Sketch the graph of the equation by point plotting. ( y = x + 2 10 0

Q: (4) Find the equation of the line tangent to f(x) = 12√ - 2² at the point (4,8).

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Q: Express the number as a ratio of integers. 1.325 1.325325325.... -

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Q: Given the function of two variables ƒ(x, y) = 4x³ − 60x² + 12xy² − 24y² +3. - - Find and classify…

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Q: Evaluate the integral using the following values. 8 [³x x³ dx = 1,020, 2 [²x dx '8 8 L³x dx - 30,…

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Q: If f(x) = (3x + 2)−ª, find ƒ'(x). Find f'(5).

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Q: 3 The integral ³³ g(x, y) dxdy is equivalent 3 to ₁ ³x g(x, y) dydx

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Q: Use the formula for the cardinal number of the union of two sets to solve the problem. set A…

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Q: Sketch the region R and evaluate the iterated integral [(x + y) dx dy y 3 y 5- 4 3- 2- 1- [[ [ f(x,…

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Q: (5). a. The length of one side of a square tile is 1½ feet. Determine the area of the tile in square…

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Q: A vector with magnitude 9 points in a direction 160 degrees counterclockwise from the positive x…

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Q: Rewrite the equation in exponential form.   ln(b)=n

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Q: Find the derivative of f (x) = 30 6/2x+1

A: Given problem:- f(x)=-302x+16  TO Find:- Deriative of f(x)

Q: The following chart shows student population in a certain elementary school over a 5 year period.…

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Q: 0 T 2 T 2 f² sin(x - y) dxdy is eg elect one: True False

A: Topic:- application of integration  Yes given statement is true .

Q: 1 3. How many terms of the convergent p-series k=1² must be summed to obtain an approximation that…

A: We have to find no. of terms of the convergent p series.

Q: Graph the following function, showing all asymptotes and relative extreme points. 16 O TV.W.N f(x) =…

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Q: Find the general solution of the given higher-order differential equation. y (4) - 2y" + y = 0 y(x)…

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Q: Evaluate the triple iterated integral. LLL Jo π/4 6 6-r rz dz dr de

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Q: 2. Simplify the following logarithms and If possible, write the following as a single logarithm. 1…

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Q: Find Magnitude and Direction (Angle) Giving the Vector Given the vector u = -47 +17, find the…

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Q: Əw Find Ət using the appropriate Chain Rule for w = x² + y² + z² where x = 10rsin(s), y = 10tcos(s),…

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Q: 2. (x+y) dx + (3x + 3y − 4) dy = 0

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Q: Find the Jacobian (x, y) / d(u, v) for the indicated change of variables. x=u-v², y = u + v a(x, y)…

A: Follow the procedure given below.

Q: Find the general solution of the given second-order differential equation. 3y" + 2y' + y = 0 y(x) =

A: 3y''+2y'+y=0

Q: Let f(x) be defined by f(x) = 3x² + 5x + 2. Find the slope of the tangent line to the curve y = f(x)…

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Q: Differentiate d/dx  ∫ [cos(x), 0] t dt (using the Fundamental Theorem)

A: Differentiate d/dx  ∫ [cos(x), 0] t dt (using the Fundamental Theorem)

Q: Find the gradient of the function at the given point. w = 5x²y-7yz+z², (1, 1, -2) O 15i+ 26j+ 11k O…

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Q: Determine the general solution of the given differential equation. y"" - y = 11 sint NOTE: Use C₁,…

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Q: Sketch the image S in the uv-plane of the region R in the xy-plane using the given transformations.…

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Q: Sketch the solid whose volume is given by the iterated integral and rewrite the integral using the…

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Q: The length and width of a rectangle are measured as 38 cm and 34 cm, respectively, with an error in…

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Q: 4. (x-1)(2x³+2x²+3x+2) dx x³ (x+1) r 5. csc ³0 de

A: We have to integrate question no 4 and 5.

Q: 5. lim 248 100 5+2³+ [In(In r)] 7² +6²+ [In(In x)]200

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Q: Let X 1 f(x) = √²/² 0 e²x² 842 dt. t4 +5 ex none of the choices e2x Find the derivative f'(x).

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Q: Find an equation of the line that passes through the points. (-2, 8), (1,5) Sketch the line. O No…

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Q: Determine whether the vector field F is conservative. F(x, y, z) = ye²i + zexj + xe k conservative…

A: We have to check if F is conservative or not.

Q: Estimate the slope of the graph at the points (x₁, y₁) and (x2, Y₂). At (x₁, y₁), slope At (x, y₂),…

A: We know:- sllope of a line passing through two points =y2-y1x2-x1

Q: Find the derivative of the function using Chain Rule. Given f(x)=(x²+x-3)√√x²+x-3

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Q: Find the smallest number n of terms needed to obtain an approximation of the series 10 -6 n = k=1…

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Q: 3. What is the arc length of y=e* from x= 1 to x=5? Draw the curve

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Q: Given g = 67 + 7 and ủ = 8ỉ – 73, find ||ỹ + ū|| and ||ģ|| + ||ū||. Give EXACT answers. You do NOT…

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Q: y = ³/2, y = 8, x = 0

A: answer is in next step. please give a like .

Q: etermine the Laplace Transfor f(t) = 3te-5t cos(2t) stands ca

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Q: Consider the function y = f(x) graphed below. Give the x-coordinate of a point where: A. the…

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Q: f(x) = (x-1)^3 (x-1) (x-2)

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Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, ƒ'(1) = 1, g'(1) = 5. For the following…

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Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, f'(1) = 1, g'(1) = 5. For the following…

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Q: Q5 a) 100 5² +2³+ [In(Inr)] lim 1+ 7 +6² + [In (In x)] 200 cos x ln(x - *) *-+*+ In (e² - e*) b) lim

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

A: We have to find the one side limit

Q: first order partial derivatives, i.e. dz/dx, dz/dy: xy³. z = In√√xy Z

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