The ellipse 3 4 8 16 x²y² 1 = + 9 16 4 has a vertical axis of

Q: Consider the following integral. dx Given the substitution u = x4 - 4, find du. du = ])dx dx Rewrite…

A: The given integral is: I=∫x3x4-4dx   ...1   As we know that; ∫1ax+bdx=1alnax+b+C And…

Q: 4. What is the area of the parallelogram with sides a = = [3,2,1], b = [4,5,6]

A: Topic = Area

Q: 5. Evaluate the integrals: a) f(x²-y²)dA where D={(x,y) | -1≤x≤1, -2≤y<2}

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Q: Question R is the region bounded by the functions f(x) = 2-3 sin (x) and g(x) = 4 cos (x). Find the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use point-slope form to find the equation of a line that contains the points (100, -40) and (20,…

A: Given, (x1,y1)= (100,-40) (x2,y2)= (20,-5)

Q: scalar equation of a line that goes through T(2,-5) and is perpendicular to the line 3x-6y=5

A: Equation of line

Q: Evaluate the integral. (Use C for the constant of integration.) 5 [BX 8x √√x + c dx

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Q: Identify the conic section whose equation in standard form is y 2 + 8y - 10y - 34 = 0. ellipse…

A: Topic = Geometry parabola

Q: Express the Cartesian coordinates (0, 4) as polar coordinates. (4.7) 0( ) 3개 01.2) 아이플)

A: From cartesian to polar coordinate we the following formula x=rcosθ   and y=rsinθthen we get…

Q: estion 24 Copy of To integrate x³ ²dx' e+² x² Ox we apply integration by parts and in the form u dv,…

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Q: Problem Let y = f(x) denote the function defined as x² + x - 2, if x 2. -

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Solution: L-1 {1/s7}

Q: 1. (4D-23D³-33D²-17D- 2. 2. d^x dx +39³ x db db³ db² -27d²x 62

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Q: P/ by method of variation of Parameters -X find ゾーン Y-Y = e Sine

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Q: Solve the area bounded by the curve y=5-x^2 and the line y=2x. With graph.

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Q: Find the slopes-intercept form of the plane 9x + 4y + 6z = 24, then graph the plane. * है

A: We have to find the slopes-intercept form of the plane.

Q: Solve y' = 4xy - 2x, y(0) = 20 y(x) =

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Q: 20. e ³.x (e²x + 1)² dx

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Q: 4 + 5x² 4x + x³ dx

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Q: Let f(x,y) = 3x4 - 4x³y + 2x2y2-y. Let f, be the partial derivative of f(x, y) with respect to x.…

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Q: 7. dx ггтV)

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Q: 2- Explain why the following linear systems are positive definite, then solve them using the…

A: answer is in next step

Q: 4. (a) Find the general form of the equation of a line through A (2,-2) and B (-2,3). 4. a) (b) Use…

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Q: Evaluate e fxds, v ds, where C is a. the straight line segment x=t, y = from (0,0) to (8,4) 2' b.…

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Q: Let R be the region below enclosed by the curves r = 2 - y², y = − sin (7₂2), and x = -1, as shown…

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Q: Let f(x, y) = x³ + y³ - 2x²y². Calculate fa, fy, fax, fyy and fry. Hence show that (3/4, 3/4) is a…

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Q: Consider the second order differential equation with initial conditions u" - 4.5u' - 5.5u = -4…

A: The given equation is u" - 4.5u' - 5.5u = - 4sin(3t)

Q: Calculate the are bounded by the curves: C. y = e2x and x - 2y + 5 = 0

A: Area

Q: C. d. -TT/6 -TT/8 (secx + tan x)2 dx (sin 2x) dx

A:

Q: Find an equation of the tangent line to the graph of the given function at the specified point. f(x)…

A: topic- equation of tangent line to the function at point

Q: On your phone you have 23 rap songs and 14 country songs. How many 6 song playlists (order atters)…

A: Recall:  Crn=n!r!(n-r)!

Q: 10x3, 5-x, = x < -2 x ≥ −2 Let f(x) 1. f(-2)= 2. lim f(x) = x→→2+ 3. lim f(x): = x→→→2 4. lim f(x) x…

A: The solution of 4 and 5 are given in the next steps.

Q: J udv = uv J to Explain why the substitutions below are inappropriate. Let U = eª and 1. Suppose we…

A: lets here we use integration by parts rule  ∫xexdx here lets u = x v = ex  is good to substitute…

Q: ·S √ 6. dx x² - 4x + 13

A: ∫1u2+1du = lnu+u2+1+C

Q: 2. (yx + xycot x) dx + xdy = 0

A: Given problem:- Find the solution of the following differential equation.  (yx + xycot x) dx + xdy =…

Q: wing using properties from the class notes (do not assume any particular vectors for u and v). Show…

A: We have to find out projection

Q: Locate and classify the critical points of y=x²-4x-1

A: The given equation is  y=x2-4x-1.

Q: Given the triangle below, find the angle A and length of side x Note: picture is NOT drawn to scale,…

A: As we know from the Sine Rule: asinA=bsinB=csinC   Given: So, B=32°, a=30, b=29, c=x

Q: A thermometer reading 75°F is taken out where the temperature is 20°F. The reading is 30°F 4 minutes…

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Q: 3. dy dx + y = 2xy²e²

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Q: Given: c= 8, a = 5, C = 67° C b A B C Solve the triangle. (Do not round until the final answer.…

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Q: ! Q/ if A=(2, -4, 6) and B=(4,-2,5) Find the unit vector of AB UAB 2i + 2j - k √5 2i + 2j-k √5 خیار…

A: We have to find unit vector from given points.

Q: Let y = tan(5x + 2). Find the differential dy when x = 2 and dx = 0.3 Find the differential dy when…

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Q: The Kirk Kelly Kandy Company makes two kinds of candy, Kisses and Kreams. The profit, in dollars,…

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Q: Find the general solution of the differential equation: (1 + cos(x))y' - (sin(x))y= 2x 2x Step zero,…

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Q: If Æ(x) = 2x + 1, find Æ(a + h). 2a + 2h + 1 a + h + 1 2a + 2h + 2 2a + h + 1

A: Here we will find E(a+h),

Q: 8. The function f(x, y) = x² + 2y + 8y² - 4xy² has stationary points at some of the following…

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Q: Refer to the graph of f(x) on the interval [-2, 4] shown below. Which of the following would give…

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Q: If your get car get 32 miles per gallon, how much does it cost you to drive 30 miles when gasoline…

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Q: Find the function who’s derivative is dy/dx = tan(x)sec(x) - 9x^2

A: Given: dydx=tanxsecx-9x2   As we know that; The Power Rule: ∫xndx=xn+1n+1+C And the common integral.…