parallelogram and M and N are the midpoints of BC and CD respectively. AM and…

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Q: Transformation by trigonometric formulas.

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Q: nd the one-sided DNE lim_(x². +x+5) x--5- exists). (If an answer does not exist, enter DNE. Submit…

A: Topic:- limits

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

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Q: Solve the following exponential equation. Express the solution in terms of natural logarithms or…

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Q: The rate of change of R is inversely proportional to R(x) where R > 0. If R(0) = 25, and R(4) = 10,…

A:

Q: Tutorial Exercise Find lim Ax-0 f(x + Ax) = f(x) Ax f(x) = 3x²-3x Step 1 Find f(x + Ax) by…

A: We will find the required limit.

Q: Considera with the given coefficients a an. R = 1 100 Find the radius of convergence R. π n = 1 плуп…

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Q: Find the second derivative of f(x) = 7 sin(4x). Enclose arguments of functions in parentheses. For…

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Q: 7. Using the method of undetermined coefficients, what is the final form for a particular solution…

A: We first find complementary function

Q: Find the area of the region enclosed by the parametric equation x = t³ - 8t y = 4t²

A: This is a loop formed find graph  And then find limits of t

Q: How many critical points the following function has, f(x, y) = x³ + x + xy² - 5? Select one: 0 1 0 3…

A: The objective of the question is determine the critical points of the given function and choose the…

Q: Given surface A: 4x² - 9y² = 9(z² + 4) 1. Find an equation of the trace of A on each of the…

A: answer is in next step.

Q: 3x + 8 Consider the function f(x) = . For this function there are two important intervals: (-∞, A)…

A: Find out the value of A at which the function is not defined.

Q: Find the solution to the initial-value problem. y' = 3x2(y2 + 4), y(0) = 0 y =   PLEASE SHOW STEP BY…

A:

Q: Question Rewrite the following quadratic function in standard (vertex) form. Enter exact values and…

A: This is a problem related to application of algebra. Please follow the procedure given below.

Q: A population of bees are dying at the rate proportional to the size of the initial hive, H(t), where…

A:

Q: 19. e +e=e**y

A: This is a problem related to differentiation. Please follow the procedure given below.

Q: The base of a three-dimensional figure is bound by the line y = 4 sin(x) on the interval [0, 1].…

A: To find the volume.

Q: Find the general solution to the differential equation. dy dt = y cos(7t + 2

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Q: Use log, 20.401, log, 3≈ 0.503, and log, 5 0.794 to approximate the value of the given logarithm to…

A: Given : logb2≈.401 , logb3≈.503 and logb5≈.794 To find : logb75≈?

Q: 18 0-17 ¹8 cos(x¹8+18) Question 6 Find the total differential for the function w = Odw - 262³ y sin…

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Q: Given the curve z = √a² - y² over the interval 0 ≤ y ≤a/2, f d the surface area of the solid formed…

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Q: Rewrite the equation with the variables separated. dy dx + √y = e* √√y dy √y-1 dy dy = ex dx = (ex -…

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Q: Evaluate the geometric series or state that it diverges. Το 198 Σ k = 0 56 k Select the correct…

A: topic - geometric progreesion

Q: A population of endangered salmon, S(t), starts out with 100 fish and decreases at a rate…

A: This is a problem related to decay law. Based on the general formula ad concept we will answer the…

Q: Find the equation for the line tangent to the parametric curve: at the points where t = 5 and t =…

A: Solution is given below:

Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

A:

Q: A bank pays compounded interest each year. Sue deposits $100 in the account, and after 3 years Sue…

A: Topic- differential Equations

Q: A radioactive isotope has a half life of 1 min. The amount of material, A(t), at t = 0 is 10 kg.…

A:

Q: Rewrite the equation with the variables separated. -ydy + sin(x) = 6 dx dy O = [6+ sin(x)] dx ey o…

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Q: 3) Find the minimum and maximum values y = 2x5 +5x² on the interval [-2,2]

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Q: Find the Taylor polynomial T3 for the function f(x) at the numbe sin(9) + cos(9)(x-9). sin (9) +…

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Q: Find the indefinite integral. [Hint: Use some algebra first.] (Use C for the constant of…

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Q: Use implicit differentiation in finding y'. 1. x²³+y³ =18xy 2. x²y+xy² = 6

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Q: 11x 6 then

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Q: Use Stokes’ Theorem to evaluate the flux integral ∫∫(∇×F)·ndS, where F =〈2y, −z, x+y −z〉, S is the…

A: To evaluate the flux.

Q: Find the partial derivative for the function f(x,y)=√x+y3 f(xx,y)= f(x,y) = √8x + y² 33x √8x+y³ (y)=…

A: The given function is;  f(x,y)=sqrt(8x+y3).