Consider the function f(x)=5x2−9x7f Let F(x)F be the antiderivative of f(x)with F(1)=0 then f(x)

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Q: Compute the determinant of the matrix by cofactor expansion. 325 114 O-56 -8 O110 8

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Q: To evaluate the integral I cos cos4 x sin3 xdx we save one sine factor and use sin² x = 1 cos²x to…

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Q: The graph of f is shown in the figure to the right. Let A(x) = for f. Evaluate the following area…

A: Understanding of definite integral is required in order to solve these types of problems. Definite…

Q: Use the triangle shown on the right and the given information to solve the triangle. b=4, A=70°;…

A: Given b=4, A=700, a=? c=? B?

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

A: Given that, the function is gx,y,z=xye8z and the points are P3,12,0 and Q0,0,0.…

Q: The domain of the function f defined by is equal to: Select one: O True O False 7 cos(x)+y² In…

A: This question is based on logarithmic function.

Q: The domain of f(r. y) = Select one True False 19-y V is the upper half of the disc centered at…

A: fx,y=9-x2-y2y

Q: 2. Prove that f(x) = |x + 1] 1| (−1,0) tangent line at has no

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: Find the Taylor or McLaurin series for the following functions f(x) = = x a=0 - 2x "

A: We have to find the McLaurin series for the given function.

Q: 8 n = 0 Identify an (-7)" (2n + 1)! Evaluate the following limit. an+ 1 an lim 718 an+ 1 Since lim…

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Q: Find ow/os and aw/ot using the appropriate Chain Rule. Function Values w = sin(7x + 8y) x = s+t,…

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Q: Find dw/dt using the appropriate Chain Rule. Function w = x sin y x = et, y = π - t dw dt || Value t…

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Q: 30. Let f: RR and g: R → R be defined by f(x) = 3x + 1 and g(x) = x² - 2. Determine (fog)(2) and…

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Q: Estimate Ay using differentials. .1/3 y = x¹/3 e³x-1, a = 1, dx = 0.1 -

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Q: Consider the following. w = xy cos z, x = t₁ y=t5, z = arccos t (a) Find dw/dt by using the…

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Q: tan² (x) sec¹(x) dx.

A: Given, ∫tan2(x)sec4(x)dx

Q: Determine the location and value of the absolute extreme values of f on the given​ interval, if they…

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. $ n = 1 Identify an…

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Q: if: z = cos 0+isin prove that: 1) 2+1 z+1 2)221 +1 = itan 0 z² = Z

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Q: f(x, y) = x²y + 4y and x = st, y = 2t - 3s. af and off. af Use Chain Rule to find ds Write your…

A: Follow the procedure given below.

Q: dy dx +²y=e*yª dx 4

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Q: Work Problems ( your works 1) Let F(t)=(4t — t²)i+t² j+sin(5t — 10) k - - - You need to show all a)…

A: Given: Ft=4t-t2 i+t2 j+ sin5t-10 k

Q: integral of cos x sin^3 2 x dx

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Q: 7. (a) Use the Maclaurin series cos x = 8 k=0 (-1)^2k (2k)! (b) Use the Maclaurin series ln(1 + x) =…

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Q: 1 SSR (x+y)² dxdy

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Q: I. Anti differentiate the following. B. (ANTIDERIVATIVES OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS)…

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Q: II. Anti differentiate the following. C. (ANTIDERIVATIVES OF TRIGONOMETRIC FUNCTIONS) (a) √ (cos r -…

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Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y(4) +…

A: We have to find the suitable form of Y(t).

Q: A tank that has a shape of an inverted circular cone with height 15 meters and base radius 6 meters…

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Q: Choose all critical points of the function f whose gradient vector is Vf(x, y)= ○ (0, 2) O None of…

A: We have to choose correct option for all critical points.

Q: Consider the function f (x) = x³ -12x^2 + 36x = x (x-6)^2 to answer the following questions.   1.…

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Q: Write the first five terms of the geometric sequence. a 1 = 6; r = 3

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Q: Integrate √1 - r²dr Select one: OA. }(arcsinx+v1_2)+C OB. }(arcsinx+2v1_z)+C OC. (arcsinx +…

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Q: 3. A 20 ft ladder is leaning against a wall and begins to slide. How fast is the top of the ladder…

A: A 20ft ladder is leaning against a wall and begins slide.The ladder is 12ft away from the wall and…

Q: 1. Find the Taylor polynomial p3 centered at a = 7/3 for f(x) = = COS I.

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Q: (2xy4e + 2xy³ + y)dx + (x²y4ev - x²y²-3x)dy = 0

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Q: Find the directional derivative g(x, y) = x² + y², of the function at P in the direction of v. P(5,…

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Q: A particle is moving with acceleration a(t)=30t+8a(t)=30t+8. its position at time t=0t=0 is…

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Q: Integrate 72x+3 dar Select one: OA. 722+3 In 40 OB. 72+3 In 49 OC. 72x+3 In47 OD. 72+3 In50 +C +C +C…

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Q: S cscycoty 1+cacy dy Select one: OA. - In (1+ csc y) + C OB. In (1+ csc y) + C OC. In² (1+ csc y) +…

A: Given problem:-

Q: Use Newton's method to approximate a root of the equation cos (x² + 4) = 2³ as follows. Let x1 = 2…

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Q: Find the points of inflection of the graph of the function. (Round your answers to three decimal…

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Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not…

A: Suppose that x=c is a critical point of fx then, If f 'x>0 to the left of x=c and f 'x<0 to…

Q: The temperature in degrees Celsius on the surface of a metal plate is given by T(x, y), where x and…

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Q: Find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector…

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Q: The integral is improper. Select one: True O False 2 [₁² 2x -3 x² - 9 - dx

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Q: Answer the following True or False. 4ª + C In 4 faº f₁² da = True Faise

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Q: Describe the surface with cylindrical equation r=6

A: We have to describe the surface with cylindrical equation r=6.

Q: Integrate the given function (Handwritten) tan2x + 2x^2x

A: Here we use basic formula of integration .