Find the slope and equation of the line pependicular to 2x - 5y- 21 = 0 passing thru (7, -1).

Q: 4. Let g(x, y) = e"/v, Find an equation for the tangent plane at (x, y) = (2, 1).

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Q: r. Given: mLA = 15°; a = 10; mZB= 57° Find b. |3D

A: Topic:- trigonometry ratios

Q: ACTIVITY 2 :Keep Practicing! Answer the following problems : 1) Find the number in the interval 12, ...

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Q: Lesson: LINEAR DIFFERENTIAL EQUATIONS Instruction: Find the general (or particular) solution of the ...

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Q: Problem 4: Using the method of shells, find the volume of revolution formed by revolving around the ...

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Q: y"+12y'+37y=10(e^-4t) @y(0)=4, y'(O)=0 * O y=2e^-6t cos(t) + 20e^-6t sin(t) + 2e^~4t O y=e^-6t cos(t...

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Q: Construct tangent segments drawn from an external point to a circle are congruent. Given: Tangents a...

A: Given problem:- Construct tangent segments drawn from an external point to a circle are congruent.  ...

Q: Find the oblique asymptote. 7 - x3 f(x) = 2x2 7-x3 2x2 y =

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Q: B. The graph of f(x) is given by (-14) (1,4) (-1,-2) (5,-2) (3, -4) (4, 5) Determine is f is continu...

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Q: 18. It states that for each value between the least upper bound and greatest lower bound of the imag...

A: Sine we are given with multiple number of question answered according to the guideline.

Q: 3 0 1] 0 2 1 5 2- Find A. A-1 if the matrix A is given by: A =| 0

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Q: Let V be the volume of a pyramid of height 20 whose base is a square with side length 8.

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Q: xdy − ydx = x^2dy, Solve for D

A: We can solve the DE as below

Q: Evaluate, thus Is 27- 5) Calculate the Taylor polynomials T2 (a) and T3 (x) centered at a = a of the...

A: Taylor polynomial is given as                                                                   Tn(x...

Q: (y - 1)2 (x +3)2 =1? Which of the following is true about the hyperbola |- 4 9.

A: Follow the procedure given below.

Q: Use numerical or graphical evidence to determine the left and right hand limits of the function. |7x...

A: find the limit of function, using graphical or numerical method. from the solution, we can say that ...

Q: Find the value of a and b such that the function g(x) is continuous. x 3

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Q: In problems 1-8 find the least order DE which has the general function as its general solution: 1. y...

A: I am attaching image so that you understand each and every step.

Q: 1 (х- 4) (x? +9)?

A: Given: - The rational function is, 1(x-4)3(x2+9)2 To find: - The partial fraction decomposition of t...

Q: Evaluate the following using a trigonometric substitution. Draw and label a reference right triangle...

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Q: Calculate y' and y" for y = x°e². (Simplify answer.)

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Q: Differentiate the function. z = A + Bcos y

A: We know that d/dx(xn)=nxn-1 d/dx(cosx)=-sin(X)

Q: Find the particular solution: (D² + 3D + 2)y = 12x²

A: Given thatdiffrancial equation D2 +3D+2y=12x2auxiliary equation is m2+2m+2=0i.e m+1m+2=0⇒m=-1,-2C.F....

Q: y = Ceax cos(bx) + C2eax sin(bx); a and b are parameters y = Ce2x cos(3x) + Cze2* sin(3x)

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Q: aw a simple graphical repres the magnitude of the resultant vector, angle and direction. A = 37 in, ...

A: Solution is here

Q: Solve the following Integral Equation: |frkt = xkfr =sin(t)- cos(1)+ 1(7),

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Q: 3. USE ROW -REDUCTION AND COFACTOR EXPANSION TO EVALUATE THE DETERMINANT: 4 2 = 141 4 -O U5 403

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Q: y R 4 Let R be the region bounded by the graphs of y = }x² + 2 and y = 2+ 6x – x? , as shown in the ...

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Q: The parabola y + 2y + 8x –7=0 has vertex at O (-1, –1) o (-1,1) о (1,-1) о (1,1)

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Q: xdy – ydx – /x² – y?dx = 0 -

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Q: 5e*dx V9-12e3* +4e6x

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Q: 4. (x + Vy? + 1)dx-(y y-: dy = 0 Vy2+1, %3D

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Q: Which of the following statements is/are TRUE? 1. The range of f(x) = tan a is (-o, +o0). %3D II. Th...

A: considering statement 1f(x)=tanxmin value of tanx is -∞ at x=-π2 and max value is∞ at x=π2Hence rang...

Q: S(x, y, z) = 2x'y²z²

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Q: 2. Evaluate each integral (very little calculations are required for these problems) 2 a) [- /9-(x+1...

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Q: If it diverges, enter DNE.

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Q: 7. Let f(x, y) = xy² and r(t) = (2t2, t³). (a) Calculate V f. (b) Calculate r'(t). (c) Calculate f (...

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Q: Write an equation of the tangent line to the curve f (x) = 2// + 3x at the point (4, f (4)). Upload ...

A: Here, the given equation of the curve is: f(x)=2x+3x To find the slope and the equation of the tange...

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A: We need to integrate∫x3+1xdx

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Q: Find the volume of the solid obtained by rotating the region enclosed by the curves f(x)=x^2+8 and g...

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Q: 2. In problems 1-5 verify that the indicated function y Ø(x) is an explicit solution of the %3D give...

A: We have to find verify given indicated function is an explicit solution of differential equation.

Q: 3. S 10x(x² – 1)ª dx 4

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: 3. In problems 1-8 find the least order DE which has the general function as its general solution: 1...

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Q: A. Determine if the following functions are continuous at x = c. (k) f(x): 22 – 4 ;c= 2 x - 2 (1) f(...

A: Note: As per our guidelines we are supposed to answer only the first 3 sub-parts if there are multip...

Q: first

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Q: 4. (Dª + 2D³ – 6D² – 16D – 8)y = 0 - - - %3D

A: The given differential equation,     D4+2D3-6D2-16D-8y=0

Q: Find the measure to the nearest tenth of the unknown angle given a = 8, b = 13, c= 20. Use a Find mL...

A: Given problem:- Find the measure to the nearest tenth of the unknown angle given a = 8, b = 13 , c =...

Q: et* +2e* e* +1 xp -

A: Topic = Integration