II. Give the indicated derivative 1) find the 27th derivative of cos x

Q: Use the vertex  (h,k)  and a point on the graph  (x,y)  to find the general form of the equation of…

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Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 O A. OB. O نا ey eLny O D.y O…

A: Given Data  y(x+y+1)dx + x(x+3y+2)dy =0

Q: Which of the following equations has a solution of the form F(x,y) = C A. 2x + 3y + (2y + 3x) dy dx…

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Q: Which of the function is not an exact equation of the first order? O A. (ey + ycosx) dx + (xey +…

A: To find the non exact equation.   Option c and d are correct

Q: Given the vectors a = (2,-1,3), b = PQ where P(1, 1, 1) and Q (5, 1, -1) and Ĉ = 1 + 1 + 3k. Find a)…

A: Given vectors are as  a→=2i-j+3kb→=(5-1)i+(1-1)j+(-1-1)k     = 4i-2k c→=i+j+3k    c) Projection of…

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Q: Eliminate the arbitrary constants of y=ce*+₂4-sin3x

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Q: Find the equation of the plane through P(2,-1,1) that is parallel to II: 2x + 3y +z - 12 = 0.

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Q: aluate the integral. [29 tan 29 tan 5x sec 4x dx

A: The given integral is  ∫29tan5xsec4xdx

Q: Which of the following equations is NOT a variable separable differential equation? OA 2xydx + (x² +…

A: NOTE: Refresh your page if you can't see any equations. . check the first DE now all x variables…

Q: K A rain gutter is to be made of aluminum sheets that are 12 inches wide by turning up the edges…

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Q: Evaluate the following integral. z+7 z(z²+9) dz

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Q: Determine all the methods that can be used to solve the differential equation ( 3x ²y ³ — 4x − y ³)…

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Q: If F(x) = f(6f(5f(x))), where f(0) = 0 and f'(0) = 1. Find F'(0). F'(0) = Need Help? Submit Answer…

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Q: If f(x) = 2x(sin x + cos x), find f'(x) = 2x cos(x) - 2x sin(x) + 2 sin(x) + 2 cos(x) f'(4) = |

A: To find f'(4)

Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x. O A. y"-3y' = 0 3y" - y'…

A: Topic-differential equations We are given,y=c1+c2e3xWe know thatddxeax=aeax

Q: Find the present value of $4000 payable at the end of 4 years, if money may be invested at 8% with…

A: The amount $4000 payable at the end of 4 years, the money invested at 8% with interest compounded…

Q: Find the exact length of the curve. X = t 2 + t y = In (2 + t), 0≤t≤1

A: Given: x=t2+t, y=ln(2+t) We know that exact length of the curve is given by  s=∫t1t2dxdt2+dydt2dt

Q: Determine the order and degree of the differential equation, 3x- dy4 O A. First order, fourth degree…

A: Topic- Order and degree of differential equation We are given, 3xd4xdy4+5x2d2ydx23-xy=0We know that…

Q: Let ƒ(x) = x/x - 2. Find a function y = g(x) so that (ƒ ∘ g)(x) = x.

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Q: 2 5. Sketch the region bounded by the curve x 2 = y and the line x = y + 2 and find the volume of…

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Q: If f (x) = x2 - 3x, find f (0), f (5), f (3), and f (-7).

A: Given data:- The given function is, fx=x2-3x

Q: (d) Let y(x) = [tan-¹ (√)]4. Find y'.

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Q: 5. Let f(x) = 4x2x3 - 1. Explain, by using the Intermediate Value Theorem, why this function has (at…

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Q: Draw the unit circle and then shade in an arc of the circle's boundary with a shaded arc length of…

A: Length of arc, l = r * theta  Where, r = Radius of circle       theta = Angle subtended by arc at…

Q: ating factor (IF) of the equation: - 4x²y + 2xy² + xy + 2y)dx + (2y³ + 2x²y + 2x)dy = 0 e of the…

A: We will find upon multipication which factor make above differential equation exact .

Q: Solve for the value of C in the equation: (2xy¹ey + 2xy³ + y)dx + (x²y4eY - x²y² - 3x)dy = 0 when…

A: uation Given differential equation of the formMdx+ Ndy=0

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Q: Evaluate the derivative of the following function. 1) 6x H(x)= (5x +

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Q: Rewrite the following expression in terms of exponentials and simplify the result. (cosh 3x - sinh…

A: We need to rewrite the given expression in terms of exponentials.

Q: 5 5 Suppose ff(x) dx = 25, f f(x)dx s., $ f(x)d. 3 0 the following: a. 0 3 (5f(x) - 6g(x) + 4h(x))dx…

A: The basics of integration must be cleared in order to attempt this question. Rest of things are…

Q: Devise an exponential decay function that fits the given data, then answer the accompanying…

A: Here, the equation used is: P=P0ekt...(1) where P is the pressure of the atmosphere at t=0 and k is…

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Q: ple of gas is compressed at a constant temperature, the pressure P of the gas is inversely…

A: Pressure is inversely proportional to volume , take k as constant   for P = 50 kpa , and V = 0.103…

Q: Which of the following is a non-homogeneous function?

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Q: A baseball diamond is in the shape of a square with 50 ft sides. How far is it from home plate to…

A: A baseball diamond is in the shape of as quare with 50 ft sides. To determine how far is it from…

Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x.

A: Obtain the differential equation whose general solution is y= C1 + C2 e^3x

Q: Given the differential equation: 2 y' + ²y = 6x²

A: To choose the appropriate method to be used to solve the given DE. Method 5: Exact Equation Method…

Q: Similarly, approaching along the y-axis yields a limit equal to 0. Since these two limits are the…

A: Given that a limit problem and we solve this problem by using general property of limit.   Here i…

Q: lim x→7 x-7 14 x² - 7²

A: SOLUTION-

Q: Find the curvature (as an exact value) of (t) when t = 1

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Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 OA. O B. ey O eLny °A O D.Y O…

A: given    y(x+y+1)dx+x(x+3y+2)=0

Q: the difference quotient for the given function. Simplify your answer. Rx)=x²³, f(a+h)-f(a) function…

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Q: Question 9 Which of the following equations has a solution of the form F(x,y) = C A. 2x + 3y + (2y +…

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Q: Tutorial Exercise Determine the set of points at which the function is continuous. G(x, y) = In(x² +…

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Q: Find the general solution of the differential equation y" + (wo)²y = cos(wt), w² ‡ (wo)². NOTE: Use…

A: Solution: Given data, y"+(w0)2y=cos(wt) Lets compose the auxiliary equation m2 + w02  =0 m1 = iw0 m2…

Q: Two ships leave the same port at noon (12PM). Ship A sails north at 15 mph, and Ship B sails east at…

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Q: Consider the parallel piped with adjacent edges π = -2 ²²³ + 3√² + R²³₁ V² = ² + 3√² + 3K² and W =…

A: To find volume of parallelepiped.

Q: Evaluate the sum 50 Σ(2 · k + 5) = k=1 50 Σ5₁(2. k+5). k=1

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Q: For the piecewise linear function f(x) graphed below, find the following. (If an answer does not…

A: Condition for existence of limit at x=a⇒limx→a-fx=⇒limx→a+fx=⇒limx→afx