Use the alternative form of the dertvative to find the dertvative at x = c (If it exists). (If the derivative does not exist at c, enter UNDEFINED.) f(x) = x + 4x? + 7, c = -4 f(-4) = | Submit Answer

Q: Let y be defined implicitly by the equation 8a? – 10y = 7 Use implicit differentiation to find the…

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Q: Construct YOUR OWN example of how to determine the derivative of a given function and the process…

A: Given

Q: Given: f(x) = 60x3/4(40000-x)1/4 Task: Find f'(x).

A: Here, the given function is: f(x)=60x34(40000-x)14 We use the product rule and chain rule here,…

Q: . lim, 1 -2 Inx x-1

A: To evaluate the given limit

Q: lim メ→

A: This is a problem related to limit and continuity part. Please follow the procedure given below.

Q: 4. A ball rolls horizontally off a cliff at 10 m/s. It takes 20 seconds for it to hit the ground.…

A: height = (1/2)gt2 +v0t  but here v0 = 0 for initial  height = (1/2)gt2 height = (1/2)(9.8)(20)2…

Q: Find the tangent line to the curve y = x + 2x3-2x2 -3x + 3 which is perpendicular to the line x- 3y…

A: Given :y=x4+2x3-2x2-3x+3Line : x-3y=2

Q: sin(h) Evaluate: lim h →0 4h

A: Evaluating the limit with the help of standard limits.

Q: Express the slope of each diagonal line (the one side of each shape which is not horizontal or…

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Q: (2r+1)dr 5. S r2+2r+1 3r+5

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Q: 03/ The dimensions of a rectangular solid at a given instant (t.) are : L(t) 13 cm. W(t)-9 cm. H(t.)…

A: Given problem:- The dimensions of a rectangular solid at a given instant (t0) are: L(t )=13 cm.…

Q: 1 х-х2 dx -8 2

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Q: Зx2 — 2х + 2 x(x² + 1)

A: Given,  ∫ 3x2-2x+2x(x2+1)dx

Q: dx S- VVx+1

A: As per the company's guidelines, we are suppose to answer only first question. Kindly repost the…

Q: give

A: We will solve the integration.

Q: Q2: State and prove the first isomorphism theorem.

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Q: Name: Tu3pg07 Exponential Transformations Practice: For each exponential function list the yalues of…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Solve the following differential equation: dv = Vcoto + V³cosece OP

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Q: 1 dx -1 1+ 3x²

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Q: Evaluate: | V12 – 2| +x dx

A: Explanation of the answer is as follows

Q: In R', the equation x² + y + z? = 4 describes a sphere of radius 2. Select one: True O False

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Q: 1- y = %3D 2yt+1 y(1) = -2 2- y'3 =? -2xy %3D 1+r2 y(2) = -5

A: As per our guidelines we can help you in solving only first problem rest of the problems you have to…

Q: Using half-angle identities, find the exact value of tan Note that (1 cos 0 1– cos 0 sin 0 tan 2 1+…

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Q: 4) Evaluate each integral using the indicated substitution |(2x+7)(x² +7x +3)*5 dx; u=x² +7x+ 3

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Q: lim, [-6(x – sin " x)(cscx)'] 0-x,

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Q: (h – 2) - 4 (i) lim 2h

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Q: 2) Evaluate the integral and check your answer by differentiating. dx b) Jx"(2-x)° dx

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Q: Let B be the region in the first octant inside both x + y + z? = 1 and Vx2 + y² . Z. 3= a) Find the…

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Q: Evaluate the limit 25 – b lim b→ 25 5 – vb -

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Q: Evaluate the integral: V2 1 5xdx *Input answer as a decimal. Round-off to 2 decimal places.

A: The final answer is rounded off to 2 decimal places.

Q: Geometric Sequence A. Find the indicated terms of the following geometric sequences. 4. 3, 6, 12,…

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Q: 7. p =5+2/6 a. Resolve into factors: x-8(x-y) 1 b. Show that p° = 396/6 p° c. Find the value of p…

A: This question can be solved using the concept of factorization.

Q: 14 V1+ 7x dx

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Q: | 4r* cos y dA; R = {(r, y) : 1 s r s 2, 0 sysa/2}.

A: Given: I=∫∫R4x3cosydA and Rx,y: 1≤x≤2, 0≤y≤π2   As we know that; ∬dA=∬dxdy or ∬dydx And The Power…

Q: QI: A) Solve the following initial-value problem: x e* dx + (y- 1)dy = 0; y(0) = 0 %3D B) Solve the…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: Find the maximum and minimum values of the function f(z, y) = 2*y subject to 5z + 2y? = 30 %3D %3D…

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Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the…

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Q: dy cot X Cos X Sin x +y=

A: The given DE is: cot x dydx+y=cos3xsin x⇒dydx+ycot x=cos3xsin x1cot x⇒dydx+(tan x) y=cot…

Q: 6) By implicit differentiation find a) xy + y´ = 2 find d´y/ dx² b) sin(x²y²)= x _find dy/dx

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Q: 3. y? = -x ,x² + 3y + 4x + 6 = 0

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Q: || 21*y dA, R is bounded by the parabolas y = 3r* and y = 16 – r*.

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Q: Use the tabular method to evaluate the integral fa (x³ + 2x-1) cos(4x)dx COS

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Q: Find the maximum and minimum values of the function f(x, y) subject to a + y* = 54 Maximum value:…

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Q: Find the values of Xx, y and z that correspond to the critical point of the function: z = f(x, y) =…

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Q: The flow rate of water at a pumping station on a given day, is given by the function R(t) = -t? +…

A: This is a problem related to integration. Based on the concept and formula we will answer the…

Q: Jse substitution to find the indefinite integral. dx Describe the most appropriate substitution case…

A: Given query is to find the value of the integral.

Q: Find the centroid of the solid generated by revolving about the indicated axis the area bounded by…

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Q: in terms of x and y for the points (x, y) A5. (a) Use implicit differentiation to find that lie on…

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Q: 4 dx 4-x2 Evaluate

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Q: a) Find the triple integral xdV.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…